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A Linear Equation is Always a Function

Author:
June 28th, 2023

Yes, all linear equations are functions, because the each equation has only one answer at a time.

No. A linear equation is always a function. Y = 3x +4 can only be one answer at a time. It can change by what ever x or y is substituted with, but it can’t have to outcomes with one substitution.

(Is this RIGHT)
f(x) = 12x + 15
f(x) = 12(12) + 15
(x) = 144 +15 = 159

Can you provide another example please?

Same with this one can you help?
Example:

F (x) = x² + 2

Possible inputs:

X = 2

X = 3.

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