Question

What is the range of the function f(x) = 1/2 x- 2 when the domain is { 2,4,6}

Answer 1

Answer:

The range of f(x) is:

$y\in\{-1,0,1\}$

Step-by-step explanation:

Domain and Range

Given a function y=f(x), the domain of f(x) is the set of values that x can take and the range of f(x) is the set of values that f gets when x is in the domain.

We have the function:

$\displaystyle f(x) = \frac{1}{2} x-2$

And the domain is

$x\in\{2,4,6\}$

Compute the range by assigning each value of x:

For x=2:

$\displaystyle f(2) = \frac{1}{2} \cdot 2-2=1-2=-1$

$\displaystyle f(2) = -1$

For x=4:

$\displaystyle f(4) = \frac{1}{2} \cdot 4-2=2-2=0$

$\displaystyle f(4) = 0$

For x=6:

$\displaystyle f(6) = \frac{1}{2} \cdot 6-2=3-2=1$

$\displaystyle f(6) = 1$

The range of f(x) is:

$y\in\{-1,0,1\}$