SOLUTION: Given f(x) = –xTO THE POWER OF 3 – 3x TO THE POWER OF 2 – x + 5, find f(–2), f(0), and f(2) Given f(x) = xTO THE POWER OF 2 – x + 2, find f(0).

Algebra ->  Linear-equations -> SOLUTION: Given f(x) = –xTO THE POWER OF 3 – 3x TO THE POWER OF 2 – x + 5, find f(–2), f(0), and f(2) Given f(x) = xTO THE POWER OF 2 – x + 2, find f(0).       Log On


   

Question 89304: Given f(x) = –xTO THE POWER OF 3 – 3x TO THE POWER OF 2 – x + 5, find f(–2), f(0), and f(2)

Given f(x) = xTO THE POWER OF 2 – x + 2, find f(0).

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
"Given f(x) = –xTO THE POWER OF 3 – 3x TO THE POWER OF 2 – x + 5, find f(–2), f(0), and f(2)"


Lets find f%28-2%29

f%28x%29=-x%5E3-3x%5E2-x%2B5 Start with the given polynomial


f%28-2%29=-%28-2%29%5E3-3%28-2%29%5E2-%28-2%29%2B5 Plug in x=-2


f%28-2%29=-%28-8%29-3%28-2%29%5E2-%28-2%29%2B5 Raise -2 to the third power to get -8


f%28-2%29=-%28-8%29-3%284%29-%28-2%29%2B5 Raise -2 to the second power to get 4


f%28-2%29=-%28-8%29-12-%28-2%29%2B5 Multiply 3 by 4 to get 12


f%28-2%29=8-12%2B2%2B5 Negate any negatives


f%28-2%29=3 Now combine like terms



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Lets find f%280%29

f%28x%29=-x%5E3-3x%5E2-x%2B5 Start with the given polynomial


f%280%29=-%280%29%5E3-3%280%29%5E2-%280%29%2B5 Plug in x=0


f%280%29=-%280%29-3%280%29%5E2-%280%29%2B5 Raise 0 to the third power to get 0


f%280%29=-%280%29-3%280%29-%280%29%2B5 Raise 0 to the second power to get 0


f%280%29=-%280%29-0-%280%29%2B5 Multiply 3 by 0 to get 0


f%280%29=-0-0-0%2B5 Negate any negatives


f%280%29=5 Now combine like terms


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Lets find f%282%29


f%28x%29=-x%5E3-3x%5E2-x%2B5 Start with the given polynomial


f%282%29=-%282%29%5E3-3%282%29%5E2-%282%29%2B5 Plug in x=2


f%282%29=-%288%29-3%282%29%5E2-%282%29%2B5 Raise 2 to the third power to get 8


f%282%29=-%288%29-3%284%29-%282%29%2B5 Raise 2 to the second power to get 4


f%282%29=-%288%29-12-%282%29%2B5 Multiply 3 by 4 to get 12


f%282%29=-8-12-2%2B5 Negate any negatives


f%282%29=-17 Now combine like terms

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"Given f(x) = xTO THE POWER OF 2 – x + 2, find f(0)."



Lets find f%280%29

f%28x%29=x%5E2-x%2B2 Start with the given polynomial


f%280%29=%280%29%5E2-%280%29%2B2 Plug in x=0


f%280%29=%280%29-%280%29%2B2 Raise 0 to the second power to get 0


f%280%29=%280%29-0%2B2 Negate any negatives


f%280%29=2 Now combine like terms