#### Math - 2018-19

# MA.2 - Exponential and Logarithmic Functions

MA.2The student willinvestigateandidentifythe characteristics of exponential and logarithmic functions tographthe function,solveequations, andsolvepractical problems.

*Adopted: 2016*

### BIG IDEAS

### UNDERSTANDING THE STANDARD

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

population growth;

compound interest;

depreciation/appreciation;

Richter scale; and

radioactive decay.### ESSENTIALS

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

·
MA.2_{1} **Identify**
exponential functions from an equation or a graph.

·
MA.2_{2} **Identify**
logarithmic functions from an equation or a graph.

·
MA.2_{3} **Define**
*e*, and know its approximate value.

·
MA.2_{4} **Convert**
between equations written in logarithmic and exponential form.

·
MA.2_{5} **Identify**
common and natural logarithms, given an equation or practical situation.

·
MA.2_{6} **Use**
laws of exponents and logarithms to **solve**
equations and **simplify** expressions.

·
MA.2_{7} **Model**
practical problems, using exponential and logarithmic functions.

·
MA.2_{8} **Graph**
exponential and logarithmic functions and **identify**
asymptotes, end behavior, intercepts, domain, and range.

### KEY VOCABULARY

*Updated: May 29, 2018*