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

27-09-2017
Mathematics

contestada

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.

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BCPowerhouse BCPowerhouse · Answer 1 · 2017-09-28T21:43:16+02:00

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).

RajarshiG RajarshiG · Answer 2 · 2022-06-18T10:15:43+02:00

The given functions f(x) and g(x) are not exceeding each other at any point as they are same function.

Both the graphs of these functions have same y-intercept of 0.

What is a function?

A function is the relation between two sets. A function relates the domain to the range.

Here, f(x) = 5x and g(x) = 5x.

Therefore, both functions are equal and their graph will be same.

Hence, none of them exceeding the other one.

If we compare both functions with standard form: y = mx + c, it is clear that both functions have same y-intercept of 0.

Learn more about function here:

https://brainly.com/question/12690362

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