7.1 Averaging Continuous Functions: The Definite Integral

Checkpoint 3

Use your graphing tool to graph each of the following functions, and decide whether each function is continuous or not. Give a reason for each of your answers.

  1. `f_1text[(]x text[)]=sintext[(]x text[)]`

  2. `f_2text[(]x text[)]=sin(1/x)` for `x > 0`

  3. `f_3text[(]x text[)]=1/3 x^(-2//3)`

  4. `f_4text[(]x text[)]=(x^2+1)/(x^2-2)`

Answers