Evaluating Functions and Function Notation

What is function notation primarily used for?

• To solve equations

• To find the domain of functions

• To graph functions

• To name functions uniquely

In the function notation f(x) = 4x - 1, what does f(x) represent?

• The slope

• The output

• The y-intercept

• The input

If f(x) = 4x - 1, what is f(-7)?

• -29

• 29

• -28

• 28

For the function f(x) = x + 7, what is f(5)?

• 7

• 12

• 5

• 10

If f(x) = 4x + 11, what is f(c + 7)?

• 4c + 18

• 4c + 28

• 4c + 11

• 4c + 39

What is the purpose of using different letters like f, g, and h in function notation?

• To confuse students

• To distinguish between different functions

• To simplify equations

• To represent different variables

For the function g(x) = x^2 + 2x, what is g(4)?

• 8

• 20

• 24

• 16

For the function g(x) = x^2 + 2x, what is g(-1)?

• 1

• -1

• -2

• 0

On a graph, if f(-3) = 2, what are the coordinates of the point?

• (3, 2)

• (2, -3)

• (-3, 2)

• (-3, -2)

If the graph of f(x) passes through the point (0, 5), what is f(0)?

• -5

• 0

• 1

• 5