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Question 835025: Please help. I posted this question a few minutes ago, and forgot to add some information to my question.
Here is the complete math problem I am struggling with:
f={(4,-3),(-2,0),(2,2/3),(π,0)} and g={(1,-3),(-2,-3),(1/2,1)}find the values of f and g
f(4)=
f(π)=
g(1/2)=
g(-2)=
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! if i understand this correctly, then it's a simple matter of finding the value of y for the given value of x.
in functional notation, the equation of y = x^2 is replace by the equation of f(x) = x^2
the functional notation replaces the y with f(x).
f is the function name.
x is the argument.
the argument of the function is the independent variable that is being analyzed.
if the function was y = m^2 + 3m, then functional notation would replace the y with f(m) = m^2 + 3m
in the first equation of f(x) = x^2, the dependent variable is f(x) and the independent variable is x.
in the second equation of f(m) = the dependent variable is f(m) and the independent variable is m.
note that, without functional notation, you would have shown y = x^2 in the first equation and y would have been the dependent variable and x would have been the independent variable.
similarly, without functional notation, you would have shown y = m^2 + 3m in the second equation and y would have bveen the dependent variable and x would have been the independent variable.
all you do with functional notation is replace the y with f(x) in the first equation and replace the y with f(m) in the second equation.
with functional notation, solving the equation for a given value is slightly different but you are doing the same thing.
suppose your equation is y = x^2 and you want to solve the equation for x = 2.
you would simply say that y = (2)^2 when x is equal to 2.
functional notation makes this easier to show.
instead of saying f(x) = (2)^2 when x is equal to 2, you would say f(2) = (2)^2.
nothing real mysterious about it.
now to your problem.
they are not showing you equations.
they are showing you points.
the function is defined as a set of point pairs.
each point pair has an x value and a y value.
the point pair of (4,-3) means that the value of y is equal to -3 when the value of x is equal to 4.
in functional notation, this would be shown as f(4) = -3.
get it?
hopefully you do.
so the problem you are working on should simply be (if my assumption is correct) as follows:
the question is:
f={(4,-3),(-2,0),(2,2/3),(π,0)} and g={(1,-3),(-2,-3),(1/2,1)}
find the values of f and g when:
f(4)=
f(π)=
g(1/2)=
g(-2)=
the solution is:
f(4) = -3
f(π) = 0
g(1/2) = 1
g(-2) = -3
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