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How do you write #3x+2y=6# in function notation?

Answer 1

Abigail Allen

To write the equation (3x + 2y = 6) in function notation, you can solve for (y) to express it as (y = f(x)).

First, subtract (3x) from both sides of the equation:

[2y = 6 - 3x]

Then, divide both sides by 2 to isolate (y):

[y = \frac{6 - 3x}{2}]

So, in function notation, (3x + 2y = 6) can be written as (y = \frac{6 - 3x}{2}).

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Answer 2

Abigail Allen

Function notation is (usually) of the form #f(x) = # an expression in terms of #x# where #f(x)# is a replacement for #y# in the standard form.

#3x+2y = 6#

#rarr 2y = 6-3x#

#rarr y = 3-3/2x#

#rarr f(x) =3-3/2x# (in function notation)

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.