Functions Mid-Chapter Test Review

Functions Mid-Chapter Test Review

Functions - Words to know!

• Function: A relationship in which every input has exactly one output.

• Input: all x-values, domain, independent variable

• Output: all y-values, range, dependent variable

Functions can be represented the following ways:

• Mapping

• Graphs

• Set or List {domain & range}

• Table

• Ordered Pairs

• Equations

Multiple Choice

Which of the following is NOT another name for Input?

• Domain

• Range

• x-value

• independent variable

Multiple Choice

Which of the following is NOT another name for output?

• Range

• Dependent Variable

• y-value

• x-value

Multiple Choice

Function or Not a Function?

• Function

• Not a function

Multiple Choice

Function or Not a Function?

• Function

• Not a function

Multiple Choice

Function or Not a function?

• Function

• Not a function

Multiple Choice

Function or Not a function?

• Function

• Not a function

Multiple Choice

Function or Not a Function?

• Function

• Not a Function

Multiple Choice

Function or Not a Function?

• Function

• Not a Function

Multiple Choice

Function or Not a Function?

• Function

• Not a Function

Function Equations & Tables

Functions can also be represented by an equation (rule). The equation will generate ordered pairs by taking an input (x-value) that results in a certain output (y-value)

Multiple Choice

What is the missing value in the table if the function is y = x + 1?

• 6

• 8

• 1

• 3

Multiple Choice

What is the missing value in the table if the function is y = 4x?

• 4

• -4

• 8

• 16

Multiple Choice

What is the missing value in the table if the function is y = -3x + 2?

• 0

• 3

• -1

• 1

Slope from a Graph

• Slope is written as a fraction in simplest form

• Variable for slope: m

• Slope is written as a ratio of the rise over the run

Multiple Choice

Find the slope of the graph.

• 6

• 2/6

• -3

• 3

Multiple Choice

Find the slope of the graph.

• 1

• 0

• undefined

• -1

Multiple Choice

Find the slope of the graph.

• 4/7

• -4/7

• -7/4

• 7/4

Multiple Choice

Find the slope of the graph.

• -2

• -1/2

• 1/2

• 4

Slope Formula

Used to find the slope between any two points (x₁, y₁) and (x₂, y₂).

Multiple Choice

What is the slope of the line between points (7, 3) and (6, -2)?

• -1/2

• -1/5

• 5

• -3

Multiple Choice

What is the slope of the line between points (-7, -4) and (2, -7)?

• -3

• -1/3

• 9

• 1/3

Multiple Choice

What is the slope of the line between points (4, -9) and (4, 1)?

• 0

• undefined

Multiple Choice

What is the slope of the line between points (5, -1) and (-5, -1)?

• 0

• undefined

Slope from a Table

Given a table of values, you can pull any two coordinates from the table and plug them into the slope formula.

For example, if you use (2, 2) and

(7, -3) from the table to the right, you can plug those values in for

(x₁, y₁) and (x₂, y₂) in the slope formula...

Multiple Choice

Find the slope from the table.

• -2

• -1/2

• 19/4

• 1/2

Multiple Choice

Find the slope from the table.

• 4/5

• -4/5

• 5/4

• -5/4

Topics on your test tomorrow:

• Domain/Input & Range/Output

• Types of Function Representations (i.e. map, graph, etc.)

• Function or Not a Function?

• Function Tables & Equations

• Graphing Functions

• Finding Slope from a graph, table and coordinate pairs.

• Slope Formula & Types of Functions (positive, negative, zero & undefined)