Two different functions are represented.
Function A:
X- 0,1,2,3,4
F(X)- 5,10,20,40,80

Function B- y=4/x

Which statement best compares the two functions?

Neither function A nor function B has an x-intercept.
Neither function A nor function B has a y-intercept.
The domain and range of both functions contain only positive numbers.
The domain and range of both functions contain only positive numbers and zero.

Respuesta :

Answer:

Neither function A nor function B has an x-intercept.

Step-by-step explanation:

Function A has a y-intercept at (0, 5).

Function B is defined for negative numbers as well as positive numbers, but not for x=0.

These observations eliminate all answer choices but the first one.

The statement that best compares the two functions is; Neither function A nor function B has an x-intercept.

How to Interpret Functions?

A y-intercept is the point where x = 0. Now, for function A we can see that when x = 0, y = 5. Thus, it has a y-intercept.

However, we are not given the point where y = 0 which is x-intercept. Thus, function A does not have an x-intercept.

Formula for Function B is y = 4/x.

This function does not have an x-intercept because at x = 0, the function is undefined.

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