Question

Find the range of the function y=1/2x+3 when the domain is (-2,0,2,4)

Answer 1

Answer:

{2,3,4,5}

Step-by-step explanation:

Domain is the set of x-values for which the function is defined.

Range is the set of y-values for which the function is defined (set of values corresponding to the set of x-values).

The function is given as  $y=\frac{1}{2}x+3$

The domain is (-2,0,2,4)

That means, we need to plug-in the 4 numbers given into x of the function and find the 4 corresponding y values (the range).

So, lets do this:

putting x = -2,

$y=\frac{1}{2}(-2)+3=2$

putting x = 0

y = 3

putting x = 2

$y=\frac{1}{2}(2)+3=4$

putting x= 4

$y=\frac{1}{2}(4)+3=5$

Thus, the range is {2,3,4,5}