FUNCTIONS, EQUATIONS AND GRAPHS

BELL RINGER

Take out you homework ( Page 12 from WB ) this will be one of the few times you need to separate a page out of your WB

Write an equation to represent the following situation and solve.

EQUATIONS / EXPRESSIONS

In what way can equations make solving a problem less difficult?

If given an equation how can you identify it as an equation and not and inequality ( or an expression)

WAYS TO REPRESENT RELATIONS

A relation in mathematics is the way in which two numbers correspond to each other

For example if you were to jump out of a plane that was flying at 10,000 feet there are several pieces of data that we could take as you fell to the ground.

DOMAIN AND RANGE

When we have a set of numbers that are related then one number is considered dependent on the other.

The independent variable is called the domain

The dependent variable is called the range

FUNCTIONS

Some relationships exist so that only one Dependent variable (Range value) is possible for each independent variable (Domain) these are called functions

If more then one range value is possible for a given domain then you do not have a function

DIRECT VARIATION

One type of function that you will encounter is the direct variation.

Where k is a constant number. In other words when you divide the y by x you always get the same value

TRY IT

c.

Use Direct Variation to solve a problem

EXIT SLIP

Is the following an example of direct variation? If yes write the expression that will generate these domain and range values

( write the equation)