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.