Absolute Value Functions Practice

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What is the definition of an absolute value function?

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An absolute value function is a function that contains an algebraic expression within absolute value symbols, which measures the distance of a number from zero on the number line, always resulting in a non-negative output.

Tags

CCSS.HSF-IF.C.7D

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What is the general form of an absolute value function?

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Tags

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 represents the highest or lowest point of the graph, depending on whether the function opens upwards (minimum) or downwards (maximum).

Tags

CCSS.HSF-IF.C.7D

Front

How do you determine if the vertex is a maximum or minimum?

Back

Tags

CCSS.HSF-IF.C.7D

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Changing 'a' affects the steepness of the graph. A larger absolute value of 'a' makes the graph steeper, while a smaller absolute value makes it wider.

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The 'h' value represents the horizontal shift of the graph. It moves the graph left or right along the x-axis.

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The 'k' value represents the vertical shift of the graph. It moves the graph up or down along the y-axis.

Front

How do you find the x-intercepts of an absolute value function?

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Tags

CCSS.HSF-IF.C.7D

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Back

Tags

CCSS.HSF-IF.C.7D

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The graph is a downward-opening V-shape with the vertex at the origin (0,0), representing a maximum point.

Tags

CCSS.HSF-IF.C.7D