Function Identification
Create a Function
Math with Functions
Slope & Factoring
Compositions
100

Is this a function? 

No

100

Write a function for the following problem: 

Lisa works at a factory and gets paid $18 per hour. Write a function that shows the relationship between her total pay, y, in x hours. 

y = 18x

100

What is

f(x) + g(x)?

f(x) = 3x+2

g(x) = 2x+17

f(x) + g(x) = 5x+19

100

What is the slope of the following equation? 

y = -2/3x+17

-2/3

100

What is 

f(g(x))?

f(x) = 3x+5,  g(x) = 4x

f(g(x)) = 12x+5

200

Look at the table below. Does it show a function? 

Yes

200

Write a function for the following problem: 

A taxi company charges $20 to use a taxi and an additional $0.50 per mile that the taxi drives. Write a function that describes the relationship between the total price of a taxi, y, and the number of miles driven, x. 

y = 0.5x+20

200

What is

(f-g)(x)?

f(x) = x^2-3x, g(x) = -6x+2 

(f-g)(x) = x^2+3x-2

200

What is the slope of a linear equation that has the following two coordinates on its line? 

(3, 2) and (4, 7)

Slope = 5

200

What is 

f(g(x))?

f(x) = x^2+2, g(x) = x^2

f(g(x)) = x^4+2

300

Do the following sets of ordered pairs show a function? 

Yes

300

What is the function for the following table? 

y = 2x+7

300

What is 

(f*g)(x)?

f(x) = x+3, g(x) = x+7

(f*g)(x) = x^2+10x+21

300

What is the equation of a straight line with the points (1, 9) and (3, 21)? 

y = 6x+3

300

What is 

f(g(x))?

f(x) = x^2, g(x) = x+4

f(g(x))= x^2+8x+16

400

Does the following graph show a function? 

No

400

What is the function to describe the following table? 

y = -2x+3

400

What is 

(f*g)(x)?

f(x) = x^2+3, g(x) = 2x+7

(f*g)(x) = 2x^3+7x^2+6x+21

400

Factor the following quadratic function:

f(x) = x^2 - 14x+24

 


f(x) = (x-2)(x-12)

400

What is 

r(s(x))? 

r(x) = -3x, s(x) = 2x^2+5x+5

r(s(x))= -6x^2-15x-15

500

Which of the graphs below shows a function? (Left or Right)

Left

500

Write a function for the following problem.

A pool starts with 400 gallons of water and is draining at a rate of 2 gallons per minute. Write a function that shows the relationship between the amount of water left in the pool, y, and the number of minutes the pool has been draining, x. 

y = 400-2x

500

What is 

(f/g)(x)?

f(x) = x^2-7x+12, g(x) = x-4

(f/g)(x) = x-3

500

What are the solutions to the following quadratic equation? 

(Answer should be x = ?)

x^2-2x=15

x = 5, -3

500

What is 

s(r(x))?

r(x) = -3x, s(x) = 2x^2+5x+5

s(r(x)) = 18x^2-15x+5

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