Find the domain and range of the relation and determine whether it is a function.
a. domain: all real numbers; range: all real numbers; Yes, it is a function.
b. domain: positive integers; range: positive integers; No, it is not a function.
c. domain: x ≥ 0; range: y > 3; No, it is not a function.
d. domain: x > 3; range: y > 0; Yes, it is a function.
Answers
Let's look at the graph. If we do the vertical line test, we can figure out that YES, it is a function, so option b and c are already out of the picture.
Now, to find the domain, look at the graph and shade it back to the x-axis. The domain includes every number greater than 3, so the domain is x>3.
To find the range, take a look at the graph and shade it back to the y-axis. The range includes every real number greater than 0, so the range is y>0
This means that d is the answer.
I really hope this helps!
Best wishes :)
Using function concepts, it is found that the correct option is:
d. domain: x > 3; range: y > 0; Yes, it is a function.
A relation is a function if for each value of the input, there is only one respective value of the output. In a graph, it means that for each value of x, there is only one respective value of y.
In this graph, there is only one value of y for each value of x, hence, it is a function.The domain of a function is the set that contains all possible input values. In a graph, it is the values assumed by x, the horizontal axis.
In this graph, x assumes values greater than 3, hence the domain is x > 3.The range of a function is the set that contains all possible output values. In a graph, it is the values assumed by y, the vertical axis.
In this graph, y assumes values greater than 0, hence the range is y > 0.A similar problem is given at https://brainly.com/question/10891721
Related Questions
A rectangle perimeter is 102 inches. The width of the rectangle is 9 inches more than half the length. What are the length and width of the rectangle?
Answers
51 = L + (1/2L +9)
42 = 3/2L
28 = L
W = L/2 +9 = 23
The length and width of the rectangle are 28 inches and 23 inches, respectively.
Please help me with this question
Answers
.. A = (1/2)*(1/2)*6*(10 cm)*x = 15x
.. 130 cm^2/15 = x ≈ 8.7 cm
_____
In a regular hexagon, the apothem is always the side length multiplied by (√3)/2. It will be 8.7 cm regardless of the shading.
Which of the following represent the rule y = x + 2? Input x -3 -2 -1 0 1 Output y -1 0 1 2 3 Input x 3 4 5 6 7 Output y 5 7 9 11 13
Answers
the rule is
y=x+2
then
for x=-3 -------------------> y=-3+2=-1
for x=-2 -------------------> y=-2+2=0
for x=-1 -------------------> y=-1+2=1
for x=0 -------------------> y=0+2=2
for x=1 -------------------> y=1+2=3
for x=3 -------------------> y=3+2=5
for x=4 -------------------> y=4+2=6
for x=5 -------------------> y=5+2=7
for x=6 -------------------> y=6+2=8
for x=7 -------------------> y=7+2=9
the answer is
Input x -3 -2 -1 0 1 Output y -1 0 1 2 3
Input x -3 -2 -1 0 1
Output y -1 0 1 2 3
Explanation:
Given functión y = x + 2
Choices:
1)
Input x -3 -2 -1 0 1
Output y -1 0 1 2 3
2)
Input x 3 4 5 6 7
Output y 5 7 9 11 13
Answer:
You just have to use the sets of input values and find the output values with the given function:
The computes are very simple so you can tell the answer at first sight, because the output, y, is 2 units more than the input, x.
The first set of data fits the function because
x = -3 => y = -3 + 2 = -1
x = -2 => y = -2 + 2 = 0
x = -1 => y = -1 + 2 = 1
x = 0 => y = = 0 + 2 = 2
x = 1 => y = 1 + 2 = 3
That proves that the first set of data represents the given rule.
For the second set of data pick x = 4 => x + 2 = 6 but the correspondant y is 7, so that set does not represent the rule y = x + 2
Daisy designs 30 cards in a day and Lisa designs 12 cards in a day how many more cards does daisy design than Lisa
Answers
Lisa designs 12 cards
Difference in the number of cards
30 - 12 = 8
Daisy designs 8 cards more than Lisa.
To find out how many more cards Daisy designs than Lisa, subtract the number of cards Lisa designs from the number of cards Daisy designs. Daisy designs 18 more cards than Lisa.
Explanation:To find out how many more cards Daisy designs than Lisa, we need to subtract the number of cards Lisa designs from the number of cards Daisy designs.
Daisy designs 30 cards in a day and Lisa designs 12 cards in a day.
Therefore, Daisy designs 30 - 12 = 18 more cards than Lisa.
Learn more about Designing cards here:https://brainly.com/question/27796394
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Sela's piano lesson starts at 4:45pm the lesson is 30 minutes long
Answers
the piano lesson ends at 5:15
whats the equation of the line?
Answers
Barry has an ice tray that makes ice cubes shaped like a cone with a diameter of 2 cm and height of 2 cm. To the nearest cubic centimeter, what is the volume of an ice cube from Barry's tray?
