↕️ Inverse of a function:

Definition: inverse of $y=f(x)$ → $x=f^{-1}(y)$

Example: inverse of $y=x^2$ → $x=\pm\sqrt{y}$

🥚Range and domain:

Definitions:

range: set of values the dependent variable can take

domain: set of possible values for the independent variable

🏂 Intercepts:

Definition:

When the function touches either the x or y axis

y intercept: $f(0)=y$

x intercept: $f(x)=0$

🌓 Symmetries:

Definition:

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an even function is when $f(x)=f(-x)$ [mirror on the y axis]

an odd function is when $f(x)=-f(-x)$ [axial symmetries on the x axis]

if y and x are interchangeable then it is symmetrical on the axis x=y

🪜 asymptotes:

3 types: horizontal, vertical and oblique asymptote

ways to find them: find limits, use long division