What are the domain and range of f(x) = |x + 6|? Domain: (negative infinity, infinity); range: f(x) > 0 domain: x < -6; range: (negative infinity, infinity) domain: x > -6; range: (negative infinity, infinity) domain: (negative infinity, infinity) ; range: f(x) < 0

Domain:

Range:

Step-by-step explanation:

Given

Required

The domain and the range

First, we calculate the domain

The above function does not have roots or fraction, where x is the denominator. This means that the domain is all real numbers, i.e.

The range

The function is an absolute function; So, the minimum value is 0.

Hence, the range is:

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i

47

step-by-step explanation: