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

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


   

Question 122213: Evaluate each function for the value specified.

5. 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!
a)


Let's evaluate f%280%29


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


f%280%29=%280%29%5E2-7%280%29%2B10 Plug in x=0. In other words, replace each x with 0.


f%280%29=%280%29-7%280%29%2B10 Evaluate %280%29%5E2 to get 0.


f%280%29=%280%29%2B0%2B10 Multiply -7 and 0 to get 0


f%280%29=10 Now combine like terms




b)


Let's evaluate f%285%29


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


f%285%29=%285%29%5E2-7%285%29%2B10 Plug in x=5. In other words, replace each x with 5.


f%285%29=%2825%29-7%285%29%2B10 Evaluate %285%29%5E2 to get 25.


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


f%285%29=0 Now combine like terms





c)


Let's evaluate f%28-2%29


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


f%28-2%29=%28-2%29%5E2-7%28-2%29%2B10 Plug in x=-2. In other words, replace each x with -2.


f%28-2%29=%284%29-7%28-2%29%2B10 Evaluate %28-2%29%5E2 to get 4.


f%28-2%29=%284%29%2B14%2B10 Multiply -7 and -2 to get 14


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