How do you "find the range of a function for a given domain ?

Question

This is a set of review problems, and I don't remember how to start. The firat problem looks like this:

 

f(x) = 3x + 2

 

Answer 1

The domain of a function is the numbers on the x coordinate that the function can be. The range is the same, but for the y axis.
So for the function you gave, if the domain is all numbers between -1 and 3, you plug in those numbers

ƒ(-1) = 3x + 2 → 3(-1) + 2 = -5
ƒ(3) = 3x + 2 → 3(3) + 2 = 11
and the output is the range.
In this case, the domain would be all numbers between -1 and 3, and the range would be all numbers between -5 and 11

Answer 2

Hi Christine;

The domain is all the values of x this equation can accommodate.  There are no limitations on x, such as if it is positioned within a denominator thereby eliminating x=0.

DOMAIN...(-infinity, +infinity)

 

f(x)=y is the range.  This is all possible values of y.  Since there is nothing limiting x, there is nothing limiting its equation results...

RANGE...(-infinity, +infinity)

 

What are the other problems?