Sketch a graph of speed vs time for

Increasing, decreasing, and constant rates of change

Extrema: Extrema occur where a line tangent to the graph is horizontal.

Find the intervals where the following is increasing or decreasing. Then find the extrema.

Point of Inflection (POI) Horizontal Tangents?

Critical Values: Critical values occur at: Extrema Points of inflection

HOMEWORK: Page 40: 1 – 21 odd Give the intervals of increasing, decreasing and

Slides: 14

Download presentation

Sketch a graph of speed vs. time for the following situation: You are stopped at a red light on Wattles Road. When the light turns green, you accelerate to the speed limit and maintain that speed until you must slow down slightly for a car that is turning. You then accelerate back to the speed limit and travel at this constant rate until you approach a red light at Rochester Road where you come to a complete stop.

Sketch a graph of speed vs. time for the following situation: Speed in meters/second You are stopped at a red light on Wattles Road. When the light turns green, you accelerate to the speed limit and maintain that speed until you must slow down slightly for a car that is turning. You then accelerate back to the speed limit and travel at this constant rate until you approach a red light at Rochester Road where you come to a complete stop. Time in seconds

Increasing, decreasing, and constant rates of change

Increasing: Decreasing: Constant:

Extrema: Extrema occur where a line tangent to the graph is horizontal.

Find the intervals where the following is increasing or decreasing. Then find the extrema.

Point of Inflection (POI) Horizontal Tangents?

Critical Values: Critical values occur at: Extrema Points of inflection

HOMEWORK: Page 40: 1 – 21 odd Give the intervals of increasing, decreasing and constant rates of change. Estimate the extrema and points of inflection