Graphing Piecewise Functions: Key Concepts and Techniques

What is a piecewise function?

• A function that is always quadratic

• A function comprised of two or more functions

• A function that only has one variable

• A function made up of a single linear equation

When graphing the function 1/2x, what is the y-intercept?

• 1

• 0

• 2

• 3

For the function 1/2x, which of the following points is on the graph?

• (0, 1)

• (2, 1)

• (1, 2)

• (0, 0)

What type of line is represented by the function y = 3?

• Diagonal line

• Parabola

• Horizontal line

• Vertical line

When combining graphs, what does an open circle represent?

• The point is not included in the graph

• The point is a maximum

• The point is included in the graph

• The point is a minimum

What is the parent function of a quadratic equation?

• y = 2x

• y = 3

• y = x

• y = x^2

How does the graph of 2x^2 differ from x^2?

• It is shifted up by 2 units

• It is shifted down by 2 units

• It is stretched vertically by a factor of 2

• It is compressed vertically by a factor of 2

What is the slope of the linear function 2x - 1?

• -1

• 0

• 2

• 1

For the function -x, what is the slope?

• 0

• 2

• -1

• 1

In the function x^2 - 1, what does the -1 represent?

• Horizontal shift right by 1 unit

• Vertical shift down by 1 unit

• Vertical stretch

• Horizontal shift left by 1 unit