QSE Support Absolute Value Function Attributes

Front

What is the vertex of the absolute value function?

Back

The vertex of the absolute value function is the point where the graph changes direction. For the standard form of the absolute value function, it is typically at (0, 0) unless transformed.

Front

What is the domain of the absolute value function?

Back

The domain of the absolute value function is all real numbers, represented as (-∞, ∞).

Front

What is the range of the absolute value function?

Back

The range of the absolute value function is all non-negative real numbers, represented as [0, ∞).

Front

What is the axis of symmetry for the absolute value function?

Back

The axis of symmetry for the absolute value function is a vertical line that passes through the vertex, typically represented as x = h, where h is the x-coordinate of the vertex.

Front

How do you find the maximum value of an absolute value function on a given interval?

Back

To find the maximum value of an absolute value function on a given interval, evaluate the function at the endpoints of the interval and at any critical points within the interval.

Front

How do you find the minimum value of an absolute value function on a given interval?

Back

To find the minimum value of an absolute value function on a given interval, evaluate the function at the endpoints of the interval and at any critical points within the interval.

Front

What does the graph of an absolute value function look like?

Back

The graph of an absolute value function is a V-shaped graph that opens upwards, with the vertex as the lowest point.

Front

What transformations can be applied to the absolute value function?

Back

Transformations include vertical shifts, horizontal shifts, reflections, and vertical stretches or compressions.

Front

What is the effect of a negative sign in front of the absolute value function?

Back

A negative sign in front of the absolute value function reflects the graph across the x-axis.

Front

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

Back

Adding a constant outside the absolute value function shifts the graph vertically.