Functions by Formulas and Graphs

  • The Difference Quotient
  1. \rhd  Example 1 (3:19)  (a) Let f(x)=2x-5, find f(x+h)-f(x). (b) Let f(x)=3x+2, find the difference quotient \dfrac{f(x+h)-f(x)}{h}.
  2. \rhd  Example 2 (4:34)  Let f(x)=2x^2-x+5, find and simplify the difference quotient \dfrac{f(x+h)-f(x)}{h}.
  • Analyzing Graphs
  1. \rhd The graph of a function (19:01) Given the graph of a function, find the domain, the range, pre-images and images.