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Functions Introduction

User Tbleher
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Functions

It's given the function

y = 3x - 5

First, we need to fill up the table with values for x and y.

It's required to use values of x={0,1,2,3}

We could also use some negatives like {-2,-1}

For x=-2,

y = 3*(-2) - 5 = -6-5 = -11

For x=-1,

y = 3*(-1) - 5 = -3-5 = -8

For x=0

y = 3*(0) - 5 = 0-5 = -5

For x=1

y = 3*(1) - 5 = 3-5 = -2

For x=2

y = 3*(2) - 5 = 6-5 = 1

For x=3

y = 3*(3) - 5 = 9-5 = 4

The corresponding ordered pairs are:

(-2,-11) (-1,-8) (0,-5) (1,-2) (2,1) (3,4)

Now we plot the points in the grid

Domain of the function: All the real numbers. We can give x any real value and the function will have an output value corresponding to the given x

Range of the function: All the real numbers. Any number selected from the output set (values of y) corresponds to one value of the input set (value of x)

The relation is a function because each value of x has one and only one value of y.

Functions Introduction-example-1
User Pwaring
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