mariammohammad44
contestada

Select the correct answer.

Which statement describes the end behavior of the function f(x) = 8|x-1| + 13?

A. As x approaches negative infinity. F(x) approaches negative infinity.

B. As x approaches negative infinity, F(x) approaches positive infinity.

C. As x approaches positive infinity, F(x) approaches negative infinity.

D. As x approaches positive infinity, (fx) is no longer continuous.

Respuesta :

Answer:

B. As x approaches negative infinity, F(x) approaches positive infinity.

Step-by-step explanation:

f(x) = 8|x-1| + 13

parent function: |x|

|x| looks like a V, the -1 term translate the parent function 1 step to the right, the 8 multiplying the function stretch it horizontally, and the +13 moves it 13 units up. Therefore, as x approaches negative infinity, f(x) approaches positive infinity.

facundo3141592

The end behavior of the function is:

B. As x approaches negative infinity, F(x) approaches positive infinity.

How to determine the end behavior of the function?

Remember that:

|x| ≥ 0

For every possible value of x.

So, if we evaluate the function:

f(x) = 8|x-1| + 13

in x = -∞

The absolute value part will be positive, and there is no negative sign, then the function will tend to positive infinity.

The same thing as x approaches positive infinity.

Then the correct option is B.

If you want to learn more about end behavior:

https://brainly.com/question/1365136

#SPJ5

Otras preguntas