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Question 821571: Piecewise confuse me. Please help me understand this equation.
Evaluate the piecewise defined function at the indicated values.
f(x)= { x^2+2x if x ≤ -1
{ x if -1< x ≤ 1
{ 1 if x > 1
f(-4), f(-2/3), f(-1), f(0), f(25)
Please help.
Answer by TimothyLamb(4379)   (Show Source):
You can put this solution on YOUR website! ---
just break it down into the different "pieces", that's what piece-wise means:
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when x <= -1 use the first piece-wise function: f(x) = (x^2 + 2x)
why?
because the function definition tells you to use the first piece when x <= 1
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so use (x^2 + 2x) to calculate f(-4) and f(-2/3) and f(-1) because those are all the values of x <= -1 that the problems wants solved.
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for f(0) use the second piece-wise function: f(x) = (x)
why?
you guessed it, because x=0 and the function definition tells you to use the second piece when -1 < x <= 1
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for f(25) use the third piece-wise function: f(x) = (1)
why?
because the function definition tells you to use the third piece when x > 1
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you can do the math on a calculator
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