# use the vertical line test to determine if the relation(-6,-2), (-2,6),(0,3),(3,5) is a function

## Graph those points. There is no instance where you have more than one value of y for a value of x.

Therefore it is a function.

## yes, the relation is a function because each domain value is paired with one range value. If you graph each ordered pair to check with the vertical line test, then the line will pass through

each point only once.

## Please, I need somewhat of an example of a written answer. Just to base my answer off of, PLEASE! If you do, you are legit the best person in the world to me, thank you.

...once you one see this, I would of probably already answered this question and gotten it wrong...heh.

## It is a function because Y never repeated

## Introduction to Functions: Functions Unit Test (unit 5, lesson 9)

November 14th, 2022

1. A zoo is keeping track of the weight of a baby elephant. The table shows the weight for the first, second, third, and fourth weeks. Which graph could represent the data shown in the table?

Week | Weight

1 138

2 159

3 175

4 185

C: (it kinda looks like a hill, not a straight line)

2. An ice cream shop is keeping track of its monthly sales in the fall. The table shows the number of ticket sales for the first, second, third, fourth months. Which graph could represent the table?

Month | Sales

1 1,376

2 1,045

3 912

4 850

Answer: D

3. In the diagram below, what is the relationship between the number of rectangles and the perimeter of the figure they form?

D:

# of rectangles | perimeter

1 16

2 20

3 24

4. The table below shows the relationship between the number of members in a group and the minutes each member speaks during the presentation.

Members | Minutes

2 11

3 8

4 5

5 2

Is the relationship a function that is increasing or decreasing? Is the relationship a function that is linear or nonlinear?

C: decreasing, linear

5. The ordered pairs (1,1), (2,6), (3, 81), (4, 256), and (5, 625) represent a function. What is a rule that represents this function?

C: y=x^4

6. Bananas are on sale for $0.40 a pound, and you have a coupon for $0.25 off your total purchase. Write a function rule for the cost of n pounds. How much would 30 pounds of bananas cost?

C: C(n)=0.4n-0.25; $11.75

7. Identify the mapping diagram that represents the relation and determine whether the relation is a function.

{(-2,-4), (-1,-4), (3,-4), (6,-4)}

B: the relation is a function

8. Identify the mapping diagram that represents the relation and determine whether the relation is a function.

{(-2,-5), (-1,-3), (-2,6), (5,7)}

B: This relation is not a function

9. The function b(n)=6n represents the number of light bulbs b(n) that are needed for n chandeliers. How many light bulbs are needed for 15 chandeliers?

A: 90 light bulbs

10. Tell whether the sequence is arithmetic. If it is, what is the common difference?

2, 7, 13, 20...

D: no

11. Tell whether the sequence is arithmetic. If it is, what is the common difference?

20, 11, 2, -7

B: yes, -9

12. Bamboo plants grow rapidly. A bamboo plant is 130 inches tall. Tomorrow it will be 143 inches tall, the next day it will be 156 inches tall, and on the next day it will be 169 inches tall. Write a rule to represent the height of the bamboo plant as an arithmetic sequence. How tall will the plant be in 12 days?

A: A(n)=130+(n-1)13; 273 inches

13. A magician charges $50.00 for a visit and an additional $7.50 for each hour he performs. The function rule C = 7.50h + 50.00 describes the relationship between the number of hours h and the total cost of the visit C. If the magician will only visit a maximum of 8 hours, what is a reasonable graph of the function rule?

C: {first point is (0,50), second point is (4,80), and third point is (8,110)}

14. What is the graph of the function rule?

y= |5x|-2

C: {looks like a downward point. point is at (0,-2)}

15. A triangle pattern is shown bellow. The perimeter of each figure in the pattern is shown in the table.

Figure | Perimeter

1 tri 24

2 tri 30

3 tri 36

A: P=6n+18

QUESTIOSN 16-19 HAVE YET TO BE GRADED

16. Use the vertical line test to determine if the relation {(-6,-2), (-2,6), (0,3), (3,5)} is a function. Explain your response.

Answer: The relation is a function because each domain value is paired with one range value. If your graph each ordered pair to check with the vertical line test, then the line will pass through each point once.

17. The graph shows the number of handbags that Mandy made in one day. What are the variables? Describe how they are related.

Answer: As the amount of time increases, the amount of handbags Mandy has made also increases. Time is the independent variable and the number of handbags is the dependent variable.

18. During a clothing store's Bargain Days, the regular price for T-shirts is discounted to $8.25. You have an additional coupon for $5.00 off, regardless of how many shirts are purchased

a. Write a rule for the function p(t) that expresses the finale price of t T-shirts with the discount applied.

b. How much would you pay during Bargain Day for 11 shirts?

Answer:

a. p(t)=$8.25t+$5.00

t=11

b. $8.25(11)-$5.00=$85.75

19.The table shows how much a carpenter charges for work. Is the relationship shown by the data in the table linear? Explain your answer.

Hours Worked | Amount Charged ($)

1 25

2 40

3 60

4 80

Answer: The table is not linear. The first hour worked is $25. The second hour worked is $40. It goes up $15 and then $20. It is not constant and wouldn't graph a straight line.