Question

Find the range if y = 3x + 12 for x = {0.4, 0.6, 1.8, 2.2}.
A. {1.2, 1.8, 5.4, 6.6}
B. {13.2, 13.8, 17.4, 18.6}
C. {12.4, 12.6, 13.8, 14.2}

Answer 1

All you have to do here is plug those values in for x and choose the choice that matches up to the answers you get.
i.e the first one is

y=3(0.4)+12
1.2+12
13.2
With this being a multiple choice problem, that really should be enough to get your answer based on the choices you have, but it's always a good idea to go ahead and check them all to make sure all the domain inputs give you the listed range outputs.

Answer 2

So can you show me step by step and than show me the answer?

Answer 3

Well let's have you try the second one. The second value you have for x is 0.6 and your function is
3x+12
Try plugging 0.6 in for x and see what value you get.

Hint: the values you were given for x, x = {0.4, 0.6, 1.8, 2.2} are your domain.
The answers you get by plugging those numbers in are your range.

Answer 4

... :/ ?

Answer 5

So your function is y=3x+12
Your first input is 0.4 which I did for you.
y=3(0.4)+12
see how I placed the 0.4 in place of x and then solved the problem?
3*0.4 is 1.2
1.2+12 is 13.2
So the first number in our range is 13.2

So if we take the same function
3x+12
and we replace x with 0.6, what do we get?

Answer 6

Or we could break it down a little more.
What is 3*0.6?

Answer 7

1.8

Answer 8

And if we add 12 to that?

Answer 9

13.8

Answer 10

And that is the second number of our range.

Now we have established the first two numbers so we have
{13.2, 13.8, ?, ?}
So we just need the final two.
The next x value we have to work with is 1.8
What do we get when we plug that into
3x+12?

Answer 11

Well you narrowed it down, and i already have the answer. Thank you.

Answer 12

You're welcome.