Function Jeopardy

Function Notation

100

What does f(5) represent?

The value of the function f when x = 5

200

In the expression f(3) = 12, what is the input and what is the output?

Input: 3, Output: 12

300

Rewrite the equation y = 3x + 2 in function notation.

f(x) = 3x + 2

400

If f(x) = 3x + 1, write the notation for “the function evaluated at 10" or x = 10

f(10)

500

The function shows k(√5) = 20. 

Identify the input and output

Input: √5, Output: 20

Evaluating Functions

100

Evaluate f(2)

 f(x) = x + 4

6

200

Evaluate g(-2)

 g(x) = 3x - 1

-7

300

Evaluate h(5)

h(x) = x² + 1

26

400

Evaluate f(a)

f(x) = 12x + 23

12a + 23

500

 k(x) = x² – 4x + 7, find k(3).

4

Adding Functions

100

If f(x) = x and g(x) = 2x, 

find (f + g)(x)

3x

200

If f(x) = x² and g(x) = 5x, 

write (f + g)(x)

x² + 5x

300

If f(x) = 2x + 3 and g(x) = x – 5, 

what's (f + g)(x).

3x - 2

400

If f(x) = 4x - 7 and g(x) = 6x + 5, 

what's (f + g)(x).

10x - 2

500

If h(x) = -3x + 9 and k(x) = x² + x - 2, 

what's (h + k)(x).

x² - 2x + 7

Subtracting Functions

100

If f(x) = x + 2 and g(x) = x, 

find (f – g)(x)

2

200

 If f(x) = x² and g(x) = 2x, 

write (f – g)(x)

x² – 2x

300

If f(x) = 8x + 2 and g(x) = 2x - 8 

find (f – g)(x)

6x + 10

400

f(x) = 4x – 7 and g(x) = –x + 5 

find (f – g)(x)

5x - 12

500

If f(x) = x² - 7x + 4 and g(x) = 2x + 2  , 

find (f – g)(x)

x² - 9x + 2