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.

Question

Mathematics

Michael George

24 February, 13:39

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.

+3

Answers (2)

Know the Answer?

Terry Houston · Answer 1

B

Step-by-step explanation:

Absolute value graphs look like a V. if the leading coefficient (8) is positive the V faces up and if - it would face down. So as this graph goes towards infinity on either direction, it will become more positive in either direction

Snow White · Answer 2

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.