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Math Problems
Algebra 2
Exponential functions over unit intervals
How does
g
(
x
)
=
5
x
g(x) = 5^x
g
(
x
)
=
5
x
change over the interval from
x
=
9
x = 9
x
=
9
to
x
=
10
x = 10
x
=
10
?
\newline
Choices:
\newline
(A)
g
(
x
)
g(x)
g
(
x
)
increases by
5
5
5
\newline
(B)
g
(
x
)
g(x)
g
(
x
)
increases by a factor of
5
5
5
\newline
(C)
g
(
x
)
g(x)
g
(
x
)
decreases by a factor of
5
5
5
\newline
(D)
g
(
x
)
g(x)
g
(
x
)
increases by
x
=
9
x = 9
x
=
9
0
0
0
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How does
h
(
x
)
=
8
x
h(x) = 8^x
h
(
x
)
=
8
x
change over the interval from
x
=
3
x = 3
x
=
3
to
x
=
4
x = 4
x
=
4
?
\newline
Choices:
\newline
(A)
h
(
x
)
h(x)
h
(
x
)
increases by a factor of
8
8
8
\newline
(B)
h
(
x
)
h(x)
h
(
x
)
decreases by
8
%
8\%
8%
\newline
(C)
h
(
x
)
h(x)
h
(
x
)
increases by
8
8
8
\newline
(D)
h
(
x
)
h(x)
h
(
x
)
increases by
8
%
8\%
8%
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How does
h
(
t
)
=
9
t
h(t) = 9^t
h
(
t
)
=
9
t
change over the interval from
t
=
0
t = 0
t
=
0
to
t
=
1
t = 1
t
=
1
?
\newline
Choices:
\newline
(A)
h
(
t
)
h(t)
h
(
t
)
decreases by
9
9
9
\newline
(B)
h
(
t
)
h(t)
h
(
t
)
increases by
800
%
800\%
800%
\newline
(C)
h
(
t
)
h(t)
h
(
t
)
increases by
900
%
900\%
900%
\newline
(D)
h
(
t
)
h(t)
h
(
t
)
increases by
t
=
0
t = 0
t
=
0
0
0
0
Get tutor help
How does
h
(
t
)
=
8
t
h(t) = 8^t
h
(
t
)
=
8
t
change over the interval from
t
=
8
t = 8
t
=
8
to
t
=
9
t = 9
t
=
9
?
\newline
Choices:
\newline
(A)
h
(
t
)
h(t)
h
(
t
)
increases by a factor of
8
8
8
\newline
(B)
h
(
t
)
h(t)
h
(
t
)
decreases by
8
8
8
\newline
(C)
h
(
t
)
h(t)
h
(
t
)
increases by
800
%
800\%
800%
\newline
(D)
h
(
t
)
h(t)
h
(
t
)
increases by
8
8
8
Get tutor help
How does
h
(
x
)
=
9
x
h(x) = 9^x
h
(
x
)
=
9
x
change over the interval from
x
=
0
x = 0
x
=
0
to
x
=
1
x = 1
x
=
1
?
\newline
Choices:
\newline
(A)
h
(
x
)
h(x)
h
(
x
)
increases by
800
%
800\%
800%
\newline
(B)
h
(
x
)
h(x)
h
(
x
)
increases by
9
%
9\%
9%
\newline
(C)
h
(
x
)
h(x)
h
(
x
)
increases by
9
9
9
\newline
(D)
h
(
x
)
h(x)
h
(
x
)
decreases by
9
%
9\%
9%
Get tutor help
How does
g
(
t
)
=
3
t
g(t) = 3^t
g
(
t
)
=
3
t
change over the interval from
t
=
3
t = 3
t
=
3
to
t
=
4
t = 4
t
=
4
?
\newline
Choices:
\newline
(A)
g
(
t
)
g(t)
g
(
t
)
decreases by
3
3
3
\newline
(B)
g
(
t
)
g(t)
g
(
t
)
increases by
3
3
3
\newline
(C)
g
(
t
)
g(t)
g
(
t
)
decreases by
3
%
3\%
3%
\newline
(D)
g
(
t
)
g(t)
g
(
t
)
increases by
200
%
200\%
200%
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