Question

Please help me out ill give u a medal with answer olus explanation interested?

Answer 1

Please just post a question if you have it. You don't have to "promise medals" and "entice" people to help.

Answer 2

Ok just saying

Answer 3

F (x) = { -x if x < or equal to 3
{ 2 if x > 3

I honestly dont kno the first step whats should I do?

Answer 4

@DebbieG

Answer 5

What are you supposed to do? You just stated a function, not a question.

ARe you supposed to graph it?

Answer 6

Yes ma'am and I should Identify the domain and range

Answer 7

Its different than last time

Answer 8

\(y=-x\) for \(x \le 3\)
\(y=2\) for \(x>3\)

This is just a piecewise function. It just means that the function is defined by 2 different equations, depending on what part of the domain you are looking at.

So for \(x \le 3\), you want the line \(y=-x\) (do you know how to graph that?)

At the endpoint of that section of the domain, x=3, you will have a "solid dot" on this part of the graph, and the line will "end" there.

Answer 9

Then on the other part of the domain, the function is given by y=2, which is just a hortizontall line at y=2. So you start that part of the function at x=3, y=2, BUT with an "open circle" at that point, (3,2), indicating that THAT point is NOT on the function (since the function is defined by the other equation for x=3, hence you have the point (3, -3) already on the graph). But then for all x>3, you have the line y=2 for the graph.

Answer 10

Domain is all the x values, and since you have a definition for the function for ALL real numbers, what is the domain?

Range - easiest to see if you look at your graph. Remember, range is all the possible y values. So look at what y coordinates are included somewhere on the graph of the function (remember where the function will continue towards + or - infinity).

Answer 11

Thank you so much!

Answer 12

Ok I got the graphing point

Answer 13

I need to make a table of x and f (x)

Answer 14

@DebbieG

Answer 15

Yes?

Answer 16

My teacher usually graphs it then she puts a table I wish I could show u how tho

Answer 17

She puts x then f (x) and starts plugging in numbers

Answer 18

Something like this? I did the first couple of values, can you finish it?

Answer 19

Yea but wat did u plug the numbers with to get these answers

Answer 20

The function. The rule for f(x).

If \(x \le3\) then y=-x
if \(x >3\) then y=2

THAT'S f(x). It's a function ---- it takes an input x, and applies a "rule" to it (the equation) to give the "output", y.

Answer 21

I dont c the fx part

Answer 22

What do you mean?

You know what a function is, right?

If I said: graph the function \(\Large f(x)=2x+1\) you would know how to do that?

Answer 23

I mean, you're studying piecewise functions, so I've been assuming that you understand the basic concept of a function. If that's not the case you need to say so.

Answer 24

Yes I do know thanx anyway

Answer 25

OK, then I do not know what you mean by "I dont c the fx part". I don't know what you aren't understanding. But I see you are working with someone else on a very similar problem, so maybe just focus on that. If you understand how to do the other one, you should be able to do this one too.

Answer 26

I guess so