Graphing Absolute Value Functions

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

Front

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

Back

The value of 'a' affects the steepness of the graph. If 'a' is greater than 1, the graph is steeper; if 'a' is between 0 and 1, the graph is wider. If 'a' is negative, the graph opens downwards.

Front

Back

Changing 'h' shifts the graph horizontally. If 'h' is positive, the graph shifts to the right; if 'h' is negative, it shifts to the left.

Front

Back

Changing 'k' shifts the graph vertically. If 'k' is positive, the graph shifts up; if 'k' is negative, it shifts down.

Front

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

Back

To find the x-intercepts of an absolute value function, set the function equal to zero and solve for x.

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{∞})@@.

Front

What is the range of an absolute value function?

Back

Front

Back

Front

What is the significance of the absolute value symbol in a function?

Back

The absolute value symbol indicates that the output of the function is always non-negative, regardless of the input value.