Section 1.1.1 Finding Functions

Section 1.1.1

Finding Functions

A function is a relation in which there is exactly one output or value in the range for every input value of the domain.

The domain of a function is the set of all input values that will give an output.

The range of a function is the set of outputs that can come from the input values.

An argument is the expression upon which the function operates.

2(2 1)x

The argument is 2x+1.

Function Notationf(x) reads “f at x”

f: functions name

x: independent variable (input)

y: dependent variable (output)

f(x): value of function f at the number x

The sketch of a graph means to show the approximate shape of the graph in the correct location with respect to the axes, and to clearly label all key points.To an accurate graph means to plot many points onto graph paper with all the key points labeled.

Include domain, range, intercepts, asymptotes, and symmetry.

x

y

2 2y x

D: ___________ R: _____________

X-int: ________ y-int: __________

Asymp: ______________________

Sym: ________________________

Rules of Exponents

, 0m

m nn

xx x

x

, 0m m

m

x xy

y y

0 1x m n m nx x x

( )m n mnx x

( )m m mxy x y

1 1x

x

Right Triangle Trig:

4

5 3

Leave your answersas a fraction.

LABELING Triangles:

sin

cos

tan

A

A

A

A

B

C

Assignment

Pg 3  #1-5 TO 1-12