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Question 975836: evaulate the piecewise function.
f(x)=
6 if x ≤3
3x-5 if x > 3
f(-4)=
f(0)=
f(3)=
f(4)=
f(6)=
Answer by jim_thompson5910(35256)   (Show Source):
You can put this solution on YOUR website! The piecewise function basically breaks down into
f(x) = 6 if x <= 3
OR
f(x) = 3x-5 if x > 3
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f(-4) = 6
because x = -4, which is less than or equal to 3, this means we use the first definition of f(x) above
f(0) = 6
x = 0 makes x <=3 true
same reasoning as f(-4)
f(3) = 6
same reasoning as f(0) and f(-4) above
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f(x) = 3x - 5
f(4) = 3*4 - 5
f(4) = 7
now we use the second definition since x = 4 makes x > 3 true.
f(x) = 3x - 5
f(6) = 3*6 - 5
f(6) = 13
we use the second definition since x = 6 makes x > 3 true.
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