Graphing Power Functions

Graphing power functions is a fundamental aspect of understanding mathematical relationships that involve variables raised to a constant exponent. These functions, expressed in the form f(x) = ax^n, where 'a' is a constant and 'n' is a positive or negative exponent, exhibit distinctive patterns on a coordinate plane. Analyzing the behavior of power functions through graphing provides insights into their growth or decay rates, turning points, and asymptotic behavior. Mastery of this graphical representation enhances one's ability to interpret and manipulate power functions, contributing to a deeper comprehension of algebraic concepts and their real-world applications.

Questions
  • What does f of x equal to e to the power of x minus 4 equal in graph form?
  • What is the graph of #f(x) = -x^5#?
  • What is the graph of #f(x)=x^(2/3)#?
  • What is the graph of #f(x)=x^-4#?
  • What can power functions represent?
  • What is the graph of #f(x) = 3x^4#?
  • What is a power function?
  • What is the graph of a power function?
  • What if the exponent in a power function is negative?
  • How to graph cubics?
  • How to sketch the graph #f(x) = e^(x) + 1# ?