Absolute Value Functions practice

The parent function of absolute value is f(x) = |x|.

The graph of g(x) = |x - 2| is the parent function shifted 2 units to the right.

Subtracting a constant, such as in y = |x| - 7, shifts the graph down by that constant.

The range of the function y = |x| - 7 is y ≥ -7.

The function f(x) = |x| is decreasing for x < 0.

The function f(x) = |x| is increasing for x > 0.

Adding a constant, such as in g(x) = |x| + 2, shifts the graph up by that constant.

The vertex of the function f(x) = |x| is at the point (0, 0).

To find the x-intercepts, set g(x) = 0: |x - 2| = 0, which gives x = 2.

The domain of the function f(x) = |x| is all real numbers, or (-∞, ∞).