Given the following absolute value function find the range. ƒ (x) = |x + 5| - 8

A) Range: [5,∞)

B) Range: [-5,∞)

C) Range: [-8,∞)

D) Range: [8,∞)

Question

Mathematics

Dylan Williams

19 August, 04:28

Given the following absolute value function find the range. ƒ (x) = |x + 5| - 8

A) Range: [5,∞)

B) Range: [-5,∞)

C) Range: [-8,∞)

D) Range: [8,∞)

+4

Answers (1)

Know the Answer?

Jeffery Joyce · Answer 1

The result of an absolute value operation is never negative. So the smallest that the expression |x+5| can be is 0.

Tacking on "-8" to |x+5| leads to |x+5|-8

The range of this is [-8, infinity) since the smallest |x+5|-8 can be is - 8. All I did was subtract 8 from the smallest value of |x+5|

Final Answer: choice C)

Given the following absolute value function find the range. ƒ (x) = |x + 5| - 8A) Range: [5,∞)B) Range: [-5,∞)C) Range: [-8,∞)D) Range: [8,∞)

Given the following absolute value function find the range. ƒ (x) = |x + 5| - 8

A) Range: [5,∞)

B) Range: [-5,∞)

C) Range: [-8,∞)

D) Range: [8,∞)