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**Calculus Help, Please. (Domain, Range, Graphs)**

## Homework Statement

Determine its domain and range.

f(x) = {2x+1, x<0

{2x+2, x => 0

f(x) = {x^2 + 2, x<=1

{2x^2 + 2, x >1

f(x) = { |x| + 1, x<1

{ -x +1, x=>1

## Homework Equations

No equations necessary?

## The Attempt at a Solution

I'm thinking I could graph it or solve the f(x) by plugging in the x value indicated from the question. I don't really know.

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## Homework Statement

Please see the attachment file at the bottom of this post called "Graph".

The question is "Write the function whose graph is given in the figure."

## Homework Equations

Slope equation:

( Y2 - Y1 ) / (X2 - X1 )

## The Attempt at a Solution

(0 -(-1)) / (-2 -(-1)) = 1

(-1 -1) / (3-(-1)) = -1/2

So now I know the slopes of that might help me with getting the function. However, I'm stuck. Anybody know what to do next?

#### Attachments

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