Evaluating and identifying features of a graph

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What is the interval of increase?

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The interval of increase is the range of x-values where the function's output (y-value) is rising. For example, if a function increases from x=3 to x=7, the interval of increase is (3, 7).

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What is the interval of decrease?

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The interval of decrease is the range of x-values where the function's output (y-value) is falling. For example, if a function decreases from x=0 to x=3, the interval of decrease is (0, 3).

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What does it mean for a function to be increasing?

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A function is increasing on an interval if, as x increases, the value of f(x) also increases.

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What does it mean for a function to be decreasing?

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A function is decreasing on an interval if, as x increases, the value of f(x) decreases.

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How do you find the intervals of increase and decrease from a graph?

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To find intervals of increase and decrease, look for sections of the graph where the slope is positive (increasing) or negative (decreasing).

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What is a function?

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A function is a relation that assigns exactly one output (y-value) for each input (x-value).

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What is the domain of a function?

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The domain of a function is the set of all possible input values (x-values) for which the function is defined.