Name: mohammed

a function of the form f(x)=axn, where a doesn't equal 0 and n is a positive integer is called a power function . how is the exponent in the equation of a power function related to the symmetry of its graph?

Hi Mohammed,

I suggest that you try some experiments. Let a = 1 and plot the graphs of f(x) = x1, f(x) = x2, f(x) = x3, f(x) = x4.

Now let a = -1 and plot the graphs of f(x) = -x1, f(x) = -x2, f(x) = -x3, f(x) = -x4

What can you conclude about the symmetry of the graphs? How do the graphs change for other values of a?

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