Name: mohammed

Question:

a function of the form f(x)=ax^{n}, 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) = x^{1}, f(x) = x^{2}, f(x) = x^{3}, f(x) = x^{4}.

Now let a = -1 and plot the graphs of f(x) = -x^{1}, f(x) = -x^{2}, f(x) = -x^{3}, f(x) = -x^{4}

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

Penny