Power Function Graphs

Use the sliders to adjust the values of k and p to explore the shape and behavior of power functions.

For every case of k and p answer the questions: As x increases what happens to the value of f(x)? As x decreases what happens to the value of f(x)? For what values of k and p do the values of f(x) increase? For what values of k and p do the values of f(x) decrease?