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!!! P7.1: Exponential Function Features

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Posljednje ažuriranje over 4 years ago
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Napomena autora:

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
Pitanje 1
1.

Does the function represent growth or decay?

1
Pitanje 2
2.

What is the asymptote for this function?

Your answer should include an = sign, no spaces.

1
Pitanje 3
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.

1
1
1

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

1
Pitanje 7
7.

Does the function represent growth or decay?

1
Pitanje 8
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
Pitanje 13
13.

Does the function represent growth or decay?

1
Pitanje 14
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
Pitanje 19
19.

Does the function represent growth or decay?

1
Pitanje 20
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
Pitanje 25
25.

Does the function represent growth or decay?

1
Pitanje 26
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
Pitanje 31
31.

What is the asymptote for this function?

Your answer should include an = sign, no spaces.

1
Pitanje 32
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
Pitanje 33
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
Pitanje 4
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.

Pitanje 5
5.

What is the end behavior on the RIGHT side?

Pitanje 6
6.

What is the end behavior on the LEFT side?

Pitanje 9
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.

Pitanje 10
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.

Pitanje 11
11.

What is the end behavior on the RIGHT side?

Pitanje 12
12.

What is the end behavior on the LEFT side?

Pitanje 15
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.

Pitanje 16
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.

Pitanje 17
17.

What is the end behavior on the RIGHT side?

Pitanje 18
18.

What is the end behavior on the LEFT side?

Pitanje 21
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.

Pitanje 22
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.

Pitanje 23
23.

What is the end behavior on the RIGHT side?

Pitanje 24
24.

What is the end behavior on the LEFT side?

Pitanje 27
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.

Pitanje 28
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.

Pitanje 29
29.

What is the end behavior on the RIGHT side?

Pitanje 30
30.

What is the end behavior on the LEFT side?

Pitanje 34
34.

What is the end behavior on the RIGHT side?

Pitanje 35
35.

What is the end behavior on the LEFT side?