Chapter 4 Review

Dropdown

Range is all of the ​

Select answer

values.If you need help look at slide #4

Dropdown

Domain is all of the ​ ​

Select answer

values.If you need help look at slide #4

Function Notation

A concise way of substituting specific values for x

Written: f(x)

Read: "f of x"

Think of a function like a machine ...

• Substitute "in" value for x (or other variable)

• Calculate "out" value using Order of Operations

• This example is showing f(x)=5x + 1

• This is read f (of x) = 5x plus 1

• So, with function notation, the y is replaced with f(x).

Example 1

Here, we're told that our rule is

f(x) = -2x +4 and that x is equal to -3.

When we input -3 into our equation, we get an output of 10.

Make sure you are using FUNCTION NOTATION. f(-3) = 10. This is read f of -3 equal 10.

Math Response

Find f(x) if x=-2.

Type answer here

Correct Answer: 9

Deg^°

Rad

Math Response

Solve for the function.

$$g\left(x\right)=4x-10$$

when $$g\left(2\right)$$ .

Type answer here

Correct Answer: -2

Deg^°

Rad

Multiple Choice

• 16

• 48

• -28

• 4

Math Response

Solve for the function.

$$h\left(x\right)=-13+x^2+x$$

when $$h\left(3\right)$$ .

Type answer here

Correct Answer: -1

Deg^°

Rad

Linear vs. Nonlinear

Functions

​Identify linear and nonlinear functions from graphs.

Multiple Choice

Is the graph linear or nonlinear?

• Linear

• Nonlinear

Multiple Choice

Is the graph linear or nonlinear?

• Linear

• Nonlinear

Multiple Choice

Is this table showing a linear or nonlinear function?

• Linear, the slope is constant

• Nonlinear, the slope is not constant

Multiple Choice

Is this table showing a linear or nonlinear function?

• Linear, the slope is constant

• Nonlinear, the slope is not constant

Linear Functions...

• are represented by equations that do not have exponents, no absolute value signs, and variables in the numerator.

Nonlinear Functions...

• are represented by equations that have exponents, absolute value symbols, and fractions with variables in the denominator.

Multiple Choice

Which equation is a LINEAR function?

• $$y=3x^2-1$$  

• $$y=2x+6$$  

• $$y=\left|x\right|-4$$  

• $$y=\frac{1}{5}x^3$$  

Multiple Choice

Which equation is a NONLINEAR function?

• $$y=3x^2-1$$  

• $$y=2x+6$$  

• $$y=-x-4$$  

• $$y=\frac{1}{5}x^{ }$$  

Steps to graphing a function:

Fill in the Blanks

Graphing

Drag the two points to create the graph of the function from the previous slide:

$$y=x^2+2$$

Poll

Choose the answer that best describes how you feel about this chapter.

• I like this chapter, and I think I've got it.

• I have no idea how to do any of this and I need help.

• I'm not sure how to make a table and graph.

• I don't understand how to put a number in for x in an equation and get an answer.