Section 3.3 – Rates of Change and Behavior of Graphs

Average Rate of Change  

Average Rate of Change  

Average Rate of Change      

Average Rate of Change      

Difference Quotient For each function f, construct and simplify the difference quotient:

Difference Quotient For each function f, construct and simplify the difference quotient:

Increasing, Decreasing or Constant

Increasing, Decreasing or Constant Determine intervals on which the function is (a) increasing, (b) decreasing and (c) constant. Determine the domain and range. x-values ****All intervals should be open when determining increasing/decreasing/constant. Endpoints can be closed. 6. Increasing: Decreasing: Constant: Domain: Range:

Increasing, Decreasing or Constant Determine intervals on which the function is (a) increasing, (b) decreasing and (c) constant. Determine the domain and range. x-values ****All intervals should be open when determining increasing/decreasing/constant. Endpoints can be closed. 7. Increasing: Decreasing: Constant: Domain: Range:

Local Maxima or Minima A relative min or max is a “low point” or “high point.”

Local Maxima or Minima Using the graph, determine any relative(local) maxima or minima of the function and the intervals on which the function is increasing or decreasing. State the domain and range. 8. Local Min of 2 at x = 1 Increasing: Decreasing: Domain: Range: