Functional Relationships

Virginia SOL MA.FR.2

Analyze the characteristics of exponential and logarithmic functions and sketch their graphs.

What students need to be able to do

  • Generalize characteristics of exponential and logarithmic functions from an equation or a graph.
  • Define e and estimate its value.
  • Convert between equations written in logarithmic and exponential form.
  • Use laws of exponents and properties of logarithms to solve equations and simplify expressions.
  • Represent contextual problems using exponential and logarithmic functions, including common and natural logarithms.
  • Sketch the graph of exponential and logarithmic functions and identify asymptotes, end behavior, intercepts, domain, and range.