#### Math - 2018-19

# MA.5 - Continuity of Functions

MA.5The student willinvestigateanddescribethe continuity of functions.

*Adopted: 2016*

### BIG IDEAS

### UNDERSTANDING THE STANDARD

· Continuous and discontinuous functions can be identified by their equations or graphs.

· Discontinuity can be described as point (removable), jump or infinite.

·
A function, *f*,
is continuous at a point *c* if and
only if

exists exists

### ESSENTIALS

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

·
MA.5_{1} **Describe**
continuity of a function.

·
MA.5_{3} **Classify**
types of discontinuity.

·
MA.5_{2} **Investigate**
the continuity of functions including absolute value, step, rational, and
piecewise functions, using graphical and algebraic methods.

·
MA.5_{4} **Prove**
continuity at a point, using the definition of limits.

### KEY VOCABULARY

*Updated: May 29, 2018*