Graph, Domain and Range of Common Functions

A tutorial using a large window applet to explore the graphs, domains and ranges of some of the most common functions used in mathematics.

Here is a list of the functions to be investigated:

  1. linear function f(x) = x
  2. squaring function f(x) = x2
  3. cubing function f(x) = x3
  4. absolute value function f(x) = |x|
  5. square root function f(x) = sqrt(x)
  6. cube root function f(x) = cubeRoot(x)
  7. natural exponential function f(x) = ex
  8. natural logarithmic function f(x) = ln(x)

Interactive Tutorial Using Applet
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TUTORIAL 1 - click on the button above "click here to start" and MAXIMIZE the window obtained.

2 - Select a function and examine its graph. Write down its equation .(for example f(x) = x3). Do this for all functions in the applet.

3 - Domain : Select a function, examine its graph and its equation. Find the domain of the function being explored. Do this activity for all functions.

4 - Range : Select a function, examine its graph and its equation. Find its range. Do this activity for all functions.


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Updated: February 2015

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