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Calculus
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FUNCTIONS
F1 Working With Functions
Basics Graphs
\( y = x \)
\( y = x^2 \)
\( y = x^3 \)
\( y = |x| \)
\( y = \frac{1}{x} \)
\( y = e^{x} \)
\( y = \sqrt{x} \)
\( y = \sqrt{r^{2} - x^{2}} \)
\( x^{2} + y^{2} = r^{2} \)
F2 Graphing Techniques
Transformations
\[ y = -f(x) \]
vertical reflection
(flip)
\[ y = f(-x) \]
horizontal reflection
(flip)
\( y = x^3 \)
\( y = |x| \)
\( y = \frac{1}{x} \)
\( y = e^{x} \)
\( y = \sqrt{x} \)
\( y = \sqrt{r^{2} - x^{2}} \)
\( x^{2} + y^{2} = r^{2} \)
"The only way to learn mathematics is to do mathematics" - Paul R Halmos