Exploring Linear vs Nonlinear Functions

What is the objective of the lesson?

• To study the properties of circles

• To understand the concept of derivatives

• To determine whether a function is linear or nonlinear

• To learn about quadratic functions

Did the football travel the same height each half second?

• Yes, it did

• No, it did not

• It traveled lower each time

• It traveled higher each time

What type of graph represents the height of the football?

• A zigzag line

• A parabola

• A smooth curve

• A straight line

What type of graph represents the distance traveled by the football?

• A parabola

• A smooth curve

• A zigzag line

• A straight line

What indicates a linear function in a table of values?

• The values increase exponentially

• The rate of change is constant

• The values decrease exponentially

• The rate of change varies

What indicates a nonlinear function in a table of values?

• The values increase linearly

• The values decrease linearly

• The rate of change is constant

• The rate of change varies

Are ticket sales a linear function of the number of tickets sold?

• No, because the values decrease exponentially

• Yes, because the values increase exponentially

• Yes, because the rate of change is constant

• No, because the rate of change varies

What is the rate of change for the perimeter of a square with side length s?

• s/4

• 4s

• s^2

• 4

Does the perimeter of a square represent a linear function?

• No, because the rate of change varies

• Yes, because the rate of change is constant

• No, because the values decrease exponentially

• Yes, because the values increase exponentially

Is the area of a square a linear or nonlinear function of its side length?

• Linear

• Neither

• Both

• Nonlinear