NEW
Font size
WorksheetsMore Functions Review # 2
Total questions: 56
Worksheet time: 28mins
Write the function rule to represent the total cost, c, of PLAN A for m, months.
c = 260m + 70
c = 260+70m
m = 70c + 260
m = 70 + 260c
Write the function rule to represent the total cost, c, of PLAN B for m, months.
c = 82m
c = 82m + 1
m = 82c
m = 82c + 1
If Jacy plans to keep the phone for 24 months, which plan is cheaper?
THE NEXT SLIDE WILL SHOW YOU THE WORK!
Plan A
Plan B
They are the same
Here is the work shown for the previous question.
👍
👎
Which plan has a proportional relationship? and Why?
Plan A because the phone cost $260
c = 70m + 260
Plan B because you get the phone for free
c = 82m
Neither of them
Both of them
Q.2A Find the slope for this relationship.
1/3
3
-3
-1/3
Q.2B Find the y-intercept.
14
17
3
8
Q.2C Write an equation in slope intercept form that represents this relationship.
3x+8
8x+3
y=3x+8
y=8x+43
A
B
C
D
10
15
-5
5
Reminder: A relation is a FUNCTION when each x-value has one and only one y-value.
Look to see if x repeats with a different y value.
A
B
C
D
Q. 6 - State the domain of this relation.
{1,2,5,7,3}
{9,7,4,12,9}
{1,2,5,7,3,9}
{9,7,4,12}
Q. 6 - State the range of this relation.
{1,2,5,7,3}
{9,7,4,12,9}
{1,2,5,7,3,9}
{9,7,4,12}
Set A is a function and set B is not because for set A, each input has one and only one output.
Set B is a function and set A is not because for set B, each input has one and only one output.
Neither of them is a function.
Both of them are functions because for both each x-value has one and only one y-value.
Which has the SMALLEST rate of change(slope)?
A
B
C
D
9A. Is this relation a function?
Yes because each x-value has one and only one y-value.
No because there is an x-value repeated with 2 different y-values.
Yes because each y-value has one and only one y-value.
No because there is an y-value repeated with 2 different y-values.
9B. Is this relation a function?
Yes because each x-value has one and only one y-value.
No because there is an x-value repeated with 2 different y-values.
Yes because each y-value has one and only one y-value.
No because there is an y-value repeated with 2 different y-values.
9C. Is this relation a function?
Yes because each x-value has one and only one y-value.
No because there is an x-value repeated with 2 different y-values.
Yes because each y-value has one and only one y-value.
No because there is an y-value repeated with 2 different y-values.
10. Function or not a function?
Function because it passes the vertical line test.
Function because it fails the vertical line test.
Not a Function because it passes the vertical line test.
Not a Function because it fails the vertical line test.
11. Function or not a function?
Function because it passes the vertical line test.
Function because it fails the vertical line test.
Not a Function because it passes the vertical line test.
Not a Function because it fails the vertical line test.
12. Function or not a function?
Function because it passes the vertical line test.
Function because it fails the vertical line test.
Not a Function because it passes the vertical line test.
Not a Function because it fails the vertical line test.
13A.
Reminder: To be a LINEAR function, an equation needs to be able to be in y=mx+b form.
Linear because it is in y = mx + b form
NonLinear because it is in y = mx + b form
Linear because it is NOT in y = mx + b form
NonLinear because it is NOT in y = mx + b form
13B.
Reminder: To be a LINEAR function, an equation needs to be able to be in y=mx+b form.
Linear because it is in y = mx + b form
NonLinear because it is in y = mx + b form
Linear because it is NOT in y = mx + b form
NonLinear because it is NOT in y = mx + b form
13C.
Reminder: To be a LINEAR function, an equation needs to be able to be in y=mx+b form.
Linear because it is in y = mx + b form
NonLinear because it is in y = mx + b form
Linear because it is NOT in y = mx + b form
NonLinear because it is NOT in y = mx + b form
14a. Write an equation for the temperature, T, at n hours after noon.
T = 3n - 30
T = 27 - 3n
T= 30 - 3n
T = 27n
14B
What is the y-intercept of the line the equation represents. What does the y-intercept tell us about the problem?
30
The temperature is increasing by 30 degrees per hour
3
The temperature is decreasing by 3 degrees per hour
-3
The temperature is decreasing by 3 degrees per hour
30
The starting temperature is 30 degrees
14C
What is the slope of the line? What does the slope tell us about the situation?
30
The temperature is increasing by 30 degrees per hour
3
The temperature is decreasing by 3 degrees per hour
-3
The temperature is decreasing by 3 degrees per hour
30
The starting temperature is 30 degrees
15
Part A...Explain why the relationship between the number of people and cost is LINEAR for both tables.
A
Both tables have a constant rate of change which makes them both linear.
