Unit 2 Review

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What is the definition of a limit in calculus?

Back

A limit is a value that a function approaches as the input approaches some value.

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What does it mean for a function to be continuous at a point?

Back

A function is continuous at a point if the limit of the function as it approaches that point equals the function's value at that point.

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What is the derivative of a function?

Back

The derivative of a function represents the rate of change of the function with respect to its variable.

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What is the significance of the average rate of change?

Back

The average rate of change of a function over an interval gives the slope of the secant line connecting the endpoints of the interval.

Front

What does it mean if the derivative of a function is negative at a point?

Back

If the derivative is negative at a point, the function is decreasing at that point.

Front

What is the formula for the derivative of a function using limits?

Back

Front

What is the relationship between differentiability and continuity?

Back

If a function is differentiable at a point, it must be continuous at that point, but the converse is not necessarily true.

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Back

Front

What is the average number of ducks crossing the road if Uncle Si counts 4 ducks per hour?

Back

4 ducks per hour.

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