# Which is the correct answer?

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A function, f, passes through the points (1,1), (2,7) and (3,25). A function, g, passes through the points (1,36), (2,43) and (3,50).

Select the correct answer.

As the value of x increases, the value of f(x) will never exceed the value of g(x).

As the value of x increases, the value of f(x) will eventually exceed the value of g(x).

As the value of x increases, the values of f(x) and g(x) remain constant.

As the value of x increases, the value of f(x) and the value of g(x) both approach 100.

A function, f, passes through the points (1,1), (2,7) and (3,25). A function, g, passes through the points (1,36), (2,43) and (3,50).

Select the correct answer.

As the value of x increases, the value of f(x) will never exceed the value of g(x).

As the value of x increases, the value of f(x) will eventually exceed the value of g(x).

As the value of x increases, the values of f(x) and g(x) remain constant.

As the value of x increases, the value of f(x) and the value of g(x) both approach 100.

##### 1 Answer

I think it is likely that the intended answer was

"As the value of x increases, the value of f(x) will eventual exceed the value of g(x)"

however...

#### Explanation:

Without any information about the nature of

From the given information, it seems that

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

If

then

and

From the graphs we can see that **in this case** for large values of

**However** (removing the requirement that

also fits the given data values, but the graphs now look like:

and except of small values of

Similarly, if