Unit 1 AP Precalculus Review

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Back

Front

How do you calculate the average rate of change of a function?

Back

The average rate of change is calculated using the formula: \( \frac{f(b) - f(a)}{b - a} \). For the climber's hike, it is \( \frac{700 - 400}{6 - 2} = 75 \) feet per hour.

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What defines an even function?

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Front

What is a point of inflection?

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A point of inflection is where the function changes concavity, which can be found by analyzing the second derivative.

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How do you find the limit of a rational function as x approaches infinity?

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Front

What is the significance of the leading coefficient in polynomial functions?

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The leading coefficient determines the end behavior of the polynomial function. If positive, the function rises to the right; if negative, it falls to the right.

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What is the difference between even and odd functions?

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Even functions are symmetric about the y-axis, while odd functions are symmetric about the origin.

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How do you determine if a function is increasing or decreasing?

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A function is increasing where its derivative is positive and decreasing where its derivative is negative.

Front

What is the formula for the average rate of change?

Back

The average rate of change is given by: \( \frac{f(b) - f(a)}{b - a} \).