Answers
A bag contains 5 purple marbles and 5 orange marbles. Rahul reaches into the bag and draws one marble without looking. Then he replaces the marble and repeats the experiment. If he repeats the experiment 120 times, how many times should he expect to pull out an orange marble? Please someone help me I need to finish this soon
Answers
Number of favorable possibilities: 5.
Number of all the possibilities: 10.
So the probability of getting an orange marble is: 5/10=1/2.
Since the above probability is 50%, then multiply by the 120 experiment in order to get the number of time we expect an orange marble:
[tex]120\times0.5=60.[/tex]
Answer: 60 times.
how many subsets of at least one element does a set of six elements have
Answers
but this also includes a null set, because a null set is a subset of every set
So in our problem = 2^6 -1 = 63 subsets
Choice B
Answer: The required number of subsets is 63.
Step-by-step explanation: We are given to find the number of subsets of at least one element that a set of six elements have.
We know that
the number of subsets of a set having n elements is given by
[tex]N=2^n.[/tex]
So, the number of subsets of the set having six elements will be
[tex]N=2^6=64.[/tex]
Since there is only one subset of every set that contains less than one element (that is the empty set), so
the number of subsets of the set with at least one element is given by
[tex]N-1=64-1=63.[/tex]
Thus, the required number of subsets is 63.
if the unit selling price is2.50 and the unit cost 1.00 wjat action is needed maintain gross margin percentage when unit cost increase 0.25
Answers
Helppp experrts/ace/geniuses
Answers
Anyone know the right answer?
Answers
Whatever follows per is on the denominator of the fraction
So it's cm/$
21.5 cm / 17.20 = 1.25 cm / dollars.
It's an odd unit, but that's what it is.
This is very expensive wire. Must be made of something like platinum.
Solve the logarithmic equation. Round your answers to the nearest hundredth. 6+in x=8
Answers
[tex]\bf \textit{Logarithm Cancellation Rules}\\\\ log_a a^x= x\qquad \qquad \boxed{a^{log_ax}=x}\\\\ -------------------------------\\\\ 6+ln(x)=8\implies ln(x)=2\implies log_e(x)=2 \\\\\\ e^{log_e(x)}=e^2\implies x=e^2[/tex]
Answer:
[tex]x=7.39[/tex]
Step-by-step explanation:
we are given equation as
[tex]6+ln(x)=8[/tex]
Since, we have to solve for x
so, we will isolate x on anyone side
Firstly, we will subtract both sides by 6
[tex]6+ln(x)-6=8-6[/tex]
[tex]ln(x)=2[/tex]
now, we can take exponent of e on both sides
[tex]e^{ln(x)}=e^2[/tex]
now, we can use property of log
and we get
[tex]e^{ln(a)}=a[/tex]
we can use it
[tex]x=e^2[/tex]
So, solution is
[tex]x=7.39[/tex]
Which is a cubic function? a. f(x) = 3x + 1 b. f(x) = 3x2 + x + 2 c. f(x) = 5x3 + 2x + 1 d. f(x) = x3 + x4 + 5
Answers
Answer:
Option C is a cubic function
Step-by-step explanation:
Given the options we have to choose the cubic function
Cubic function is the function with degree 3 i.e the highest power of variable is 3.
Option a: [tex]f(x)=3x+1[/tex]
The above polynomial has highest power 1 i.e of degree 1
∴ not a cubic function
Option b: [tex]f(x)=3x^2+x+2[/tex]
The above polynomial has highest power 2 i.e of degree 2
∴ not a cubic function
Option c: [tex]f(x)=5x^3+2x+1[/tex]
The above polynomial has highest power 3 i.e of degree 3
∴ above is a cubic function
Option d: [tex]f(x)=x^3+x^4+5[/tex]
The above polynomial has highest power 4 i.e of degree 4
∴ not a cubic function
The probability is 0.2 that a person shopping at a certain store will
Answers
The basketball team has been working hard to increase their points scored. The goal is to increase the number by 9% each game. In last week’s game, they scored just 66 points. In this week’s game they scored 72 points. Did they reach their goal this week?
Yes, they increased their score by 9%.
Yes, they increased their score by 8%.
No, they increased their score by only 6%.
No, they increased their score by only 8%.
Description
Answers
Yes, they reach the goal and increased their score by 9%.
What is percentage increase?% Increase = Increase / Original Number × 100. This gives you the total percentage change, or increase.
Given:
Last week game score=66
Next week game score= 72
Change in score= 72-66=6
So,
% increase= Change in score/original score *100
=6/66*100
=9.09 %
Hence, the score increase by 9.09%.
Learn more about percentage increase here:
https://brainly.com/question/20818421
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A motor bike gets $60 kilometers per gallon of gasoline how many gallons of gasoline would the bike need to travel 240 kilometers
Answers
60 km/ 1 g = 240 km/ x
Cross multiply to find x.
60x = 240
x = 4 The bike would need 4 gallons of gasoline.
