Function

Absolute value graphs (Transformation)

Refer to Khan academy: Absolute value graphs

Refer to Maths is fun.

Refer to math is fun: Parabola : The graph for quadratic

Parabola is a quadratic's graph.

Refer to math is fun: Maxima and Minima of Functions

• Absolute maximum: means the…

Refer to khan academy: Linear growth vs. Exponential growth

Quite a bit like the Arithmetic sequences vs. Geometric sequences,

except in Exponential relationship, it's using a common exponent,
instead of using a…

Refer to math is fun: Midpoint of a Line Segment
The midpoint is halfway between the two end points of the line segment.

Refer to math is fun: Function Transformations

Express different transformations in the function.

Refer to the previous note Graph transformations.

Let’s assume:

• the function is f(x)…

Refer to math is fun: Inverse functions

If a function means Map to, then inverse function means Map back. f(x)=y maps x to y, then f'(y)=x maps y back to x. Note that f' is the inverse function of f.

Refere to khan academy: The sign of a polynomial

The sign of a polynomial between ANY two CONSECUTIVE roots is either always positive or always negative.

This is because polynomial functions are continuous functions (no breaks in the…