B
Rollaway skates is linear because the cost increases by $5 per person
C
Wheelie's Skates and Stuff is linear because the cost increases by $3 per person
A, B & C
15
Part B...Write an equation for the cost and number of people in slope-intercept form for
ROLLAWAY SKATES
y = 5x
y = 5x + 10
y = 5x + 5
y = 5
15
Part B...Write an equation for the cost and number of people in slope-intercept form for
WHEELIE'S SKATES AND STUFF
y = 100x
y = 3x
y = 3x + 100
y = 100
15
Part C...Which company has a proportional relationship and why?
Rollaway Skates
because 0 people costs $0
Rollaway Skates
because for each person you pay $5.
Wheelie's skates & stuff
because 0 people costs $100
Wheelie's skates & stuff because for each person you pay $3.
Take a moment to check your work for question 15
👍
👎
Complete Question 15 and click to the next slide to check your work....
👍
👎
How did you do?
😁
😬
🤪
😩
Susie said the relation is a FUNCTION. Do you think Susie is correct? Explain why or why not.
A
Susie is correct because each x - value has one and only one y-value.
B
Susie is correct because the x - values do not repeat.
Both A and B
Susie is not correct because there is an x-value with 2 different y-values.
State the DOMAIN.
{-4,-2,0,2,4,6}
{16,4,0,4,16,36}
{16,4,0,36}
{2,4,6}
State the RANGE.
{-4,-2,0,2,4,6}
{16,4,0,4,16,36}
{16,4,0,36}
{2,4,6}
Jimmy said the relation is a LINEAR FUNCTION. Do you think he is correct? Explain why or why not.
Jimmy is correct because there is a constant rate of change.
Jimmy is correct because y decreases by 4 while x increases by 2.
Jimmy is incorrect because there is not a constant rate of change.
Jimmy is incorrect because the table is wrong.
Take a moment to check your work for question 16.
🙌
🥴
Linear or Nonlinear
A
Linear because as y decreases by 2, x increases by 3.
B
Linear because there is a constant rate of change.
Both A and B
NonLinear because there isn't a constant rate of change,
Linear or Nonlinear
A
Linear because as y decreases by 3, x increases by 1.
B
Linear because there is a constant rate of change.
Both A and B
NonLinear because there isn't a constant rate of change,
Linear or Nonlinear
A
Linear because as y increases by 15, x increases by 5.
B
Linear because there is a constant rate of change.
Both A and B
NonLinear because there isn't a constant rate of change,
Function or Not a Function
A
Function
because each x-value has one and only one y-value
B
Function
because x doesn't repeat with a different y.
Both A and B
Not a Function because there is an x-value with more than one y-value.
Function or Not a Function
A
Function
because each x-value has one and only one y-value
B
Function
because x doesn't repeat with a different y.
Both A and B
Not a Function because there is an x-value with more than one y-value.
X repeats
Function or Not a Function
A
Function
because each x-value has one and only one y-value
B
Function
because x doesn't repeat with a different y.
Both A and B
Not a Function because there is an x-value with more than one y-value.
X repeats
Function or Not a Function
A
Function
because each x-value has one and only one y-value
B
Function
because x doesn't repeat with a different y.
Both A and B
Not a Function because there is an x-value with more than one y-value.
X repeats
Function or Not a Function
A
Function
because each x-value has one and only one y-value
B
Function
because x doesn't repeat with a different y.
Both A and B
Not a Function because there is an x-value with more than one y-value.
X repeats
Function or Not a Function
A
Function
because each x-value has one and only one y-value
B
Function
because x doesn't repeat with a different y.
Both A and B
Not a Function because there is an x-value with more than one y-value.
X repeats
Function or Not a Function
A
Function
because each x-value has one and only one y-value
B
Function
because the graph passes the vertical line test
Both A and B
Not a Function because the graph fails the vertical line test
Function or Not a Function
A
Function
because each x-value has one and only one y-value
B
Function
because the graph passes the vertical line test
Both A and B
Not a Function because the graph fails the vertical line test
21. What is the slope of the line.
2
-2
1/2
-1/2
22. What is the slope of the line.
A
1
B
-1
C
-2/2
Both B & C
23. What is the slope of the line.
5/4
1
-1
-5/4
slope = -1
y-intercept = -9
y = -x - 9
slope = 1
y-intercept = -9
y = x - 9
slope = -1/2
y-intercept = -9
y = -1/2x - 9
slope = 1/2
y-intercept = -9
y = 1/2x - 9
slope = 5/4
y-intercept = -.5
y = 5/4x - .5
slope = -5/4
y-intercept = .5
y = -5/4x + .5
slope = 4/5
y-intercept = .5
y = 4/5x +.5
slope = -4/5
y-intercept = -.5
y = -4/5x - .5
slope = 1
y-intercept = 5
y = x + 5
slope = -1
y-intercept = 5
y = -x + 5
slope = 1
y-intercept = -4
y = x - 4
slope = -1
y-intercept = -4
y = -x - 4
