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Question 204188This question is from textbook college mathematics
: How do i rewrite the equations in functional notation
This question is from textbook college mathematics
Answer by Theo(13342)   (Show Source):
You can put this solution on YOUR website! instead of y, you say f(x)
f is the function name.
it could be f, g, h, i, j, k, or any other letter but most of the time f, g, and h are used.
(x) is the argument name. it could be x, t, a, b, etc, but most of the time x is used, sometimes t, sometimes other letters.
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the argument is associated with the independent variable in your equation.
the name of the function is associated with the dependent variable.
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here's some equations (very very simple equations)
y = x
y = t
y = u
z = m
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you want to make functional notations for each of these equtions.
you want to use function f for the first, g for the second, h for the third, i for the fourth.
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your first equation:
y = f(x)
your second equation:
y = g(t)
your third equation:
y = h(u)
your fourth equation:
z = i(m)
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the letter in the parentheses is the argument of the function and is associated with the independent variable. this is usually tied to whatever the equation is using.
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the name of the function is tied to the dependent variable in that they are both referring to the same equation, but the name of the function is chosen by you and it is usually totally different from the dependent variable name. the name of the function could be meaningful or it could not. lots of times it's not.
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example where the name of the function means something:
Area of a Circle = a(r) = pi*r^2
the function name is a.
the independent variable is r.
r stands for the radius of a circle.
a stands for the area of a circle.
pi and 2 are constants in the equation.
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