Interpreting Piecewise Functions and Their Graphs

The video tutorial covers interpreting and graphing piecewise functions, highlighting their real-life applications in cell phone billing and shipping rates. It provides examples using a Sprint calling plan and demonstrates graphing techniques for piecewise functions with two and three pieces, including using a graphing calculator.

What is a real-life application of piecewise functions?

• Measuring the speed of light

• Finding the volume of a cube

• Determining cell phone rates

• Calculating the area of a circle

In the 2005 Sprint cell phone plan, what is the monthly bill for using 360 minutes?

• $30

• $40

• $50

• $60

If a customer uses 700 minutes, what is their monthly bill?

• $45

• $50

• $55

• $60

For how many minutes is the monthly bill $55?

• 700 to 800 minutes, including 700

• 600 to 700 minutes, including 600

• 700 to 800 minutes, excluding 700

• 600 to 700 minutes, excluding 600

What is the value of G(x) for x ≥ 1 in the function G(x) = 2 for x ≥ 1, G(x) = -x - 2 for x < 1?

• G(x) = x + 2

• G(x) = -2

• G(x) = 2

• G(x) = -x - 2

What is the slope of the line G(x) = -x - 2 for x < 1?

• -2

• 2

• 1

• -1

How many pieces does the function F(x) = 3 for x ≤ 0, F(x) = 1 - x^2 for 0 < x ≤ 2, F(x) = 2x - 4 for x > 2 have?

• 2

• 3

• 1

• 4

What type of graph is represented by F(x) = 1 - x^2 for 0 < x ≤ 2?

• A circle

• A parabola

• An exponential curve

• A line

Which interval does the function F(x) = 2x - 4 cover?

• 0 < x ≤ 2

• x ≤ 0

• x < 2

• x > 2

What is a drawback of using a graphing calculator for piecewise functions?

• It only graphs linear functions

• It does not show open and closed points

• It cannot graph multiple pieces

• It cannot handle inequalities