SOLUTION: Graph f(x)= {1-x,if x<0 2x-1, if x> with a line under it 0 Find f(3) and f(0) and f(-2) It’s all one question

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Question 1161110: Graph f(x)= {1-x,if x<0 2x-1, if x> with a line under it 0
Find f(3) and f(0) and f(-2)
It’s all one question
Answer by jim_thompson5910(35256) (Show Source):
You can put this solution on YOUR website!

The notation f(3) means f(x) when x = 3. We replace x with 3. Since x = 3, we need to look where this fits.

We have "if x < 0", but x = 3 is not smaller than zero. So we move onto the next piece which has . This second piece says "when , we have f(x) = 2x-1"

So we plug x = 3 into this to get
f(x) = 2x-1
f(3) = 2(3)-1
f(3) = 6-1
f(3) = 5

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Similarly, x = 0 makes true, so we use the second piece still

f(x) = 2x-1
f(0) = 2(0)-1
f(0) = 0-1
f(0) = -1

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Finally, we want to find the value of f(x) when x = -2. This time we don't use the second piece. This is because x = -2 makes true.

So,
f(x) = 1-x
f(-2) = 1-(-2)
f(-2) = 1+2
f(-2) = 3