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:

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

l.jnl.j/n.m,lm,

step-by-step explanation: