intro linear functions

Functions

• You put a number into your machine, it does something to that number and it gives you the new number

• It does the same thing every time

• For every input, you can get only one output

• Everything we do in math is functions

You put something in, you get something out

• The function takes in a number, applies a rule to it, and spits out another number

It does the same thing every time

• The machine/function applies the same rule to every input every time, and it does it without changing the output

• Example: y = 2x

For every input, you can only get 1 output

• One input cannot have two or more different outputs

Everything we do in math is a function

• Multiplying a number by another number, raising a number to an exponent, adding two numbers are ALL functions

Two inputs can have the same output

The important thing is there is only one output PER input

Linear Functions

What do you think a linear function is?

Linear Functions

A linear function is a rule described by a linear equation. The rate of change is constant, and the graph of the equation is a line.

Does this table represent a linear function? Why?

Does this table represent ALL possible inputs and outputs?

Multiple Choice

which of the following is a linear Function?

Multiple Choice

Is the function linear or nonlinear?

• Linear Function
• Nonlinear Function

Multiple Choice

Is this function linear or nonlinear?

• Linear

• Nonlinear

Multiple Choice

Is this function linear or nonlinear?

• Linear

• Nonlinear

Multiple Choice

Is this function linear or non linear?

• Linear
• Non Linear

Multiple Choice

• Linear Function
• Nonlinear Function

Multiple Choice

Is this function linear or non linear?

• Linear
• Non Linear

Multiple Choice

Is the function Linear or Nonlinear?

• Linear
• Nonlinear

Multiple Choice

Is the function Linear or Nonlinear?

• Linear
• Nonlinear