To calculate the amount of gasoline needed, divide the distance to travel (240 kilometers) by the vehicle's fuel efficiency (60 kilometers per gallon), which results in 4 gallons.
To find out how many gallons of gasoline a motorbike would need to travel 240 kilometers, we can use the provided fuel efficiency of the bike, which is 60 kilometers per gallon. The calculation involves dividing the total distance by the fuel efficiency:
First, write down the given efficiency: 60 kilometers per gallon.
Next, divide the distance to be traveled (240 kilometers) by the fuel efficiency:
240 kilometers / 60 kilometers per gallon = 4 gallons.
Thus, the motorbike would require 4 gallons of gasoline to travel 240 kilometers.
PLEASE HELP ASAP! I WILL MARK AS BRAINLIEST!!
An irregular polygon is shown below:
Image of irregular polygon with length of 8 units and height of 3 units labeled on left side. Top side length of 4 units, the side adjacent to it on the right is 1 units. The area of the irregular polygon is ____ square units.
Answers
12+8=20.
HOPE THIS HELPED☺☺
Answer:
26
Step-by-step explanation:
How many 10 person juries can be formed from 21 possible candidates???
Answers
This is a combination; out of 21 you are choosing 10:
[tex]_{21}C_{10}=\frac{21!}{10!11!}=352,716[/tex]
Answer:
352,716 juries of 10 people can be formed from 21 possible candidates
Step-by-step explanation:
I am supposing that there are no roles in the jury, which means that the order in which the people are chosen is not important. So i calculate the number of possible juries using the combinations formula.
Combinations formula:
[tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.
[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]
10 people from a set of 21
[tex]C_{21,10} = \frac{21!}{10!(21-10)!} = 352,716[/tex]
352,716 10 person juries can be formed from 21 possible candidates
After a concert for 1,600 people, only 4 people said they would not go to see the band again. What percent of the people who went to the concert said they would not go to see the band again?
Answers
The answer you are looking for is 0.25%.
To find this, you must first divide 4 by 1,600, to find the decimal amount of people who said they wouldn't go again. This would give you 0.0025, which you then multiply by 100 to make a percentage. Thus making 0.25%, the correct answer.
I hope this helps!
Answer:
0.25 percent
Step-by-step explanation:
Which of the following is a negation of the statement below?
All students like math.
Answers
Answer:
All students do not like math
Step-by-step explanation:
Because if it was 'No students do not like math' would mean 'all students like math'
Two fair dice are rolled. what is the (conditional) probability that the first dice lands on an even number given that at least one of the dice lands on a 6?
Answers
Which is the most reasonable conjecture about the data shown in the scatter plot?
I think B? I'm not sure..
Answers
Notice that as the horizontal axis moves away from the origin of coordinates, the vertical axis also moves away from the origin of coordinates.
Answer:
people with more experience, have to earn higher salaries.
option B.
Find the next number sequence 192,96
Answers
what is the answer to 3 (k-2)-6=4k-(3k-1)
Answers
3k -6 -6 = 4k -3k +1
Collect terms.
3k -12 = k +1
Add 12, subtract k
3k = k +13
2k = 13
Divide by the coefficient of k
k = 13/2 = 6.5
The sum of two numbers is 38. The larger number is 20 more than the smaller number. What are the numbers?
Answers
x+20= larger number
Add the two numbers together and solve for x.
x + (x+20)= 38
combine like terms
2x + 20= 38
subtract 20 from both sides
2x= 18
divide both sides by 2
x= 9 smaller number
To find the larger number, substitute x=9 in the expression x+20.
=x+20
=9+20
= 29 larger number
CHECK:
9 + 29= 38
38= 38
ANSWER: The smaller number is 9 and the larger number is 29
Hope this helps! :)
what is 5 1/2 × 2 1/3
Answers
Here is your answer:
The proper answer to this question is "77/6".
Here is how:
First turn the mix numbers into fractions:
5 1/2=11/2
&
2 1/3=7/3
Now write the equation:
11*7=77
2*3=6
Your answer is 77/6!
If you need anymore help feel free to ask me!
Hope this help!
Find the general solution of the differential equation y'' - 2y' - 3y = -3te^(-t)
Answers
Give a description of a3/4 turn of the minute hand on a clock face
Answers
which represents the solution(s) of the equation x2=289?
a. x equals the square root of 17
b. x equals positive square root of 17
c. x equals negative square root of 289
d. x equals positive square root of 289
Answers
Hope this helps!
Answer:
The answer are the options C and D
x equals negative square root of [tex]289[/tex]
x equals positive square root of [tex]289[/tex]
Step-by-step explanation:
we have
[tex]x^{2} =289[/tex]
Take square root both sides
[tex]x=(+/-)\sqrt{289}[/tex]
therefore
the solutions are
[tex]x=+\sqrt{289}[/tex]
[tex]x=-\sqrt{289}[/tex]