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  3. not all operators are commutative, namely, a*b = b

Not all operators are commutative, namely, a*b = b*a. Consider functions under the operators addition, subtraction, multiplication,...

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Basic Math

Not all operators are commutative, namely, a*b = b*a.

Consider functions under the operators addition, subtraction,multiplication, division, and composition.

Pick two of the functions and use a grapher (like Desmos) tograph the functions under the operators. If the functions arecommutative under the operator, the graphs should be identical(overlap everywhere) when you change the order in which thefunctions are entered with the operator. Determine which operatorsseem to the commutative and which operators seem not to becommutative using graphs as evidence. Explain what you learn.

Some functions you might use are below.

F(x)  = 2x + 1

G(x) = x^2 +2x +1

H(x) = sin(x)

I(x) = e^x

J(x) = log(x)

K(x) = 1/x

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