CoreProPower Functions
Integer Power
f(x) = axⁿ
Overview
Power functions with integer exponents. Even powers are U-shaped; odd powers are S-shaped.
Domain
(-∞, +∞)
Range
Depends on n
Symmetry
Even if n even, Odd if n odd
Key Properties
1
Even n → even function (symmetric about y-axis)
2
Odd n → odd function (rotational symmetry)
3
n > 0 → passes through origin
4
Steeper curve as |n| increases
Key Insight
Even powers always give non-negative outputs; odd powers can be negative.
Visualize Integer Power
Interact with the graph, adjust parameters, and see how the function behaves in real time.