Question 123016
a)


Let's evaluate f(0)



{{{f(x)=1x^2-7x+10}}} Start with the given function



{{{f(0)=1(0)^2-7(0)+10}}} Plug in {{{x=0}}}



{{{f(0)=1*0-7*0+10}}} Raise 0 to the 2nd power to get 0



{{{f(0)=0-7*0+10}}} Multiply 1 and 0 to get 0



{{{f(0)=0-0+10}}} Multiply 7 and 0 to get 0



{{{f(0)=0+10}}} Subtract 0 from 0 to get 0



{{{f(0)=10}}} Add 0 and 10 to get 10



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b)

Let's evaluate f(5)



{{{f(x)=1x^2-7x+10}}} Start with the given function



{{{f(5)=1(5)^2-7(5)+10}}} Plug in {{{x=5}}}



{{{f(5)=1*25-7*5+10}}} Raise 5 to the 2nd power to get 25



{{{f(5)=25-7*5+10}}} Multiply 1 and 25 to get 25



{{{f(5)=25-35+10}}} Multiply 7 and 5 to get 35



{{{f(5)=-10+10}}} Subtract 35 from 25 to get -10



{{{f(5)=0}}} Add -10 and 10 to get 0



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c)


Let's evaluate f(-2)



{{{f(x)=1x^2-7x+10}}} Start with the given function



{{{f(-2)=1(-2)^2-7(-2)+10}}} Plug in {{{x=-2}}}



{{{f(-2)=1*4-7*-2+10}}} Raise -2 to the 2nd power to get 4



{{{f(-2)=4-7*-2+10}}} Multiply 1 and 4 to get 4



{{{f(-2)=4--14+10}}} Multiply 7 and -2 to get -14



{{{f(-2)=18+10}}} Subtract -14 from 4 to get 18



{{{f(-2)=28}}} Add 18 and 10 to get 28