Comparing Functions: Graphs and Equations

What is the main focus of this lesson?

• Comparing functions represented graphically or as equations

• Exploring polynomial functions

• Understanding trigonometric functions

• Learning about quadratic equations

What does the y-axis represent in Mike's graph?

• Slope of the function

• Distance in miles

• Time in minutes

• Speed in miles per minute

How do you calculate the slope of Mike's graph?

• Change in X divided by change in Y

• Change in Y divided by change in X

• Sum of X and Y values

• Difference between X and Y values

What is the slope of Mike's graph?

• 1/16

• 20

• 16

• 1/20

What does a positive slope indicate in a graph?

• The graph is constant

• The graph is decreasing

• The graph is non-linear

• The graph is increasing

What is the slope of Carol's graph?

• 1/16

• 1/20

• 20

• 16

How long does it take Carol to walk one mile?

• 40 minutes

• 20 minutes

• 16 minutes

• 48 minutes

What does the slope represent in the context of these graphs?

• The total miles walked

• The distance covered

• The time taken

• The walking speed

Who walks faster, Mike or Carol?

• Mike

• Carol

• Both walk at the same speed

• It cannot be determined

Why is Carol's walking speed faster than Mike's?

• Her graph is non-linear

• She takes less time to walk the same distance

• Her slope is negative

• She walks a longer distance