Absolute Value Functions practice

Front

What is the parent function of absolute value?

Back

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

Front

How does the graph of g(x) = |x - 2| compare to the parent function?

Back

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

Front

What effect does subtracting a constant from the absolute value function have on its graph?

Back

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

Front

What is the range of the function y = |x| - 7?

Back

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

Front

For which interval is the function f(x) = |x| decreasing?

Back

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

Front

For which interval is the function f(x) = |x| increasing?

Back

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

Front

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

Back

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

Front

What is the vertex of the absolute value function f(x) = |x|?

Back

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

Front

How do you determine the x-intercepts of the function g(x) = |x - 2|?

Back

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

Front

What is the domain of the absolute value function f(x) = |x|?

Back

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