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Laabri

Alg462 Review Logarithmic Functions

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Last updated over 5 years ago
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1.

Simplify the expression:

Show your work in the "show your work" box below.

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2.

Simplify the expression:

Show your work in the "show your work" box below.

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3.

Simplify the expression:

Show your work in the "show your work" box below.

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4.

Graph the function:

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5.

State the range from the function:

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6.

Describe the transformations from the parent function to the function g(x).

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7.

Write the new function, g(x), from the parent function:

after the given transformations:

-Reflect over the x-axis

-Vertical stretch by a factor of 4

-Shifted left 6 units

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8.

Rewrite the equation in exponential form.

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9.

Rewrite the equation in exponential form.

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10.

Rewrite the exponential form into logarithmic form.

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11.

Rewrite the exponential form into logarithmic form.

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12.

Evaluate the logartihm without using a calculator:

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13.

Evaluate the logartihm without using a calculator:

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14.

Evaluate the natural log without using a calculator:

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15.

Graph the function:

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16.

Describe, in the show your work box, the transformations in words from the parent function.

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17.

Write the function, g(x), that has been transformed from the parent function:

with a vertical stretch by a factor of 6 and shifted down 3 units.

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18.

What is the domain for the function:

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19.

What is the x-inercept for the function:

Write your answer as an ordered pair.

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20.

What is the vertical asymptote for the function: