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Create your own function $\mathrm{f}(x)$ and show that $\mathrm{f}(x)=2 \mathrm{f}(x)$ . Explain why this result is true in general.

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Algebra

Chapter 4

RELATIONS AND FUNCTIONS

Section 6

The Algebra of Functions

An Introduction to Geometry

Functions

Linear Functions

Polynomials

Campbell University

Baylor University

University of Michigan - Ann Arbor

Lectures

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Okay, So for this exercise, we need to come up with an example of a function f for Vex where f of X equals two after vex. And actually, the only function that is ever going to satisfy these conditions is f of X equals zero. So if we do that, we get zero equals two times zero, which is equal to zero. And this result is always going to be true in general, for any value in front of the f of X, not just to it could be 10 could be negative 100. But because zero times any number is always going to be zero, Um, we are going to, uh, get a result that stays consistent regardless of our choice of coefficient.

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