Learning algebra can be a daunting task for many students. More often than not, other than being attentive in class, students will require some extra help to understand algebra, and having a great tutor is one of the options.

**Algebra Functions with Domain and Range**

A student’s algebra textbook in Fountain Valley may define domain and range in terms of x and y, or f(x) and x.

An outstanding algebra tutor can remind a student that “f” stands for function.

But often, an algebra textbook will be tricky the first part of the lesson or homework problems and begin to use other letters to create problems. While some Fountain Valley algebra students will easily be able to understand that a standard f(x) is the same idea as F(x), g(x), F(z), M(n), etc. and that the problems are solved in the same way, others will struggle and need the explanation from an algebra tutor.

For example, an Algebra textbook may ask a question like:

Find the domain of the following function:

W(z) = 5 – 3z over the domain (1, 0, -1)

In reality, this algebra problem is no different than the one that we went over in an earlier blog on domain and range. However, for some Fountain Valley students, it will look different. They may be completely confused, as there is no “x,” “y,” or “f(x)” in the problem.

An algebra tutor may rewrite the problem to make it more clear to the students:

f(x) = 5 – 3x over the domain (1, 0, -1)

Or a Fountain Valley algebra tutor can explain that w and z are just different letters being used to find the same concept.

In either case, the domain values (whether the algebra student wants to think of them as “x” or “z”) need to be substituted into the equation to find the range. To solve:

- 5 – 3(1)

5 – 3

2

- 5 – 3(0)

5 – 0

5

- 5 – 3(-1)

5 + 3

8

The solution for the range is (2, 5, 8.) Notice that even though the values of the domain were in decreasing order, this does NOT predict that the values of the range will be in decreasing order.

**Getting Help in Algebra**

If you or your student are having a difficult time understanding algebra, Firefly Tutors offers algebra tutoring to increase your understanding and improve your grades. We have algebra tutors that will come to your home in Fountain Valley, Huntington Beach, Costa Mesa, and throughout Orange County. We also offer tutoring in every subject in Fountain Valley and beyond.

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