SOLUTION: I need help solving evaluate each function for the value specified thank you in advance f (x) = x2 -7x +10; find (a) f (0), (b) f (5), and (c) f (-2)

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Question 91393: I need help solving evaluate each function for the value specified thank you in advance
f (x) = x2 -7x +10; find (a) f (0), (b) f (5), and (c) f (-2)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!



Lets evaluate f%280%29

f%28x%29=x%5E2-7x%2B10 Start with the given polynomial


f%280%29=%280%29%5E2-7%280%29%2B10 Plug in x=0


f%280%29=%280%29-7%280%29%2B10 Raise 0 to the second power to get 0


f%280%29=%280%29-0%2B10 Multiply 7 by 0 to get 0


f%280%29=10 Remove any zero terms


So when x=0, f%280%29=10


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Lets evaluate f%285%29

f%28x%29=x%5E2-7x%2B10 Start with the given polynomial


f%285%29=%285%29%5E2-7%285%29%2B10 Plug in x=5


f%285%29=%2825%29-7%285%29%2B10 Raise 5 to the second power to get 25


f%285%29=%2825%29-35%2B10 Multiply 7 by 5 to get 35


f%285%29=0 Now combine like terms


So when x=5, f%285%29=0

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Lets evaluate f%28-2%29

f%28x%29=x%5E2-7x%2B10 Start with the given polynomial


f%28-2%29=%28-2%29%5E2-7%28-2%29%2B10 Plug in x=-2


f%28-2%29=%284%29-7%28-2%29%2B10 Raise -2 to the second power to get 4


f%28-2%29=%284%29--14%2B10 Multiply 7 by -2 to get -14


f%28-2%29=4%2B14%2B10 Negate any negatives


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


So when x=-2, f%28-2%29=28

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