SOLUTION: here is the problem, but I am not sure if it is going to read correctly or not, any help would bea pparecaited as I have nearly losted it on this one: For the function f(x) find

Question 192947: here is the problem, but I am not sure if it is going to read correctly or not, any help would bea pparecaited as I have nearly losted it on this one:
For the function f(x) find f(-2) and graph the function.
f(x)= {3x+5 x< -2
{x+2 x>= -2
*note the bracket is just one large bracket on the left not two*
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!

Remember, a piecewise function is simply a function composed of different functions. These functions are defined on "pieces" of the domain. So in the case of the given function

the two equations and are defined for and respectively. So what this means is that you graph the equation ONLY if . Otherwise, you graph (since it is defined for )

So the graph will look like this:

Graph of the given piecewise function where the red line is (only drawn if ) the green line is (only drawn if )

Note: there is an open circle at (-2,-1) and a closed circle at (-2,0).

So because , this means that we'll use to find

Because the function is defined for values , this means that

Start with the second expression of the piecewise function

Plug in

Add

So
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