Graphing Absolute Value Functions

Front

What is an absolute value function?

Back

Front

What is the general form of an absolute value function?

Back

Front

How does the value of 'a' affect the graph of an absolute value function?

Back

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. The larger the absolute value of 'a', the steeper the graph.

Front

What does the vertex of an absolute value function represent?

Back

The vertex of an absolute value function is the point where the graph changes direction. It is the minimum or maximum point of the function, depending on the value of 'a'.

Front

What is the effect of adding a constant outside the absolute value function?

Back

Front

What is the effect of adding a constant inside the absolute value function?

Back

Front

What is the equation of the absolute value function with vertex at (2, 0)?

Back

Front

What is the equation of the absolute value function that opens downwards with vertex at (0, -2)?

Back

Front

How do you graph an absolute value function?

Back

To graph an absolute value function, identify the vertex, determine the direction of opening (up or down), plot points on either side of the vertex, and connect them to form a V shape.

Front

What is the domain of an absolute value function?

Back

The domain of an absolute value function is all real numbers, expressed as @@(- ext{∞}, ext{∞})@@.