Chapter 9 Algebra Worksheet With Answers - Montville Township Public Schools Page 2
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31true.
7. The solutions of a quadratic equation are called roots.
SOLUTION:
Study Guide and Review - Chapter 9
The solutions of a quadratic equation are called roots. The statement is true.
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8. The graph of the parent function is translated down to form the graph of f (x) = x
+ 5.
SOLUTION:
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If c > 0 in f (x) = x
+ c, the graph of the parent function is translated
units up. So, the statement is false. The
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graph of the parent function is translated up 5 units to form the graph of f (x) = x
+ 5.
State whether each sentence is true or false . If false , replace the underlined term to make a true
sentence.
9. The range of the greatest integer function is the set of all real numbers.
SOLUTION:
The statement is false. The domain of the greatest integer function is the set of all real numbers. The range is all
integers.
State whether each sentence is true or false . If false , replace the underlined term to make a true
sentence.
10. A function that is defined differently for different parts of its domain is called a piecewise-defined function.
SOLUTION:
true
Consider each equation.
a. Determine whether the function has a maximum or minimum value.
b. State the maximum or minimum value.
c. What are the domain and range of the function?
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11. y = x
− 4x + 4
SOLUTION:
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a. For y = x
– 4x + 4, a = 1, b = –4, and c = 4. Because a is positive, the graph opens upward, so the function has a
minimum value.
b. The minimum value is the y-coordinate of the vertex. The x-coordinate of the vertex is
.
Substitute this value into the function to find the y -coordinate.
The x-coordinate of the vertex is x = 2.
The minimum value is 0.
c. The domain is all real numbers. The range is all real numbers greater than or equal to the minimum value, or {y|y
≥ 0}.
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12. y = −x
+ 3x
SOLUTION:
eSolutions Manual - Powered by Cognero
Page 2
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a. For y = −x
+ 3x, a = –1, b = 3, and c = 0. Because a is negative, the graph opens downward, so the function has
a maximum value.
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