Absolute Value Functions Practice

Front

What is the definition of an absolute value function?

Back

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.

Front

What is the general form of an absolute value function?

Back

Front

What does the vertex of an absolute value function represent?

Back

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

Front

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

Back

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Back

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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Back

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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Back

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?

Back

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