Which type of function describes g(x)?

Question

The table of values represents a continuous function.

x	–3	–1	1	3	5	7	9
g(x)	4	–4	–4	4	20	44	76

Which type of function describes g(x)?

1. Exponential

2. Logarithmic 

3.Polynomial 

4.Rational

Answer 1

Hey!

What you need to be looking for here is how the x values are changing (with respect to y). In other words, as the x-values increase, what's happening with the y-values?

It is crucial that you know that the exponential/logarithmic functions' x-values with respect to y change EXTREMELY quickly! They are also one-to one meaning EVERY x-value gets exactly one y-value and vice versa.

Rational Functions are asymptotic - there is always some value that is undefined for x. Meaning there are typically one (or more) domains where the function is defined.

Polynomial functions have many common graphs - quadratic, cubic, etc. These can have more than one x-value for two or more of the same exact y's. For example, the graph x^2.

Hope this helps!