Math 2.1-2.5 Flashcards

Definition of a function:

A relation in which every element of the domain corresponds to exactly one element of the range.

Domain

The x values that produce outputs

Range

The y values that correspond to the inputs

|x|

X²

X³

\sqrt{x}

3\sqrt{x}

3\sqrt{x^2}

\sqrt{x^3}

1/x

1/x²

Y= f(x) + c

Up c units

Y = f(x) - c

Down c units

Y = f(x - c)

Right c units

Y = f(x + c)

Left c units

Y = -f(x)

Flip over x axis

Y = f(-x)

Flip over y axis

Y = af(x)

Vertical stretch by factor of a

Y = f(bx)

Horizontal compression by factor of 1/b