AnswersFL-1200330-Algebra 2 CRModeling with Rational Functions

Modeling with Rational Functions Answers

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1
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The domain of an exponential function is . The range of an exponential function is .

A
all real numbers
B
nonnegative real numbers
C
positive real numbers
D
negative real numbers
2
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The domain of an exponential function is . The range of an exponential function is .

A
all real numbers
B
nonnegative real numbers
C
positive real numbers
D
negative real numbers
3

The graph of an exponential function has .

A
an x-intercept only
B
a y-intercept only
C
both an x-intercept and a y-intercept
4

The graph is throughout its domain and has at the x–axis because the value bx can get very close to 0 but never reach it.

A
constant
B
decreasing
C
increasing
5

The graph is throughout its domain and has at the x–axis because the value bx can get very close to 0 but never reach it.

A
a slope line
B
an asymptote
C
a tangent line
7

Which function represents a vertical stretch of an exponential function?

A
y = 2x
B
Option
C
y = 23x
8

Which function represents a horizontal compression of an exponential function?

A
y = 2x
B
Option
C
y = 23x
9

Which statements about the graph of the function are true?

Question illustration
A
The function is increasing.
B
The function is decreasing.
C
The x-intercept is (1, 0).
D
The y-intercept is (0, 1).
E
The range of the function is all real numbers.
10

Which functions represent exponential growth?

A
y = f(x)
B
y = h(x)
C
y = g(x)
D
y = k(x)
11

Explore transformations of the basic exponential function , shown right. First, change the slider for h to positive values such as 1, 2, or 3. The curve shifts h units

Question illustration
A
up.
B
down.
C
right.
D
left.
12

The parent function y = 0.5x is across its domain because its base, b, is such that .

A
increasing
B
decreasing
C
constant
13

y = 3x

A
a
B
b
C
c
14

Which functions have a horizontal asymptote?

A
y = f(x)
B
y = h(x)
C
y = g(x)
D
y = k(x)
15

If h is instead negative, the curve shifts

A
up.
B
down.
C
right.
D
left.
16

The parent function y = 0.5x is across its domain because its base, b, is such that .

A
0 < b < 1
B
b > 1
C
b<1
17

y = 3−x

A
a
B
b
C
c
18

Which shows the domain and range of these functions?

A
Domain: Range:
B
Domain: Range:
C
Domain: Range:
19

Next, change the slider for k to different positive values. The curve shifts k units

A
up.
B
down.
C
right.
D
left.
20

The function, f, shifts the parent function 8 units .

A
left
B
right
C
up
D
down
21

y = −3x

A
a
B
b
C
c

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