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:
linear function f(x) = x
squaring function f(x) = x^{2}
cubing function f(x) = x^{3}
absolute value function f(x) = |x|
square root function f(x) = sqrt(x)
cube root function f(x) = cubeRoot(x)
natural exponential function f(x) = e^{x}
natural logarithmic function f(x) = ln(x)
Interactive Tutorial Using Applet
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) = x^{3}). 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.