SOLUTION: Please help me with question. I do not understand it at all. Thanks so much for your help. Find the indicated outputs for f(x)=2xto the second power -2x f(0)= f(-1)= f(2)=

Algebra ->  Functions -> SOLUTION: Please help me with question. I do not understand it at all. Thanks so much for your help. Find the indicated outputs for f(x)=2xto the second power -2x f(0)= f(-1)= f(2)=       Log On


   

Question 128924: Please help me with question. I do not understand it at all. Thanks so much for your help.

Find the indicated outputs for f(x)=2xto the second power -2x
f(0)=
f(-1)=
f(2)=
thanks again for the help.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
Let's evaluate f(0)

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


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


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


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


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


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



-------------------
Let's evaluate f(-1)



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


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


f%28-1%29=2%2A1-2%2A-1 Raise -1 to the 2nd power to get 1


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


f%28-1%29=2--2 Multiply 2 and -1 to get -2


f%28-1%29=4 Subtract -2 from 2 to get 4



-------------------
Let's evaluate f(2)



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


f%282%29=2%282%29%5E2-2%282%29 Plug in x=2


f%282%29=2%2A4-2%2A2 Raise 2 to the 2nd power to get 4


f%282%29=8-2%2A2 Multiply 2 and 4 to get 8


f%282%29=8-4 Multiply 2 and 2 to get 4


f%282%29=4 Subtract 4 from 8 to get 4