Secant Lines and Tangent Lines

When you find the average rate of change over an interval, you are finding the slope of the _________________line on that interval.

When you are finding the instantaneous rate of change at a single point, you are finding the slope of the _____________ line at that point.

Find the average rate of change of Pete's height from 3 years old to 5 years old.

• 2 inches per year
• 8 inches per year
• 2 years
• 4 inches per year

The average rate of change on an interval is the...

• slope of the secant line on that interval

• slope of the tangent line on that interval

• slope of the cosecant line on that interval

• slope of the normal line on that interval

If the slope of the tangent line is 0, what does that mean with about the graph of the tangent line?

• Tangent line is vertical

• Tangent line has a positive slope

• Tangent line is horizontal

• Tangent line has a negative slope

Which of the following graphs has the largest average rate of change from -1 to 2?

• 
• 
• 
• 

• -5/7

• 7/5

• -7/5

• 5/7

State the slope of the line given.

• Positive

• Negative

• Zero Slope

• Undefined

Given the following graph with tangent lines, at which

x-value is the slope equal to zero?