Home Advanced Calculus Functions

FUNCTIONS

F1 Working With Functions

Basics Graphs

Description
\( y = x \)
Description
\( y = x^2 \)
Description
\( y = x^3 \)
Description
\( y = |x| \)
Description
\( y = \frac{1}{x} \)
Description
\( y = e^{x} \)
Description
\( y = \sqrt{x} \)
Description
\( y = \sqrt{r^{2} - x^{2}} \)
Description
\( x^{2} + y^{2} = r^{2} \)

F2 Graphing Techniques

Transformations

Description
\[ y = -f(x) \]
vertical reflection
(flip)
Description
\[ y = f(-x) \]
horizontal reflection
(flip)
Description
\( y = x^3 \)
Description
\( y = |x| \)
Description
\( y = \frac{1}{x} \)
Description
\( y = e^{x} \)
Description
\( y = \sqrt{x} \)
Description
\( y = \sqrt{r^{2} - x^{2}} \)
Description
\( x^{2} + y^{2} = r^{2} \)

"The only way to learn mathematics is to do mathematics" - Paul R Halmos