SOLUTION: Evaluate each function for the value specified. f(x)=x2-7x+10;find (a)f(0),(b)f(5),and (c)f(-2)

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Question 103989: Evaluate each function for the value specified.
f(x)=x2-7x+10;find (a)f(0),(b)f(5),and (c)f(-2)
Answer by jim_thompson5910(21667) About Me  (Show Source):
You can put this solution on YOUR website!




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 Evaluate %28-2%29%5E2 to get 4

f%28-2%29=4%2B14%2B10 Multiply -7 and -2 to get 14

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


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


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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 Evaluate 1%280%29%5E2 to get 10

f%280%29=00%2B10 Multiply -7 and 0 to get 0

f%280%29=10 Now combine like terms


So when x=0, f%28x%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 Evaluate 1%285%29%5E2 to get 125

f%285%29=25-35%2B10 Multiply -7 and 5 to get -35

f%285%29=0 Now combine like terms


So when x=5, f%28x%29=0