The functions f (x) and g (x) are shown below: f (x) = 5x g (x) = 5x Which statement best describes the graph of f (x) and g (x) ?

The graph of f (x) will eventually exceed the graph of g (x).

The graph of g (x) will eventually exceed the graph of f (x).

The graphs will both have their y-intercept equal to 1.

The graphs will both have their y-intercept equal to 5.

Question

Chaz Reed

Mathematics

20 April, 08:57

The functions f (x) and g (x) are shown below: f (x) = 5x g (x) = 5x Which statement best describes the graph of f (x) and g (x) ?

The graph of f (x) will eventually exceed the graph of g (x).

The graph of g (x) will eventually exceed the graph of f (x).

The graphs will both have their y-intercept equal to 1.

The graphs will both have their y-intercept equal to 5.

+5

Answers (1)

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Ean Daugherty · Answer 1

Note that f (x) = 5x and g (x) = 5x. This means that f (x) and g (x) are equal to each other. Therefore, anything that is true for f (x) is true for g (x). This means that neither graph will ever exceed the other, so the first two statements are not correct.

Next, we can graph f (x) = 5x and g (x) to quickly find the y-intercept.

The y-intercept of both of these functions is "0".

This means that the second two statements are also incorrect.

While none of these statements are correct, I would imagine that the third statement would best describe f (x) and g (x).

Perhaps there is an error in the question? Is the question copied down correctly?

Either way, none of the statements accurately describe f (x) and g (x).