
FUNCTIONS RETAKE REVIEW
Presentation
•
Mathematics
•
8th Grade
•
Medium
+8
Standards-aligned
Ruth Cepeda
Used 4+ times
FREE Resource
4 Slides • 22 Questions
1
Must pass the vertical line test
From a graph
The equation can be written as y= mx+b
The exponent on x must be 1.
FROM AN EQUATION
Identifying Functions
Some text here about the topic of discussion
2
Draw
Does this relation define a function?
3
A table represents a function when each input has exactly one output. (the x-value does not repeat)
From a table
A relation is a function when the x-values (input) are all different.
From a relation
I can Identify a function
Some text here about the topic of discussion
4
Multiple Select
Select all of the relations that represent a function.
{(1,−3)(4,−5) (2, 2)(1, 9)}
{(3, 3), (4, 4), (5, 5), (6, 6)}
{(1, −2) (−3, 4) (−1, 8) (−3, 2)}
{(3,2)(−8, 2) (−10, 2)(5, 2)}
5
The slope is also called the rate of change.
Slope and Y-intercept from an equation.
Find where your input (x) is equal to zero. Sometimes you may have to calculate it. Y-intercept is (0,5). The slope/rate of change is 5/1 or 5.
Y-intercept and slope from a table
The y intercept is where the line crosses the y-axis. The slope is calculate by rise/run.
Y intercept and slope from a graph.
6
Draw
Circle the y intercept. Write it as an ordered pair.
7
Multiple Choice
What is the y-intercept of this equation?
(0,6)
(6,0)
(0,3)
(3,0)
8
Open Ended
Write the equation for the following verbal equation:
The variable y is 2 more than 4 times x.
9
Multiple Choice
What is the y-intercept for the equation:
y is 2 more than 4 times x.
(0,2)
(0,4)
(4,2)
(2,4)
10
Multiple Choice
Compare the last two functions- the graph to the left and function B:
the equation y is 2 more than 4 times x.
Describe their y-intercepts.
The y intercept of function A is twice the y intercept of function b
The y intercept of function A is the same as the y intercept of function b
The y intercept of function A is one less than the y intercept of function b
The y intercept of function A is one more than the y intercept of function b
11
The equation can be written in y=mx+b and the exponent on the variable must be 1.
Linear function from an equation.
A table represents a linear function when the input is changing by the same amount and the output is changing by the same amount. We call this constant rate of change.
Linear from a table
The graph is a straight line.
Linear from a graph.
12
Multiple Choice
Which of the following equations does not represent a linear relationship between x and y?
y=4x
y=2x2 +5x
5x=3(y−2)
6x−7y=13
13
Multiple Choice
Bacteria grow in colonies over time. Which table shows growth of bacteria colonies that can be modeled by a linear graph?
14
Open Ended
Does the following scenario represent a function? Why or why not?
The total cost of a large pizza based on $9.95 plus $0.75 for each additional topping.
15
Open Ended
Does the following scenario represent a function? Why or why not?
The ant population for a colony that begins with 5 ants and doubles in number every two weeks.
16
Open Ended
Does the following scenario represent a function? Why or why not?
The amount of gasoline in a vehicle that begins with 22 gallons and decreases by one gallon every 28 miles.
17
Open Ended
Does the following scenario represent a function? Why or why not?
A history student's grade on a test that begins at 100 but decreases by 4 points for each question answered incorrectly.
18
Draw
Arya runs a landscaping business. She charges based on the equation y= 15x + 30. Fill in the table for Arya.
19
Draw
Cody also runs a landscaping business. What is Cody's initial value and rate of change? What does Cody charge per hour?
20
Multiple Choice
Looking at Cody and Arya, who charges more per hour?
Cody charges $5 more per hour
Arya charges $5 more per hour
They charge the same amount.
Aria charges $10 less per hour.
21
Fill in the Blanks
Type answer...
22
Draw
When the input of this function is 4, what is the output
23
Multiple Choice
A function is given by the equation axb+c where a, b and c are constants. What values of a, b and c make this function linear?
a=1, b=2, c=0
a= 4, b= -1, c=2
a= -1, b=1, c= 4
a= 4, b=-2, c=-2
24
Draw
Find the rate of change of each function.
25
Open Ended
The rate of change of function 2 is ____ times greater than function 1.
26
Reorder
Reorder the following from least to greatest
Must pass the vertical line test
From a graph
The equation can be written as y= mx+b
The exponent on x must be 1.
FROM AN EQUATION
Identifying Functions
Some text here about the topic of discussion
Show answer
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