5/19/2016 Final Exam Review Ch 10,11-Virginia Davis https://xlitemprod.pearsoncmg.com/api/v1/print/math 1/11 1. 2. 3. 4. Student: _____________________ Date: _____________________ Instructor: Virginia Davis Course: Foundations for College Math (1) Assignment: Final Exam Review Ch 10,11 Simplify by factoring. Assume that all variables under radicals represent nonnegative numbers. x 10 Select the correct choice below and, if necessary, fill in the answer box that completes your choice. A. = x 10 (Type an exact answer, using radicals as needed.) B. The square root is not a real number. Find the root. Assume that the variable represents a nonnegative real number. 8 x 32 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. (Simplify your answer.) 8 x 32 = B. The root is not a real number. Simplify the radical. Assume that all variables represent positive real numbers. 3 − 27x 9 y 6 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. = 3 − 27x 9 y 6 B. The radical does not represent a real number. Simplify the radical. Assume that all variables represent positive real numbers. 6 a 66 b 6 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. 6 a 66 b 6 = B. The root is not a real number.
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Final Exam Review Ch 10,11-Virginia Davismbhsdavismath.weebly.com/uploads/5/8/1/6/...ch_1011... · 5/19/2016 Final Exam Review Ch 10,11-Virginia Davis 6/11 26. Find the vertex of
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5/19/2016 Final Exam Review Ch 10,11-Virginia Davis
26. Find the vertex of the graph of the quadratic function. Determine whether the graph opens upward or downward, find any intercepts, and sketch the graph.
f(x) = x + 6x + 52
The vertex is . (Simplify your answer. Type an ordered pair.)
Does the graph open upward or downward?
The parabola opens ward.upThe parabola opens ward.down
Find any xintercepts of the graph.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The xintercept(s) is(are) . (Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.)
B. There is no xintercept.
Find any yintercepts of the graph.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The yintercept(s) is(are) . (Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.)
B. There is no yintercept.
Use the graphing tool to graph the function.
10 8 6 4 2 2 4 6 8 10
10
8
6
4
2
2
4
6
8
10
x
y
5/19/2016 Final Exam Review Ch 10,11-Virginia Davis
27. Find the vertex of the graph of the quadratic function. Determine whether the graph opens upward or downward, find any intercepts, and sketch the graph.
f(x) = − x − 6x − 52
The vertex is . (Simplify your answer. Type an ordered pair.)
Does the graph open upward or downward?
The parabola opens ward.downThe parabola opens ward.up
Find any xintercepts of the graph.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The xintercept(s) is(are) . (Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.)
B. There is no xintercept.
Find any yintercepts of the graph.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A. The yintercept(s) is(are) . (Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.)
B. There is no yintercept.
Use the graphing tool to graph the function.
10 8 6 4 2 2 4 6 8 10
10
8
6
4
2
2
4
6
8
10
x
y
5/19/2016 Final Exam Review Ch 10,11-Virginia Davis
28. Find the vertex of the graph of the quadratic function shown below. Determine whether the graph opens upward or downward, find the yintercept, approximate any xintercepts to one decimal place, and sketch the graph.
f(x) = 12x − 24x + 132
The vertex is . (Simplify your answer. Type an ordered pair.)
Does the graph open upward or downward?
The parabola opens ward.upThe parabola opens ward.down
What is the yintercept of the graph?
(Type an ordered pair. Use a comma to separate answers as needed.)
Approximate any xintercepts of the graph. Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
A.The xintercept(s) is(are) . (Type an ordered pair. Round to one decimal place as needed. Use a comma to separate answers as needed.)
B. There are no xintercepts.
Choose the correct graph below.
A.
5 5
15
15
x
y
B.
5 5
15
15
x
y
C.
5 5
15
15
x
y
D.
5 5
15
15
x
y
5/19/2016 Final Exam Review Ch 10,11-Virginia Davis