Power Functions and Variation on a Graphing Calculator

Power functions and their variations represent fundamental mathematical concepts, commonly encountered in algebra and calculus. When visualizing these functions on a graphing calculator, users gain insights into their behavior and characteristics. By inputting different parameters such as coefficients and exponents, individuals can explore how changes in these values impact the shape, direction, and intercepts of the function's graph. This visual representation serves as a powerful tool for understanding the relationship between variables and elucidating key properties of power functions, thereby aiding in problem-solving and mathematical analysis.

Questions
  • How do I graph a power function on a TI-84?
  • How do I find the power function that models a given set of ordered pairs?
  • How do I graph a fourth-root power function on a graphing calculator?
  • How do I graph a fifth-root power function on an Nspire?
  • How do I find the power function through a given set of points?
  • A shoe manufacture knows that the price to make shoes varies inversely as the square root of pairs made A. express this variation as a power function?
  • What is the value of #f(x)# among the following option?