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134: Chapter 7b Test

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29 Nsɛmmisa

Chapter 7b TEST

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If you haven't finished DeltaMath, it is available through this weekend for partial credit.

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1.

Write an exponential function in the form y=ab^x that goes through points (0,5) and (4, 6480).

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2.

The population of rabbits on an island is growing exponentially. In the year 1991, the population of rabbits was 9100, and by 1998 the population had grown to 18000.
What is the equation for this situation? Use y=a(b)^x and round b to the ten-thousandth.

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3.

Using your answer from [2]:
Predict the population of rabbits in the year 2006, to the nearest whole number.

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4.

Create a parent table for y=(4)^x
Then, graph y=-(4)^{x-4}+5
Be sure to include the asymptote.

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16.

Create a parent table for y=3\log_2(x+5)+4
Then, graph it. Be sure to include the asymptote.

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28.

In the accompanying table, x represents study time, in hours, and y represents the final test score. Write a logarithmic regression equation for this set of data, rounding all coefficients to the nearest ten-thousandth.

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29.

Using the equation from [28], estimate how many hours a student studied, to the nearest hour, who scored a 98 on the test.
You can write your work, or take picture of the calculator screen.

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Exponential

Logarithmic

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Horizontal

Vertical

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x=

y=

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increasing

decreasing

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x\rightarrow -\infty

x\rightarrow -5

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y\rightarrow -5

y\rightarrow \infty

y\rightarrow -\infty

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x\rightarrow \infty

x\rightarrow -5

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y\rightarrow -5

y\rightarrow \infty

y\rightarrow -\infty

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Exponential

Logarithmic

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Horizontal

Vertical

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x=

y=

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increasing

decreasing

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x\rightarrow -\infty

x\rightarrow -8

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y\rightarrow -8

y\rightarrow \infty

y\rightarrow -\infty

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x\rightarrow \infty

x\rightarrow -8

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27.

y\rightarrow -8

y\rightarrow \infty

y\rightarrow -\infty