I need help with a piece wise function. f(x)= {x^2, x 1} Graph f(x)

Question

I need help with a piece wise function.
f(x)= {x^2, x < or equal to 1}
        {2x+1, x >1}
Graph f(x)

loser66 · Answer

Where are you stuck?

mathmale · Answer

First, can you explain what "piecewise function" means to you? 
Next, can you graph any part of the given piecewise function yourself?
As Loser66 asks, "Where are you stuck?"

gm100299 · Answer

I started by graphing each piece individually I had turned it in but my teacher gave it back and said to try again. I can do the math I'm just not sure if I'm doing it right.

satellite73 · Answer

from $-\infty$ to $1$ it is the parabola $y=x^2$

satellite73 · Answer

from $1$ on, it is the line $y=2x+1$ a line with slope 2,

gm100299 · Answer

So, the first part would be parabola x^2, it would start at -inf and would stop at 1, right?

gm100299 · Answer

And the second part would start at 1 and continue on y = 2x+2 at the slope of 2?

loser66 · Answer

yup

gm100299 · Answer

Is this what it should look like?

loser66 · Answer

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