SOLUTION: Evaluate the given function in Problem 2, which is very much like Example 2 on p. 654, for the value specified. 2) f(x) = x^2 – 7x + 10 Find: a. f(0) b. f(5) c. f(-2)

Algebra ->  Linear-equations -> SOLUTION: Evaluate the given function in Problem 2, which is very much like Example 2 on p. 654, for the value specified. 2) f(x) = x^2 – 7x + 10 Find: a. f(0) b. f(5) c. f(-2)       Log On


   

Question 88527: Evaluate the given function in Problem 2, which is very much like Example 2 on p. 654, for the value specified.
2) f(x) = x^2 – 7x + 10
Find:
a. f(0)
b. f(5)
c. f(-2)
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
a)

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 Now combine like terms

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b)

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

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c)
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=28 Now combine like terms