Exploring Functions and Their Graphs

What does a function do with an input?

• It ignores the input.

• It processes the input to produce a single output.

• It produces multiple outputs.

• It always squares the input.

What is the output of f(2) if f(x) = x^2 for even x and f(x) = x + 5 for odd x?

• 4

• 7

• 9

• 2

What is the output of f(3) if f(x) = x^2 for even x and f(x) = x + 5 for odd x?

• 9

• 6

• 8

• 3

What is the next largest number starting with the same letter as 2 in the function h(a)?

• 6

• 4

• 3

• 5

What is the next largest number starting with the same letter as 8 in the function h(a)?

• 9

• 12

• 10

• 11

What is the function notation for y = x + 1?

• f(x) = x + 1

• f(x) = x - 1

• f(x) = x / 2

• f(x) = x^2

What is the output of f(0) if f(x) = x + 1?

• 2

• 1

• 3

• 0

What is the output of f(2) if f(x) = x + 1?

• 5

• 4

• 3

• 2

Why is the relationship x^2 + y^2 = 4 not a function?

• It only works for positive numbers.

• It produces multiple outputs for a single input.

• It produces no output.

• It is not a valid equation.

What are the possible y-values when x = 1 in the equation x^2 + y^2 = 4?

• 4 and -4

• sqrt(3) and -sqrt(3)

• 2 and -2

• 1 and -1