SOLUTION: This question is from the textbook Hutchison, D., Bergman, B., Baratto, S., & Hoelzle, L. (2005). Beginning algebra (6th ed.). New York: McGraw-Hill. (I do not have the actual boo

Algebra ->  Graphs -> SOLUTION: This question is from the textbook Hutchison, D., Bergman, B., Baratto, S., & Hoelzle, L. (2005). Beginning algebra (6th ed.). New York: McGraw-Hill. (I do not have the actual boo      Log On


   

Question 123016: This question is from the textbook Hutchison, D., Bergman, B., Baratto, S., & Hoelzle, L. (2005). Beginning algebra (6th ed.). New
York: McGraw-Hill. (I do not have the actual book so no ISBN #)
The question is asking to evaluate each function for the value specified.
f(x)=Xsquared-7x+10; find (a) f(0), (b) f(5), and (c) f(-2).
I'm sorry but I don't even know how to start this one. Any explanation of the process would be helpful and very, very appreciated. Thanks!
Found 2 solutions by jim_thompson5910, stanbon:
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
a)

Let's evaluate f(0)


f%28x%29=1x%5E2-7x%2B10 Start with the given function


f%280%29=1%280%29%5E2-7%280%29%2B10 Plug in x=0


f%280%29=1%2A0-7%2A0%2B10 Raise 0 to the 2nd power to get 0


f%280%29=0-7%2A0%2B10 Multiply 1 and 0 to get 0


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


f%280%29=0%2B10 Subtract 0 from 0 to get 0


f%280%29=10 Add 0 and 10 to get 10


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b)
Let's evaluate f(5)


f%28x%29=1x%5E2-7x%2B10 Start with the given function


f%285%29=1%285%29%5E2-7%285%29%2B10 Plug in x=5


f%285%29=1%2A25-7%2A5%2B10 Raise 5 to the 2nd power to get 25


f%285%29=25-7%2A5%2B10 Multiply 1 and 25 to get 25


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


f%285%29=-10%2B10 Subtract 35 from 25 to get -10


f%285%29=0 Add -10 and 10 to get 0


-----------------------------
c)

Let's evaluate f(-2)


f%28x%29=1x%5E2-7x%2B10 Start with the given function


f%28-2%29=1%28-2%29%5E2-7%28-2%29%2B10 Plug in x=-2


f%28-2%29=1%2A4-7%2A-2%2B10 Raise -2 to the 2nd power to get 4


f%28-2%29=4-7%2A-2%2B10 Multiply 1 and 4 to get 4


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


f%28-2%29=18%2B10 Subtract -14 from 4 to get 18


f%28-2%29=28 Add 18 and 10 to get 28

Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
f(x)=X^2-7x+10; find
(a) f(0) = 0^2-7*0+10 = 10
(b) f(5) = 5^2-7*5+10 = 0
(c) f(-2)= (-2)^2-7*-2+10 = 28
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Cheers,
Stan H.