Tangent Normal Lines Calculus

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 over

• -5/7

• 7/5

• -7/5

• 5/7

• undefined

The derivative of a function is its

• Slope

• Maximum/Minimum

• Instantaneous rate of change

• Common Denominator

If f '(x) = 0, what does that mean with respect to the tangent line?

• Tangent line is vertical

• Tangent line has a positive slope

• Tangent line is horizontal

• Tangent line has a negative slope

If a function has a derivative that is negative, what does that tell you?

• The function is increasing

• The function is decreasing

• The concavity of the function is up

• The concavity of the function is down

At which point(s) will the slopes of the tangent line be zero?

• at C only

• at points A, C and E only

• at point B and D only

• at points A and E only

At which point(s) will the slope(s) of the tangent line be POSITIVE?

• at C only

• at points A, C and E only

• at point B and D only

• at points A and E only

Where on this graph would you find a HORIZONTAL tangent line?

• x = -3

• x = 0

• x = 3

• There are no horizontal tangent lines on this graph