Question

11.
The domain of f(x) is [4, 5, 6]. If f(x) = 3x + 2, what is the range?​

Answer 1

The range of the function is:

Range R = {14, 17, 20}

Explanation:

Given the function

`f(x) = 3x + 2`

We also know that range is the set of values of the dependent variable for which a function is defined.

In other words,

• Range refers to all the possible sets of output values on the y-axis.

We are given that the domain of the function is:

Domain D = {4, 5, 6}

Now,

substituting x = 4 in the function

f(4) = 3(4) + 2

f(4) = 12 + 2

f(4) = 14

substituting x = 5 in the function

f(5) = 3(5) + 2

f(5) = 15 + 2

f(5) = 17

substituting x = 6 in the function

f(6) = 3(6) + 2

f(6) = 18 + 2

f(6) = 20

Thus, we conclude that:

at x = 4, y = 14

at x = 5, y = 17

at x = 6, y = 20

Thus, the range of the function is:

Range R = {14, 17, 20}