Functions!

Miscellaneous

100

Which relationship represents causation?

D

200

A. all real numbers

B. all real numbers that are multiples of 0.05

C. all whole numbers

D. all whole numbers from 0 to 20

C

300

Which TWO points represent solutions to the equation?

A. (-3,30)

B. (-1, -5/3)

C. (0, -5/2)

D. (3,5)

E. (5, 10/3)

B and C

400

Which coordinate(s) would be found on the graph of the line y=-3x+2? Select ALL that apply.

A. (-2,8)

B. (-1,1)

C. (0,-2)

D. (1,-1)

E. (2,4)

A and D

500

The sequence shows the total number of days Breanna used her gym membership at the the end of months 1,2,3, and 4

           8, 13, 18, 23, ...

Assuming the pattern continues, which function could be used to find the total number of days Breanna used her gym membership at the end of month n?

A. f(n) = n⁵

B. f(n) = n + 5

C. f(n) = 5n - 3

D. f(n) = 5n + 3

D

1000

What are the first five terms in the arithmetic sequence with the recursive formula below?

B

Is it a Function?

100

Which of these relations represent functions?

Relations 2 and 4

200

Which of the following numbers could be placed in the empty cell and still have a function?

a. -16, -12, 0, 19

b. -12, 0, 20, 43

c. -16, -8, 19, 47

d. -16, 20, 43, 47

b

300

Does the relationship between P and x describe a function? Explain why or why not.

a. No. There is only 1 value of P for each value of x

b. No. There is more than 1 value of P for each value of x

c. Yes. There is only 1 value of P for each value of x

d. Yes. There is more than 1 value of P for each value of x

C

400

The table shows the inputs and outputs for the function f(x) = -7x - 5

When the output is -5, what is the output?

30

500

Which point can you remove from this graph to make it a function?

(-1,-1) or (-1,3)

1000

Does this graph represent a function? Why or why not?

Yes because each input only has one output (it passes the vertical line test)

Writing and Interpreting Functions

100

Mia, Justin, Brendan, and Karen

200

P(20) would represent the profit earned based on 

A. 5 days of operating the train

B. 5 passengers riding on the train

C. 20 days of operating the train

D. 20 passengers riding on the train 

and 

What would be the profit if x was 20?

D and $5

300

Miranda cuts grass (g) for $20 an hour and trims hedges (h) for $25 an hour. She is trying to make enough money during the summer to buy a car for $4200. Which inequality represents the number of hours Miranda needs to cut grass and trim hedges?

A. 

25g + 20h >= 4200

B.

25g + 20h <= 4200

C.

20g + 25h <= 4200

D. 

20g + 24h >= 4200

D

400

A. 450 = m + n

B. 450 + m = n

C. 450m = n

D. 450 = mn

D

500

A. m = 532 - 57h

B. m = 532 + 57h

C. m = 532h - 57

D. m = 532h + 57

A

1000

At the start of the year the balance in a married couple's account is $1,750. They decide to each deposit $35 into the account each month.

Which function represents the amount in the account n months after the beginning of the year?

Key Features of Graphs

100

Which term BEST describes this function?

A. constant

B. decreasing

C. increasing

D. symmetric

C

200

Match each coordinate to the correct part of the graph. Answers may be used more than once or not at all.

A. x-intercept                               1. (-3,0)

B. y-intercept                               2. (-5,0)

                                                   3. (0,-5)

                                                   4. (0,-3)

A - 2

B - 4

300

Which TWO values are included in the domain?

A. -4.5

B. -1

C. 0

D. 1.5

E. 5

A and C

400

What is the domain of the function?

A. all real numbers

B. all real numbers where

-3<=x<=5

C. all real numbers where

-2<=x<=4

D. all real numbers where 

-1<=x<=4

B

500

C

1000

Consider the equation of the linear function 4x - 12y = 24. Which x- and y-intercepts and graph best represent the function?

B

Lines of Best Fit and Correlation Coefficients

100

Which scenario represents a POSITIVE correlation AND causation?

A. As the hours increase, the number of tables seated at a restaurant decreases.

B. As the number of milkshakes ordered increases, the score of the basketball game increases.

C. As the temperature decreases, the number of sleds purchased increases.

D. As the attendance to a concert increases, the total ticket sales increases.

D

200

The graph shows the total number of library members at the end of every month for the year 2016.

The equation for the line of best fit is y=4x+14 where y is the total number of library members after x months from the beginning of 2016. Which statement interprets the slope of the line-of-best-fit correctly?

A. the rate of change is 1 new registration every 4 months

B. the rate of change is 4 new registrations every 4 months

C. the rate of change is 4 new registrations every month

D. the rate of change is 14 new registrations every month.

C

300

The data in a linear model have a correlation coefficient of -0.92. What can be concluded regarding the data?

A. the data have a weak nonlinear association

B. the data have a strong nonlinear association

C. the data have a negative linear association

D. the data have a positive linear association

C

400

Arrange the list of values in order from WEAKEST correlation (at the top) to the STRONGEST correlation at the bottom.

K, M, J, L

500

USE THE TI-84 on your chromebook to calculate the correlation coefficient for this table of data.

Which value represents the correlation coefficient of this data set?

A. 0.18

B. 0.32

C. 0.43

D. 0.99

C

1000

Which best describes the relationship between correlation and causation?

A. a positive correlation between two variables always implies that a change in one variable causes a change in the other variable

B. a negative correlation between two variables always implies that a change in one variable does not cause a change in the other variable

C. a correlation between two variables does not always imply that a change in one variable causes a change in the other variable

D. there is no relationship between correlation and causation

C

Average Rate of Change

100

What is the average rate of change of the function from x=1 to x=3?

A. 10

B. 12.5

C. 15

D. 30

C

200

What is the average rate of change of the rainfall from Week 3 to Week 7?

A. 0.2775 inches per week

B. 1.11 inches per week

C. 1.8875 inches per week

D. 3.775 inches per week

A

300

An equation representing the cost of renting a truck each day is 40 + 25d = T. Let d represent the day the truck is rented and let T represent the total cost of renting the truck.

Use the equation to match the questions (Letters) to their answers (Numbers):

A. What does the 25 represent in the equation?  

B. What does the 40 represent in the equation

   1. the number of days the truck was rented

   2. the initial cost of renting the truck

   3. the daily rate of renting the truck

   4. the hourly rate of renting the truck

A - 3

B - 2

400

A boat company charges a cost per hour and a cleaning fee in order to rent a boat. Miranda rented a boat for 4 hours and paid $310. Harold rented a boat for 2 hours from the same company and paid $170. 

How much does the boat company charge for the cleaning fee?

A. $30.00

B. $70.00

C. $77.50

D. $85.00

B

500

The table shows the cost of a gymnastics membership based on the number of months, n, enrolled.

Which function represents the cost of the gymnastic membership for n months?

A. C(n) = 45n + 185

B. C(n) = 45n + 230

C. C(n) = 185n + 45

D. C(n) = 230 + 45n

C

1000

Dominic drives a taxi. He charges a $2 flat fee plus a rate per mile. This table represents f(x), a function that can be used to predict the total cost of any trip in Dominic's taxi.

What is the rate of change and what does it represent?

A. 2 and it represents the flat fee

B. 1.5 and it represents the rate per mile

C. 1.5 and it represents the flat fee

D. 2 and it represents the rate per mile

B