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For the piecewise function, find the specified function value I-3. if x <2, f(r) = 2x-2 if r > 2a) Find f(2)(1)b) Find f(5)Which of the following is the graph...

Question

For the piecewise function, find the specified function value I-3. if x <2, f(r) = 2x-2 if r > 2a) Find f(2)(1)b) Find f(5)Which of the following is the graph of the above piecewise function (2)

For the piecewise function, find the specified function value I-3. if x <2, f(r) = 2x-2 if r > 2 a) Find f(2) (1) b) Find f(5) Which of the following is the graph of the above piecewise function (2)



Answers

Evaluate each piecewise-defined function. $f(x)=\left\{\begin{array}{ll}2 & \text { if } x<0 \\ 2-x & \text { if } 0 \leq x<2 \\ x+1 & \text { if } x \geq 2\end{array}\right.$ a. $f(-1)$ b. $f(1)$ c. $f(2)$

Here. We want to evaluate a negative to so negative two. We're going to use the first function because this for access less than zero. So we have two times negative too. Plus two, we have negative four plus two. So f of negative two is equal to native to f of zero sense we have zero is gonna be the second function in its equal to three.

Here were evaluated at a negative 0.5. So when you use the first function, because it's less than zero so two times negative five, which gives me negative one. So of negative 0.5 is negative, one of zero when he uses a gun function. Since it's between zero and two. So three minus zero is three. So zero is three, and then the last one we're gonna use the last function because it's two or greater. So absolute value of two is too of to us too.

Here. We're not evaluate F one. So we are going to use the second flexion, which is X squared. So we have one squared which gives me one. So one is one we want Evaluate F five were also want to use the second function. So we have five squared which is 25 so F five goals 25.

To graph a piece for his function You need to keep in mind to use the function definition according to the given values of X. Let us chronograph For x less than to the draft is 4 -6. So this is two. The graphics four minus six. This point will be four Cutting bikes is at four. Why equals two four minus six. Here it will be a hollow circle because the equality doesn't hold it doesn't hold it. X equal to do. It only holds forex listening to for X greater than equal to do is one plus two weeks. So let's find the value at X equals to do it is one plus two times 2 which is five. So I can see somewhere here. London. Mm Yeah, draft course like this. I can see it X three again. It is extra other than equal to do so it will be one plus two times three which is seven. So somewhere hell. This is that three. Just seven. This is five. So this graph is why was to one plus X goes in this direction. That's all


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