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Laabri

!!! P7.1: Exponential Function Features

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Last updated over 4 years ago
35 Nsɛmmisa
Hyɛ no nsow a efi ɔkyerɛwfo no hɔ:

For each function, find the graph. Determine whether it represents growth or decay. Identify the asymptotes, intercepts, and end behaviors.

The assignment looks long, but it is really only 6 questions with 6 (fairly easy) parts each.

Round any decimals to the nearest hundredth (two decimal places).

For review on exponential function graphs, watch this video. Or this one.

For each function, find the graph. Determine whether it represents growth or decay. Identify the asymptotes, intercepts, and end behaviors.

The assignment looks long, but it is really only 6 questions with 6 (fairly easy) parts each.

Round any decimals to the nearest hundredth (two decimal places).

For review on exponential function graphs, watch this video. Or this one.

f(x) = 2^{x}

1
Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Does the function represent growth or decay?

1
Asemmisa {{asɛmmisaAhyɛnsode}}
2.

What is the asymptote for this function?

Your answer should include an = sign, no spaces.

1
1
1
1

f(x) = 3^{x-2}-7

1
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7.

Does the function represent growth or decay?

1
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8.

What is the asymptote for this function?

Your answer should include an = sign, no spaces.

1
1
1
1

f(x) = (\frac{1}{2})^{x+4}-3

1
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13.

Does the function represent growth or decay?

1
Asemmisa {{asɛmmisaAhyɛnsode}}
14.

What is the asymptote for this function?

Your answer should include an = sign, no spaces.

1
1
1
1

f(x) = 4\cdot (\frac{2}{3})^{x}+1

1
Asemmisa {{asɛmmisaAhyɛnsode}}
19.

Does the function represent growth or decay?

1
Asemmisa {{asɛmmisaAhyɛnsode}}
20.

What is the asymptote for this function?

Your answer should include an = sign, no spaces.

1
1
1
1

f(x) = \frac{1}{2}\cdot 2^{x}-6

1
Asemmisa {{asɛmmisaAhyɛnsode}}
25.

Does the function represent growth or decay?

1
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26.

What is the asymptote for this function?

Your answer should include an = sign, no spaces.

1
1
1
1

f(x) = -\frac{1}{3}\cdot 6^{x}+5

1
Asemmisa {{asɛmmisaAhyɛnsode}}
31.

What is the asymptote for this function?

Your answer should include an = sign, no spaces.

1
Asemmisa {{asɛmmisaAhyɛnsode}}
32.

What is the x-intercept for this function?

Use (x, 0) format, with exactly one space after the comma. If there is no x-intercept, type "none" without quote marks.

1
Asemmisa {{asɛmmisaAhyɛnsode}}
33.

What is the y-intercept for this function?

Use (0, y) format, with exactly one space after the comma. If there is no x-intercept, type "none" without quote marks.

1
1
Asemmisa {{asɛmmisaAhyɛnsode}}
3.

What is the x-intercept for this function?

Use (x, 0) format, with exactly one space after the comma. If there is no x-intercept, type "none" without quote marks.

Asemmisa {{asɛmmisaAhyɛnsode}}
4.

What is the y-intercept for this function?

Use (0, y) format, with exactly one space after the comma. If there is no x-intercept, type "none" without quote marks.

Asemmisa {{asɛmmisaAhyɛnsode}}
5.

What is the end behavior on the RIGHT side?

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6.

What is the end behavior on the LEFT side?

Asemmisa {{asɛmmisaAhyɛnsode}}
9.

What is the x-intercept for this function?

Use (x, 0) format, with exactly one space after the comma. If there is no x-intercept, type "none" without quote marks.

Asemmisa {{asɛmmisaAhyɛnsode}}
10.

What is the y-intercept for this function?

Use (0, y) format, with exactly one space after the comma. If there is no x-intercept, type "none" without quote marks.

Asemmisa {{asɛmmisaAhyɛnsode}}
11.

What is the end behavior on the RIGHT side?

Asemmisa {{asɛmmisaAhyɛnsode}}
12.

What is the end behavior on the LEFT side?

Asemmisa {{asɛmmisaAhyɛnsode}}
15.

What is the x-intercept for this function?

Use (x, 0) format, with exactly one space after the comma. If there is no x-intercept, type "none" without quote marks.

Asemmisa {{asɛmmisaAhyɛnsode}}
16.

What is the y-intercept for this function?

Use (0, y) format, with exactly one space after the comma. If there is no x-intercept, type "none" without quote marks.

Asemmisa {{asɛmmisaAhyɛnsode}}
17.

What is the end behavior on the RIGHT side?

Asemmisa {{asɛmmisaAhyɛnsode}}
18.

What is the end behavior on the LEFT side?

Asemmisa {{asɛmmisaAhyɛnsode}}
21.

What is the x-intercept for this function?

Use (x, 0) format, with exactly one space after the comma. If there is no x-intercept, type "none" without quote marks.

Asemmisa {{asɛmmisaAhyɛnsode}}
22.

What is the y-intercept for this function?

Use (0, y) format, with exactly one space after the comma. If there is no x-intercept, type "none" without quote marks.

Asemmisa {{asɛmmisaAhyɛnsode}}
23.

What is the end behavior on the RIGHT side?

Asemmisa {{asɛmmisaAhyɛnsode}}
24.

What is the end behavior on the LEFT side?

Asemmisa {{asɛmmisaAhyɛnsode}}
27.

What is the x-intercept for this function?

Use (x, 0) format, with exactly one space after the comma. If there is no x-intercept, type "none" without quote marks.

Asemmisa {{asɛmmisaAhyɛnsode}}
28.

What is the y-intercept for this function?

Use (0, y) format, with exactly one space after the comma. If there is no x-intercept, type "none" without quote marks.

Asemmisa {{asɛmmisaAhyɛnsode}}
29.

What is the end behavior on the RIGHT side?

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30.

What is the end behavior on the LEFT side?

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34.

What is the end behavior on the RIGHT side?

Asemmisa {{asɛmmisaAhyɛnsode}}
35.

What is the end behavior on the LEFT side?