SOLUTION: Given -x to the third power + x to the second power + 3x + 4 find f(–1), f(0), and f(1) please help i am a little confused on what exactly to find

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Question 127346: Given -x to the third power + x to the second power + 3x + 4 find
f(–1), f(0), and f(1)

please help i am a little confused on what exactly to find
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let's evaluate f(-1)

f%28x%29=-1x%5E3%2B1x%5E2%2B3x%2B4 Start with the given function


f%28-1%29=-1%28-1%29%5E3%2B1%28-1%29%5E2%2B3%28-1%29%2B4 Plug in x=-1


f%28-1%29=-1%2A-1%2B1%2A-1%5E2%2B3%2A-1%2B4 Raise -1 to the 3rd power to get -1


f%28-1%29=1%2B1%2A-1%5E2%2B3%2A-1%2B4 Multiply -1 and -1 to get 1


f%28-1%29=1%2B1%2A1%2B3%2A-1%2B4 Raise -1 to the 2nd power to get 1


f%28-1%29=1%2B1%2B3%2A-1%2B4 Multiply 1 and 1 to get 1


f%28-1%29=2%2B3%2A-1%2B4 Add 1 and 1 to get 2


f%28-1%29=2%2B-3%2B4 Multiply 3 and -1 to get -3


f%28-1%29=-1%2B4 Add 2 and -3 to get -1


f%28-1%29=3 Add -1 and 4 to get 3


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Now let's evaluate f(0)


f%28x%29=-1x%5E3%2B1x%5E2%2B3x%2B4 Start with the given function


f%280%29=-1%280%29%5E3%2B1%280%29%5E2%2B3%280%29%2B4 Plug in x=0


f%280%29=-1%2A0%2B1%2A0%5E2%2B3%2A0%2B4 Raise 0 to the 3rd power to get 0


f%280%29=0%2B1%2A0%5E2%2B3%2A0%2B4 Multiply -1 and 0 to get 0


f%280%29=0%2B1%2A0%2B3%2A0%2B4 Raise 0 to the 2nd power to get 0


f%280%29=0%2B0%2B3%2A0%2B4 Multiply 1 and 0 to get 0


f%280%29=0%2B3%2A0%2B4 Add 0 and 0 to get 0


f%280%29=0%2B0%2B4 Multiply 3 and 0 to get 0


f%280%29=0%2B4 Add 0 and 0 to get 0


f%280%29=4 Add 0 and 4 to get 4



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Now let's evaluate f(1)


f%28x%29=-1x%5E3%2B1x%5E2%2B3x%2B4 Start with the given function


f%281%29=-1%281%29%5E3%2B1%281%29%5E2%2B3%281%29%2B4 Plug in x=1


f%281%29=-1%2A1%2B1%2A1%5E2%2B3%2A1%2B4 Raise 1 to the 3rd power to get 1


f%281%29=-1%2B1%2A1%5E2%2B3%2A1%2B4 Multiply -1 and 1 to get -1


f%281%29=-1%2B1%2A1%2B3%2A1%2B4 Raise 1 to the 2nd power to get 1


f%281%29=-1%2B1%2B3%2A1%2B4 Multiply 1 and 1 to get 1


f%281%29=0%2B3%2A1%2B4 Add -1 and 1 to get 0


f%281%29=0%2B3%2B4 Multiply 3 and 1 to get 3


f%281%29=3%2B4 Add 0 and 3 to get 3


f%281%29=7 Add 3 and 4 to get 7