Question

What is the range of the function f(x) = -|x - 2| + 4?

a.The range is all real numbers greater than or equal to 4.

B. The range is all real numbers less than or equal to 4.

C. The range is all real numbers greater than or equal to -4.

D. The range is all real numbers less than 4.

Answer 1

\[|x|\geq0\] so
\[-|x-2|\leq 0\] and therefore
\[-|x-2|+4\leq 4\]

Answer 2

so your answer is B

Answer 3

B since │...│ always be positive(or 0), so a minus symbol makes it negative(or 0).