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.