TEST 2 REVIEW Sections 2
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Mathematics
Date
Apr 3, 2024
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12
Uploaded by DeaconManatee4185
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TEST 2 REVIEW Sections 2.1-2.8-Jennifer Melancon
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1.
2.
3.
4.
Student: _____________________
Date: _____________________
Instructor: Jennifer Melancon
Course: Math 113 A4 25670 S24
Assignment: TEST 2 REVIEW Sections 2.1-
2.8
Give three ordered pairs from the table.
Year
Percent
1993
31
1995
35
1997
38
Type year as the first element of the ordered pair and percent as the second element.
(Use a comma to separate answers as needed. Type an ordered pair.)
For the point P
and Q
, find the distance d(P,Q) and the coordinates of the midpoint M of the segment PQ.
(23,5)
(30,10)
What is the distance?
(Simplify your answer. Type an exact answer, using radicals as need.)
What are the coordinates of the midpoint M?
(Simplify your answer. Type an ordered pair, using integers or fractions.)
Find the coordinates of the other endpoint of the segment, given its midpoint and one endpoint. (Hint: Let (x,y) be the unknown endpoint. Apply the midpoint formula, and solve the two equations for x and y.)
midpoint (
,
), endpoint (
, )
7 5
16 7
The other endpoint is .
(Type an ordered pair.)
Give ordered pairs that are solutions and graph the equation.
y
x
3
= 5
− 15
Complete the ordered pairs so they are solutions to the given equation.
x
y
0
0
Use the graphing tool on the right to
graph the equation.
-10
-8
-6
-4
-2
2
4
6
8
10
-10
-8
-6
-4
-2
2
4
6
8
10
x
y
3/7/24, 12:53 PM
TEST 2 REVIEW Sections 2.1-2.8-Jennifer Melancon
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5.
6.
7.
8.
Find the center-radius form of the equation of the circle described and graph it.
center , radius ( − 2,0)
6
Type the center-radius form of the equation of the circle.
(Type an equation. Simplify your answer.)
Graph the circle.
-10
10
-10
10
x
y
Use the graph below to determine the equation of the circle in (a)
center-radius form and (b)
general form.
-10
10
-10
10
(-2,5)
(-2,1)
(0,3)
(-4,3)
a.
Type the equation in center-radius form.
(Simplify your answer.)
b.
Type the equation in general form.
(Simplify your answer.)
Give the center and radius of the circle represented by the equation.
x
y
x
y
2
+
2
− 10
+ 4
= − 13
The center of the circle is . (Type an ordered pair, using integers or fractions.)
The radius of the circle is . (Type an integer or a simplified fraction.)
Determine whether the relation is a function.
c
{(
,
), (
,
), (
,
), (
,
)}
=
6 5
− 6 − 5
2 5
4 − 7
Is the relation a function?
No
Yes
3/7/24, 12:53 PM
TEST 2 REVIEW Sections 2.1-2.8-Jennifer Melancon
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9.
10.
11.
12.
Determine the domain and the range of the relation, and tell whether the relation is a function.
{(
,
), (
,
), (
,
), (
,
), (
, )}
8 7
17 − 6
34 7
8 9
60 9
The domain is {
}.
(Use a comma to separate answers as needed. Type each answer only once.)
The range is {
}.
(Use a comma to separate answers as needed. Type each answer only once.)
Is this relation a function?
Yes
No
Decide whether the given relation defines y as a function of x. Give the domain and range.
y =
8x + 3
Does the relation define a function?
Yes
No
What is the domain?
(Type your answer in interval notation.)
What is the range?
(Type your answer in interval notation.)
Use the graph of y
f(x) to find each function value.
=
(a)
f(
)
− 4
(b)
f( )
0
(c)
f( )
5
(d)
f( )
8
(a)
f(
)
− 4 =
(b)
f( )
0 =
(c)
f( )
5 =
(d)
f( )
8 =
-10 -8
-6
-4
-2
2
4
6
8
10
-10
-8
-6
-4
-2
2
4
6
8
10
x
y
An equation that defines y as a function f of x is given. a) Solve the equation for y in terms of x, and replace y with the function notation f(x).
b) Find f(
).
5
x
y
+ 2
= 14
a) Solve the equation for y in terms of x, and replace y with the function notation f(x).
f(x) =
(Simplify your answer. Use integers or fractions for any numbers in the expression.)
b) Find f(
).
5
f( )
5 =
(Type an integer or a fraction.)
3/7/24, 12:53 PM
TEST 2 REVIEW Sections 2.1-2.8-Jennifer Melancon
https://tdx.acs.pearsonprd.tech/api/v1/print/highered
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13.
14.
15.
Graph the line . Give the domain and range.
− 2x + 3y = 6
Use the graphing tool to graph the equation.
What is the domain? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A.
The domain in interval notation is .
(Type your answer in interval notation.)
B.
The domain is a value or list of distinct values, .
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
What is the range? Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A.
The range in interval notation is .
(Type your answer in interval notation.)
B.
The range is a value or list of distinct values, .
(Type an integer or a simplified fraction. Use a comma to separate answers as needed.)
-10
-8
-6
-4
-2
2
4
6
8
10
-10
-8
-6
-4
-2
2
4
6
8
10
x
y
Find the slope of the line containing the pair of points.
(
,
) and (
, )
− 7 − 7
7 6
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A.
The slope is . (Simplify your answer. Type an integer or a fraction.)
B.
The slope is undefined.
Find the slope of the line and sketch the graph.
4x − 5y = 20
Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A.
The slope is .
(Type an integer or a simplified fraction.)
B.
The slope is undefined.
Use the graphing tool to graph the equation.
-10
-8
-6
-4
-2
2
4
6
8
10
-10
-8
-6
-4
-2
2
4
6
8
10
x
y
3/7/24, 12:53 PM
TEST 2 REVIEW Sections 2.1-2.8-Jennifer Melancon
https://tdx.acs.pearsonprd.tech/api/v1/print/highered
5/12
16.
17.
18.
19.
20.
The graph of a linear function f is shown. a. Identify the slope, y-
intercept, and x-intercept. b.
Write the equation that defines f.
The slope is .
(Type an integer or a simplified fraction.)
The y-intercept is .
(Type an ordered pair.)
The x-intercept is .
(Type an ordered pair.)
Write equation that defines f.
f(x) =
-10 -8
-6
-4
-2
2
4
6
8
10
-10
-8
-6
-4
-2
2
4
6
8
10
x
y
Write an equation (a)
in slope-intercept form and (b)
in standard form for the line passing through (
,
) and parallel to x
y
.
− 2 5
+ 3
= 5
a)
The equation of the line in slope-intercept form is .
(Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation.)
b)
The equation of the line in standard form is .
(Type your answer in standard form.)
Write an equation (a)
in slope-intercept form and (b)
in standard form for the line passing through (
,
) and perpendicular to x
y
.
1 6
2
+ 7
= 1
a) The equation of the line in slope-intercept form is .
(Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation.)
b)
The equation of the line in standard form is .
(Type your answer in standard form.)
Determine the intervals of the domain over which the function is continuous.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A.
The function is continuous on .
(Type your answer in interval notation.)
B.
The function is not continuous.
-10 -8
-6
-4
-2
2
4
6
8
10
-25
-20
-15
-10
-5
5
10
15
20
25
x
y
Determine the intervals of the domain over which function is continuous.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A.
The function is continuous on .
(Type your answer in interval notation.)
B.
The function is not continuous.
-4
-3
-2
-1
1
2
3
4
5
6
-5
-4
-3
-2
-1
1
2
3
4
5
x
y
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