# MA.2 - Exponential and Logarithmic Functions

MA.2  The student will investigate and identify the characteristics of exponential and logarithmic functions to graph the function, solve equations, and solve practical problems.

### UNDERSTANDING THE STANDARD

·  Exponential and logarithmic functions are inverse functions.

·  Some examples of appropriate models or situations for exponential and logarithmic functions are:

­  population growth;

­  compound interest;

­  depreciation/appreciation;

­  Richter scale; and

### ESSENTIALS

The student will use problem solving, mathematical communication, mathematical reasoning, connections, and representations to

·  MA.21  Identify exponential functions from an equation or a graph.

·  MA.22  Identify logarithmic functions from an equation or a graph.

·  MA.23  Define e, and know its approximate value.

·  MA.24  Convert between equations written in logarithmic and exponential form.

·  MA.25  Identify common and natural logarithms, given an equation or practical situation.

·  MA.26  Use laws of exponents and logarithms to solve equations and simplify expressions.

·  MA.27  Model practical problems, using exponential and logarithmic functions.

·  MA.28  Graph exponential and logarithmic functions and identify asymptotes, end behavior, intercepts, domain, and range.

### KEY VOCABULARY

Updated: May 29, 2018