analyzing functions inverses and combinations polynomial and radical functions rational and logs/exp...

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PRECALCULUS MIDTERM REVIEW

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PRECALCULUS MIDTERM REVIEW

Analyzing Functions

Inverses and Combinations

Polynomial and Radical Functions

Rational and Logs/Exp Functions

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40 40

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10

Final Jeopardy!

Analyzing Functions – 10 Points

ANSWER:

Analyzing Functions – 20 Points

ANSWER:

• Reflect over x-axis, vertical compression by 1/3 (multiply y-values by 1/3, translation down 2 and left 4.

Analyzing Functions – 30 Points

ANSWER:

• odd

Analyzing Functions – 40 Points

ANSWER:

• No; removable discontinuity

Is the function continuous at If not, state the type of discontinuity.

Inverses & Combinations – 10 Points

ANSWER:

• Yes – make sure that AND

Decide whether the functions and are inverses of each other.

Inverses & Combinations – 20 Points

ANSWER:

Find the inverse of

ANSWER:

Inverses & Combinations – 30 Points

ANSWER:

Inverses & Combinations – 40 Points

Polynomials/Radicals – 10 Points

ANSWER:

Polynomials/Radicals – 20 Points

ANSWER:

• Degree, zeros:

Polynomials/Radicals – 30 Points

ANSWER:

Divide the polynomial by x-5.

Polynomials/Radicals – 40 Points

ANSWER:

Solve the equation:

Rationals&Logs/Exp – 10 Points

ANSWER:

Rationals&Logs/Exp – 20 Points

ANSWER:

Solve the equation:

Rationals&Logs/Exp – 30 Points

ANSWER:

• A) $3645.49• B) $3645.93

Rationals&Logs/Exp – 40 Points

ANSWER:• , VA: and , HA:

Find the domain and all asymptotes (vertical or horizontal) of the function

Final Jeopardy

ANSWER:

• 2591.20 ft

In order to calculate the height of a mountain peak, a surveyor measured the angle of elevation from a certain stake and found it to be . Then he advances over a ground level toward the peak and set a second stake, from which the angle of elevation was found to be . The distance between the stakes was ft. Find the height of the peak above ground level.