Ch2 Algebra and functions

Question 1

What is a one to one function and give an example?

Answer 1

Each input has a unique output. (Y=X)

Question 2

What is a many to one function and give an example?

Answer 2

Many inputs can have the same output. (X^2)

Question 3

What is a one-to-many function?

Answer 3

There are inputs that are mapped to more than one output. y^2=x^2

Question 4

What is not a function?

Why is this

Answer 4

One-to-many

Question 5

What is the domain?

Answer 5

-all possible x values

Question 6

What is the range?

Answer 6

-Set of possible Y values.

Question 7

What is a composite function.

Answer 7

-When two functions are combined to make one function.

Question 8

How would you solve fg(x)

Answer 8

Sub g(x) into f(x)

Question 9

What does a function mean if it is |f(x)|.

What does this mean graphically?

Answer 9

• It is the non-negative value of the entire function.

- Function will always be on or above the x axis.

Question 10

What does a function mean if it is f(|x|)

What does this mean graphically.

Answer 10

All positive x values are translated in the y axis.

Question 11

How to deal with composite functions like pfg(x)

Answer 11

sub backwards