My Math Chapter 3 Lesson 5

Unit 3, 4, &5

Functions, Linear Functions, & Systems

Unit 3

What is a function?

Is it a function?

What is it's domain & Range?

Multiple Choice

• Function

• Not a Function

Multiple Choice

• Function

• Not a Function

Multiple Choice

Which mapping diagram is not a function?

Multiple Choice

Which set of ordered pairs is not a function?

• (1, 3), (2, 7), (3, 8), (4, 11)

• (2, 3), (4, 9), (3, 8), (4, 15)

• (1, 2), (3, 5), (6, 9), (7, 11)

• (-9, 4), (-6, 3), (-2, 8), (0, 21)

Multiple Choice

Which table represents a function?

Multiple Choice

What is the range of the function graphed in the image? HINT: range is y values. open circle no equal sign, closed circle gets the equal sign.

• {x | -2 ≤ x < 4}

• {x | -2 < x ≤ 4}

• {y | -3 < y ≤ 3}

• {y | -3 ≤ y < 3}

Multiple Choice

A student rode a bike from school to a recreation center. The graph shows the student's distance in miles from the recreation center after riding the bike for x minutes. What is the range of the function for this situation? HINT: what are the smallest and biggest y values the line touches?

• All real numbers greater than or equal to 0 and less than or equal to 28.

• All real numbers greater than or equal to 0 and less than or equal to 9.

• All real numbers less than or equal to 28.

• All real numbers less than or equal to 9.

Multiple Choice

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

• D: {1, -3, -4,} R: {0, 1, 2, -4}

• D: {-4, 0, 1, 2} R:{-4, -3, 1}

• D: {0, 1, 2, 3, 4} R:{1, -3, -4}

• D: {0, 1, 2, -4} R: {1, -3, -4, 1}

System of Equations

What is a system of equations?

What is the solution to the system of equations?

What type of solutions can you have?

Match

Match the following

infinite solutions

one solution

no solutions

• infinite solutions

• one solution

• no solutions

Multiple Choice

What is the solution to the system?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)

Multiple Choice

What is the solution to this system of equations? Solve by substitution or graphing.

• (7, -8)

• (-7, 8)

• (-7, -8)

• (7, 8)

Match

Match the solution to the system of equations.

(-2, -1)

(2, -1)

(1, 4)

(4, -1)

• (-2, -1)

• (2, -1)

• (1, 4)

• (4, -1)

Multiple Choice

The graph of f(x) and g(x) are shown below. How many solutions does the system of equations have?

• One

• Two

• Three

• Four

• No Solution

Multiple Select

What are the solutions to the system of equations graphed below?

• (2, 0)

• (0, 4)

• (-2,0)

• (0, -4)

• No Solution

Multiple Choice

Determine the number of solutions to the given linear-quadratic system.

• 0 solutions

• 1 solution

• 2 solutions

• 3 solutions

Multiple Select

Which ordered pairs are solutions to the system of equations shown on the graph below? Select all that apply.

• (-3,1)

• (-3,5)

• (0,-1)

• (1,-4)

Multiple Choice

What is the domain of the function? HINT: what letter is being used for x?

• 0<h<80

• 0≤h≤80

• 0≤t≤4.5

• 0<t<4.5

How to Find Average Rate of Change

Know how to find average rate of chage given table, graph, and function

Multiple Choice

What is Mrs. Gordon's rate from 0 to 2 seconds?

• 2.5 feet per second

• .4 feet per second

• 5 feet per second

• .2 feet per second

Multiple Choice

Find the average rate of change over the given interval. 

• 4

• 7

• 7/3

• 3/7

Multiple Choice

What is the average rate of change of [1, 5]?

• -0.65

• -0.75

• 3.75

• 4

Multiple Choice

What is the average rate of change from x=0 to x=1

• -3

• 3

• 0

• 2

Multiple Choice

The table below shows the snowfall in a north-eastern city in inches for the first week in January.

Find the average rate of change in the number of inches of snowfall from January 8 to January 11.

• 2/3 in.

• 2 in.

• 3 in.

• 6 in.

Multiple Choice

f(x) = 2x² + 12x + 16
What is the average rate of change of f(x) on the interval [-3, -2].

• 2

• 1/2

• -2

• -1/2