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What is an example of a linear equation written in function notation?

Answer 1

We can do more than giving an example of a linear equation: we can give the expression of every possible linear function.

A function is said to be linear if the dipendent and the indipendent variable grow with constant ratio. So, if you take two numbers #x_1# and #x_2#, you have that the fraction #{f(x_1)-f(x_2)}/{x_1-x_2}# is constant for every choice of #x_1# and #x_2#. This means that the slope of the function is constant, and thus the graph is a line.

The equation of a line, in function notation, is given by #y=ax+b#, for some #a# and #b \in \mathbb{R}#.

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Answer 2

Savannah Anderson

An example of a linear equation written in function notation is ( f(x) = 3x - 2 ).

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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.