Question

The function f(x)=-\x-4/+6 is increasing

through the interval -
A. 6 C. 4 B. -00< x < 4
D. 4 :)

Answer 1

Option B

Explanation:

Given function is,

f(x) = -|x - 4| + 6

By using a graphing tool we can get the graph of the given function.

From the graph attached slope of the line drawn from
`x=-\infty` to
`x=4` is positive while slope of the line from
`x=4` to
`x=\infty` is negative.

Therefore, segment showing a positive slope will be increasing in the given interval
`-\infty<x<4`.

Function 'f' is increasing in the interval
`-\infty<x<4`.

Option B will be the correct option.