Question

What is the range of f(x) = |x| 7?

O −7 ≤ y < [infinity]
O − [infinity] < y ≤ −7
O 0 ≤ y < [infinity]
O 7 ≤ y < [infinity]

Answer 1

The range of the function f(x) = |x| - 7 is y < -7 or y >= 0.

Step-by-step explanation:

The range of the function f(x) = |x| - 7 is y < -7 or y ≥ 0.

When we take the absolute value of any number, the result is always positive. In this function, we subtract 7 from the absolute value. So, if x is negative, the result would be negative, but if x is positive, the result would be positive.

For example, if x = -4, then f(x) = |-4| - 7 = 4 - 7 = -3. And if x = 5, then f(x) = |5| - 7 = 5 - 7 = -2.