Download Graph each function, and compare to the parent graph. State the

across the x-axis. Another way to identify the graph i
to notice that the y-values in the table are –1 times th
corresponding y-values for the parent function. The
domain is {x|x ≥ 0} and the range is {y|y ≤ 0}.
Practice Test - Chapter 10
Graph each function, and compare to the parent
graph. State the domain and range.
2. 1. SOLUTION: Make a table.
x
0
0.5
1
2
3
y
0
≈ –
–1
≈ –
≈ –
0.7
1.4
1.7
Plot the points and draw a smooth curve.
SOLUTION: Make a table.
x
0
0.5
1
2
3
y
0
≈ 0.18 0.25 ≈ 0.35 ≈ 0.43
Plot the points and draw a smooth curve.
4
–2
The parent function
is multiplied by a value l
than 1 and greater than 0, so the the graph is a vertic
compression of
. Another way to identify the
The parent function
is multiplied by the
negative of 1, so the graph is a reflection of across the x-axis. Another way to identify the graph i
to notice that the y-values in the table are –1 times th
corresponding y-values for the parent function. The
domain is {x|x ≥ 0} and the range is {y|y ≤ 0}.
2. SOLUTION: Make a table.
x
0
0.5
1
2
3
y
0
≈ 0.18 0.25 ≈ 0.35 ≈ 0.43
Plot the points and draw a smooth curve.
compression is to notice that the y-values in the table
times the corresponding y-values for the parent functi
The domain is {x|x ≥ 0} and the range is {y|y ≥ 0}.
3. SOLUTION: Make a table.
x
0
0.5
1
2
3
y
5
6
≈ 5.7
≈ 6.4
≈ 6.7
Plot the points and draw a smooth curve.
4
7
The value 5 is being added to the parent function
, so the graph is translated up 5 units from th
The parent function
is multiplied by a value l
than 1 and greater than 0, so the the graph is a vertic
eSolutions Manual - Powered by Cognero
compression of
. Another way to identify the
compression is to notice that the y-values in the table
parent graph
. Another way to identify the
translation is to note that the y-values in the table are
greater than the corresponding y-values for the paren
function. The domain is {x|x ≥ 0} and the range is {y|
Page 1
≥ 5}.
compression of
parent graph
. Another way to identify the
translation is to note that the y-values in the table are
greater than the corresponding y-values for the paren
function. The domain is {x|x ≥ 0} and the range is {y|
≥ 5}.
. Another way to identify the
compression is to notice that the y-values in the table
timesTest
the corresponding
Practice
- Chapter 10y-values for the parent functi
The domain is {x|x ≥ 0} and the range is {y|y ≥ 0}.
3. 4. SOLUTION: Make a table.
x
0
0.5
1
2
3
y
5
6
≈ 5.7
≈ 6.4
≈ 6.7
Plot the points and draw a smooth curve.
SOLUTION: Make a table.
x
0
2
4
–4
–2
y
0
2
≈ 1.4
≈ 2.4
≈ 2.8
Plot the points and draw a smooth curve.
4
7
The value 5 is being added to the parent function
, so the graph is translated up 5 units from th
The value 4 is being added to the square root of the
parent function
, so the graph is translated 4
parent graph
. Another way to identify the
translation is to note that the y-values in the table are
greater than the corresponding y-values for the paren
function. The domain is {x|x ≥ 0} and the range is {y|
≥ 5}.
units left from the parent graph
. Another
way to identify the translation is to note that the xvalues in the table are 4 less than the corresponding
x-values for the parent function. The domain is {x|x
≥ –4}, and the range is {y|y ≥ 0}.
4. 5. GEOMETRY The length of the side of a square is
SOLUTION: Make a table.
x
0
2
4
–4
–2
y
0
2
≈ 1.4
≈ 2.4
≈ 2.8
Plot the points and draw a smooth curve.
given by the function s =
, where A is the area
of the square. What is the perimeter of a square that
has an area of 64 square inches?
A 64 inches
B 8 inches
C 32 inches
D 16 inches
SOLUTION: Substitute 64 for A.
