f(x)=3x^2+2x-4 find the function? how will I solve it?
split the middle term
how to solve it? can you do the first step??
do I have to put the value of x?
how it is to prove its a function
no srry it can be done by quadratic formula
3x^2-2x-4=0 9x-2-2x-4=0 +2x +2x 11x-2-4=0 +2 +2 11x-4=0 +4 +4 11x=4 ------ ------ 11 11 x= 4 hope u got it
but I have given the value of x
so wat we have to find ??
I have given x=0 . x=1 , x=-1 , x=-x ? I am so confused . Do I have to put all the values
first of all u tell me u r in which class ?
I am in algebra and trignomerty
ok then u have to put all the values of x
plz give medals
thanxx.
-f(x)
so there are 6 values of x .so I have to put it six times?
and solve it
yess you have to do it its easy, it will take hardly 10 minutes
what to do after finding the answerS? make a graph?
is it given in the question to make a graph ???
f(-1)=3x^2-2x-4
yes u have to do it like this
but put the values of x also in equation
I did
ok
thats it
f(x)=3x^2+2x-4 is shorthand f(x) is a number that depends on what x is. change x, and you get a different f(x) to find f(x) when x=0, f(0) you replace x in the definition and do the arithmetic f(0)= 3*0^2 + 2*0-4 (replace x with 0) 0^2 means 0*0 which is 0. 3*0 is 0. the 2nd term 2*0 is 0 so f(0)= 0+0-4= -4 (0,-4) is a point on this curve. (if you want to plot it) do the same for f(1):
when x=1 then 5, -4 correct
when x=1 then f(1)= 3*1*1+2*1-4 = 3+2-4 that simplifies to 5-4= 1 so f(1)=1 (1,1) is another pair
try f(-1)
when x is -x>
sorry when x is -x?
try f(-1)
that is -1, -3
when x is -x?
3(-1)^2+2(-1)-4
3-2-4
and 3-2-4 is -3 Yes. so I take that back. You are correct. x = -x is only true for x=0 0=-0
they want you to put -x into the equation f(x)= 3x^2 + 2x -4 so replace x with -x: f(-x)= 3*(-x)*(-x)+ 2*(-x) -4 f(-x)= 3x^2 -2x -4
Any more ?
after finding all the values do we have to make a graph or no?
It depends on what the question is. Your function is a quadratic, representing a parabola.
find function. Thats my question
3x^2-2x-4 is the answer or do I have to solve more?
f(x)= 3x^2-2x-4 is a function. Without more context, I can't give any more insight. If you want a plot, you can use the points you found. Check against wolfram: http://www.wolframalpha.com/input/?i=f%28x%29%3D3x%5E2%2B2x-4+
so is this the answer?
Does this question come with a chapter? Did they show an example? If someone asked me "find the function" and showed me f(x)= 3x^2-2x-4 I would say that is a parabola with a minimum value of -13/3 at x= -1/3 But if I saw what you were studying, I might answer differently.
I am looking in the book and yes the question ends here in examples .
can you figure out what they want?
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