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Unit 4 Test Review!
By Chris Long
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50 questions
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1
Graph the function with the given domain. Then identify the range and determine if the function is discrete or continuous.
Question 1
1.
y = 2x - 3, Domain: {x: -2
<
x
<
2}
Graph it!
We have released a new and improved Graphing question type! Students will no longer be able to answer this question.
Question 2
2.
y = 2x - 3, Domain: {x: -2
<
x
<
2}
Range? Write your answer using Set Builder Notation.
Question 3
3.
y = 2x - 3, Domain: {x: -2
<
x
<
2}
Discrete or continuous?
Discrete
Continuous
Question 4
4.
2x + y = 1, Domain: {x: x > -1}
Graph it!
We have released a new and improved Graphing question type! Students will no longer be able to answer this question.
Question 5
5.
2x + y = 1, Domain: {x: x > -1}
Range? Write your answer using Set Builder Notation.
Question 6
6.
2x + y = 1, Domain: {x: x > -1}
Discrete or continuous?
Discrete
Continuous
Question 7
7.
y = -x + 2, Domain: {-4, -2, 0, 2, 4}
Graph it!
We have released a new and improved Graphing question type! Students will no longer be able to answer this question.
Question 8
8.
y = -x + 2, Domain: {-4, -2, 0, 2, 4}
Range? Write your answer using Set Builder Notation.
Question 9
9.
Is this relation discrete or continuous?
discrete
continous
Question 10
10.
Write a rule for the function represented by the graph.
Question 11
11.
Identify the domain. Write your answer in Set Builder Notation.
Question 12
12.
Identify the range. Write your answer in Set Builder Notation.
Question 13
13.
Find the x-intercept of the equation by graphing (using the Desmos calculator). Write your answer as an ordered pair.
Question 14
14.
Find the y-intercept of the equation by graphing (using the Desmos calculator). Write your answer as an ordered pair.
Question 15
15.
Use the slope formula to find the slope of a line that passes through the points.
(-4, 3) and (7, 5)
Question 16
16.
Use the slope formula to find the slope of a line that passes through the points.
(1, 2) and (-2, 2)
Question 17
17.
Use the slope formula to find the slope of a line that passes through the points.
(-2, -1) and (2, -6)
Question 18
18.
Use the slope formula to find the slope of a line that passes through the points.
(4, -1) and (4, 3)
Question 19
19.
The table shows the amount of money spent by a household on plants for certain years. Find the rate of change between 2005 and 2007.
Question 20
20.
The table shows the amount of money spent by a household on plants for certain years.
What does a negative rate of change mean in this situation from Number 19?
Question 21
21.
Find the slope of the equation:
Question 22
22.
Find the y-intercept of the equation:
Question 23
23.
Use the slope and y-intercept to graph the equation.
visibility
View drawing
Question 24
24.
Write the equation in slope intercept form with the given information:
Question 25
25.
Write the equation of the line in slope intercept form with the given information:
Show your work in the box below.
visibility
View drawing
Question 26
26.
Write the equaiton of the line in slope intercept form with the given information:
Show your work in the box below.
visibility
View drawing
Question 27
27.
Write an equation in slope intecept form for a linear function f(x) that has the given values.
Hint: What are the two points?
Show your work in the box below.
visibility
View drawing
Question 28
28.
Write an equation in point-slope form of the line that passes through the given point and has a given slope
m
.
(2, 1),
m
= 2
Question 29
29.
Write an equation in point-slope form of the line that passes through the given point and has a given slope
m
.
(7, -1),
m
= -6
Question 30
30.
Write an equation in point-slope form of the line that passes through the given point and has a given slope
m
.
(-8, 2),
m
= 5
Question 31
31.
Write an equation in point-slope form of the line that passes through the given point and has a given slope
m
.
(-11, -3),
m
= -9
Question 32
32.
Graph the equation on the graph below:
visibility
View drawing
Question 33
33.
Write the equation of the line in point-slope form.
Question 34
34.
Write an equation of the line in point-slope form that passes through the given points.
SHOW YOUR WORK IN THE BOX BELOW.
(-4, -1), (6, -7)
visibility
View drawing
Question 35
35.
Write the equation of the given line in
slope-intercept form
.
Question 36
36.
Write the equation of the given line in
standard form
.
***Remember that standard form can only have integer coefficients!!
Question 37
37.
Write the equation of the line that passes through the two given points in
point-slope form
.
Question 38
38.
Write the equation of the line that passes through the two given points in
slope-intercept form
.
Question 39
39.
Write the equation of the line that passes through the two given points in
standard form
.
Question 40
40.
Graph the equation of the line that has an
x-intercept of -5
and a
y-intercept of 1
visibility
View drawing
Question 41
41.
Graph the equation of the line.
visibility
View drawing
Question 42
42.
What is the slope of a line parallel to the line formed by the equation?
Question 43
43.
What is the equation of the line parallel to the line formed by the equation and passes through the point (2, 4)?
Question 44
44.
What is the slope of the line perpendicular to the line formed by the equation?
Question 45
45.
What is the equation of the line perpendicular to the line formed by the equation that passes through the point (2, 4)?
Question 46
46.
Find the line of best fit with the Desmos graphing calculator. Round to the nearest tenth on your slope and intercept.
Question 47
47.
Given the equation above, what would you expect the breaking distance to be at a speed of 30 miles an hour?
Question 48
48.
Is that interpolation or extrapolation?
interpolation
extrapolation
Question 49
49.
Given the equation above, what would you expect the speed to be when the breaking distance is 10?
Question 50
50.
Is that interpolation or extrapolation?
interpolation
extrapolation