The side length of the square is 8 inches.
The value 4 is being added to the square root of the
parent function
, so the graph is translated 4
units left from the parent graph
. Another
way to identify the translation is to note that the xvalues in the table are 4 less than the corresponding
eSolutions
Manual
by Cognero
x-values
for- Powered
the parent
function. The domain is {x|x
≥ –4}, and the range is {y|y ≥ 0}.
The perimeter of the square is 32 inches. The correct
choice is C.
Page 2
Simplify each expression.
6. units left from the parent graph
. Another
way to identify the translation is to note that the xvalues in the table are 4 less than the corresponding
x-values
the parent10
function. The domain is {x|x
Practice
Testfor- Chapter
≥ –4}, and the range is {y|y ≥ 0}.
5. GEOMETRY The length of the side of a square is
given by the function s =
, where A is the area
of the square. What is the perimeter of a square that
has an area of 64 square inches?
A 64 inches
B 8 inches
C 32 inches
D 16 inches
7. SOLUTION: SOLUTION: Substitute 64 for A.
The side length of the square is 8 inches.
8. SOLUTION: The perimeter of the square is 32 inches. The correct
choice is C.
Simplify each expression.
6. SOLUTION: 7. 9. SOLUTION: 10. GEOMETRY Find the area of the rectangle.
SOLUTION: F G 14
H eSolutions Manual - Powered by Cognero
J SOLUTION: Page 3
The area of the rectangle is
The correct choice is H.
Practice Test - Chapter 10
Solve each equation. Check your solution.
10. GEOMETRY Find the area of the rectangle.
square units. 11. SOLUTION: F G 14
Check:
H J SOLUTION: Substitute
for and
for w.
12. SOLUTION: Check:
The area of the rectangle is
The correct choice is H.
square units. Solve each equation. Check your solution.
11. SOLUTION: Because 13 does not satisfy the original equation, 3 is
the only solution.
13. PACKAGING A cylindrical container of chocolate
3
drink mix has a volume of about 162 in . The radius
of the container can be found by using the formula
, where r is the radius and h is the height.
Check:
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If the height is 8.25 inches, find the radius of the
container.
SOLUTION: Substitute 8.25 for h.
Page 4
A length cannot be negative. The missing length is 10
units.
Because
not satisfy
Practice
Test13- does
Chapter
10 the original equation, 3 is
the only solution.
13. PACKAGING A cylindrical container of chocolate
3
drink mix has a volume of about 162 in . The radius
of the container can be found by using the formula
, where r is the radius and h is the height.
If the height is 8.25 inches, find the radius of the
container.
15. SOLUTION: SOLUTION: Substitute 8.25 for h.
A length cannot be negative. The missing length is
approximately 9.2 units.
The radius of the container is about 2.5 inches.
Find each missing length. If necessary, round to
the nearest tenth.
16. DELIVERY Ben and Amado are delivering a
freezer. The bank in front of the house is the same
height as the back of the truck. They set up their
ramp as shown. What is the length of the slanted part
of the ramp to the nearest foot?
14. SOLUTION: SOLUTION: Let L be the length of the slanted part of the ramp. L
can be found using the Pythagorean theorem:
A length cannot be negative. The missing length is 10
units.
17. Find the values of the three trigonometric ratios for
angle A.
15. SOLUTION: SOLUTION: eSolutions Manual - Powered by Cognero
Page 5
Keystrokes: [SIN] 9
15
The result is 36.86989764584.
So, m X is about 37°.
Practice Test - Chapter 10
17. Find the values of the three trigonometric ratios for
angle A.
19. LIGHTHOUSE How tall is the lighthouse?
SOLUTION: SOLUTION: Let h be the height of the lighthouse. L can be found
using trigonometric ratios:
18. Find
to the nearest degree.
SOLUTION: You know the measure of the side opposite the angle
and the hypotenuse. Use the sine ratio.
-1
Use a calculator and the [sin ] function to find the
measure of the angle. Keystrokes: [SIN] 9
15
The result is 36.86989764584.
So, m X is about 37°.
19. LIGHTHOUSE How tall is the lighthouse?
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