SOLUTION: I apologize if this is the wrong section. I just recently got back into school and taking a math course currently and I just got stuck on a question. These type of problems is wher

Question 588893: I apologize if this is the wrong section. I just recently got back into school and taking a math course currently and I just got stuck on a question. These type of problems is where I get confused about.
The problem is:
Find the range of y=f(x) and graph it.

f(x){-1/4(x) if x cannot = to 0; -6 if x=0}

I appreciate it as this will help me with the next few problems.
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
The domain of a function is the set of possible values for x.
For example the domain for is all the non-negative x values.
We may state it as {x: }
The range is the set of all the possible y=f(x) values
For example the range for is {y: } because all the values for y=f(x) will be 2 or greater.

f(x)=1/(4x)= has a domain of all real numbers except x=0, because when the denominator is zero, the function is undefined; f(0) does not exist.
The function can be "patched up" by defining f(0)=-6, or some such thing.
The range of that function is all real numbers except y=0 because there is no value for x that maxes f(x)=0. We could fix it by defining f(0)=0, and then the domain and the range would be all real numbers.
The graph of f(x)=1/(4x) is
If there is a definition "patch-up" for x=0, there is an extra point on the y axis. If not patched up, the function never touches the y axis.
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