S2 A6- Graphing Piecewise Review

Front

What is the domain of the function h(x) = 4|x|?

Back

The domain is all real numbers.

Front

What is the range of the function h(x) = 4|x|?

Back

The range is y > 0.

Front

What is the vertex of the graph of g(x) = -2|x| + 3?

Back

The vertex is (0, 3).

Front

Does the graph of g(x) = -2|x| + 3 open upward or downward?

Back

The graph opens downward.

Front

How does the graph of f(x) = |x| compare with g(x) = 1/2|x|?

Back

The graph of g(x) = 1/2|x| is a vertical compression of the graph f(x).

Front

What is the domain of the function h(x) = -4|x|?

Back

The domain is all real numbers.

Front

What is the range of the function h(x) = -4|x|?

Back

The range is y < 0.

Front

What is the equation for the graph of f(x) = 3|x - 4| + 1?

Back

The equation is f(x) = 3|x - 4| + 1.

Front

What does a vertical compression of a graph mean?

Back

A vertical compression means the graph is squeezed towards the x-axis, making it less steep.

Front

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

Back

A negative coefficient reflects the graph across the x-axis.