Evaluating Functions & Absolute Value Functions

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What is an absolute value function?

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CCSS.HSF-IF.C.7D

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What does the vertex of an absolute value function represent?

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The vertex of an absolute value function is the point where the graph changes direction. It represents the minimum or maximum value of the function.

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CCSS.HSF-IF.C.7D

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CCSS.HSF-IF.C.7D

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What is the general form of an absolute value function?

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CCSS.HSF-IF.C.7D

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Evaluate the function f(x) = 3x - 5 at x = 4.

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f(4) = 3(4) - 5 = 12 - 5 = 7.

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CCSS.HSF.IF.A.2

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Changing the value of 'a' affects the steepness and direction of the graph. If 'a' is positive, the graph opens upwards; if 'a' is negative, it opens downwards.

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How do you evaluate the function f(x) = -2x + 13 at x = 10?

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f(10) = -2(10) + 13 = -20 + 13 = -7.

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CCSS.HSF.IF.A.2

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The vertex is at (4, 2).

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CCSS.HSF-IF.C.7D

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How do you find the sum of two functions, f(x) and g(x)?

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To find the sum of two functions, you add their outputs: (f + g)(x) = f(x) + g(x).

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CCSS.HSF-BF.A.1B