Name: mohammed

Question:
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?

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?