Functions Definitions

Given the definitions of f(x) and g(x) below, find the value of g(f(-2)).

f(x) = 4x + 4

g(x) = x² - 4x - 6

Evaluate g(f(-6))

Evaluate g(f(-1))

Evaluate f(g(2)).

Is the relation a function? Why.

• Yes, because the x-value 11 has two y-values pair with it.

• Yes, because each x-value has only one y-value paired with it.

• No, because the x-value 11 has two y-values pair with it.

• No, because each x-value has only one y-value paired with it.

What is the definition of function?

• Has inputs and outputs

• Every input has only ONE output

• Inputs have different outputs every time

• x-values and y-values

What is the definition of function?

• Has inputs and outputs

• Every input has only ONE output

• Inputs have different outputs every time

• x-values and y-values

The following mapping is​ (a)   because ​ ​ (b)   .

• a function

• each input maps to exactly one output.

• not a function

• both a function and one-to-one

• each output maps to exactly one input

• neither the x's or y's repeat

The following mapping is​ ​ (a)   because ​ ​​ ​ (b)   .

• both a function and one-to-one

• neither the x's or y's repeat

• not a function

• each output maps to exactly one input

• a function

• each input maps to exactly one output.

The following mapping is​ ​ (a)   ​ because ​ ​​ ​ ​ (b)   .

• not a function

• an input maps to more than one output

• each output maps to exactly one input

• a function

• each input maps to exactly one output.

• both a function and one-to-one