AnswersAdvanced Algebra Concepts and Connections_TC_Online LearningUnit Test

Unit Test Answers

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21
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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.
22
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The parent function y = 0.5x is across its domain because its base, b, is such that .

A
increasing
B
decreasing
C
constant
23

a =

Answer:

1

24

y = 3x

A
a
B
b
C
c
25

Which functions have a horizontal asymptote?

A
y = f(x)
B
y = h(x)
C
y = g(x)
D
y = k(x)
26

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
27

y = 3−x

A
a
B
b
C
c
28

If h is instead negative, the curve shifts

A
up.
B
down.
C
right.
D
left.
29

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
30

b =

Answer:

3

31

If h is instead negative, the curve shifts

A
up.
B
down.
C
right.
D
left.
32

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
33

b =

Answer:

3

34

y = 3−x

A
a
B
b
C
c
35

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

A
left
B
right
C
up
D
down
36

y = −3x

A
a
B
b
C
c
37

Which shows the domain and range of these functions?

A
Domain: Range:
B
Domain: Range:
C
Domain: Range:
38

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

A
up.
B
down.
C
right.
D
left.
39

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
40

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

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

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