Absolute Value Function Review

Front

What is the definition of an absolute value function?

Back

An absolute value function is a function that returns the non-negative value of a number, defined as f(x) = |x|.

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.

Front

What is the transformation represented by f(x) = |x| + 1?

Back

The transformation is a vertical shift upwards by 1 unit.

Front

What does the negative sign in front of the absolute value function indicate?

Back

The negative sign indicates a reflection over the x-axis.

Front

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

Back

The range is y ≥ 0.

Front

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

Back

The domain is all real numbers.

Front

How does the transformation f(x) = |x - 5| affect the graph?

Back

It shifts the graph 5 units to the right.

Front

What is the effect of the transformation f(x) = |x| - 3?

Back

It shifts the graph downwards by 3 units.

Front

What is the equation of the absolute value function that opens downwards?

Back

The equation is f(x) = -|x| + b, where b is the vertical shift.

Front

How do you determine the vertex of the absolute value function f(x) = |x - 2| + 3?

Back

The vertex is at the point (2, 3).