Rational Exponents Worksheet With Answer Key - Ottawa Hills Local School District Page 4
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1
2
3
4
5intercept, a y-intercept of 1, the domain is all reals,
ANSWER:
the range is all positive reals, it is
a . 12
increasing over the entire domain, as x approaches
b . 8
7-3 Rational Exponents
infinity f (x) approaches infinity, as x approaches
c . 3
negative infinity f (x) approaches 0.
88. MULTIPLE REPRESENTATIONS In this
90. CCSS ARGUMENTS Determine whether each
problem, you will explore the graph of an
statement is always, sometimes, or never true.
exponential function.
Assume that x is a nonnegative real number.
a. TABULAR Copy and complete the table below.
Explain your reasoning.
a.
b.
c.
b. GRAPHICAL Graph f (x) by plotting the points
and connecting them with a smooth curve.
d.
c. VERBAL Describe the shape of the graph of f
(x). What are its key features? Is it linear?
ANSWER:
e.
a .
f.
ANSWER:
a . sometimes; true only when x = 1
b . sometimes; true only when x = 1
b.
c . sometimes; true only when x = 1
d . always; by definition of
e. always;
or x
f . sometimes; true only when x = 1
92. ERROR ANALYSIS Anna and Jamal are solving
. Is either of them correct?
Explain your reasoning.
c. The graph of f (x) = 4x is a curve. It has no x-
intercept, a y-intercept of 1, the domain is all reals,
the range is all positive reals, it is
increasing over the entire domain, as x approaches
infinity f (x) approaches infinity, as x approaches
negative infinity f (x) approaches 0.
ANSWER:
90. CCSS ARGUMENTS Determine whether each
Anna; Jamal did not write the expressions with
statement is always, sometimes, or never true.
equal bases before applying the Power Property of
Assume that x is a nonnegative real number.
Equality.
Explain your reasoning.
94. What is the value of
?
a.
A 5
b.
B 11
C 25
c.
D 35
d.
ANSWER:
D
e.
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Page 4
96. SHORT RESPONSE Find the dimensions of the
rectangle if its perimeter is 52 inches.
f.
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