## Comparing Linear and Exponential Functions

#### Aligned To Common Core Standard:

**High School** - HSF-LE.A.1a

How to Compare Linear and Exponential Functions?
Both Linear and Exponential functions are the types of functions that considers the power of independent variables. In other words, a linear function has the highest power 1 in its equation, i.e., y=mx+c. Regardless of the values of m and c, on a graph, the result will always be a straight line. By definition, m is the slope of the line, while c is the y-intercept of the function y.
On the other hand, an exponential function is the one where the power is non-trivial (not 0 or 1). The equation is usually written in the form of y=ax^{n}, where n is the non-trivial power. Here, a is the y-intercept of function y, while n is the base of the function.
A great collection of worksheets and lessons that teaches you how to compare linear and exponential forms of functions.

### Printable Worksheets And Lessons

- Interpret the Graphed
Function Step-by-step Lesson - You will learn to identify linear,
exponential, and quadratic functions by the shape trend of their
graphs.

- Guided Lesson
- In addition to interpreting graphs, you will need to make them
here first.

- Guided Lesson Explanation
- We teach you a step beyond graphing and understanding the differences
in tables.

- Practice Worksheet
- This is quite a long one to print out, but well worth it.

- Matching Worksheet
- I got a little selfish here. I always had students have difficulty
with these two graphing forms, so I focused on those.

#### Homework Sheets

We give you a function. You tell us if it is in linear, quadratic, or exponential form.

- Homework 1 - You can compare successive y-values to determine which type of function the table describes.
- Homework 2 - The graph of a quadratic function is a parabola that opens up or down. The given graph does not approach a parabola that opens downwards, so it is not quadratic.
- Homework 3 - Since the first differences are same, the function is linear.

#### Practice Worksheets

Determine the format based on a table and a graph.

- Practice 1 - Is this function linear, quadratic, or exponential?
- Practice 2 - What type of function does this graph show?
- Practice 3 - Don't let the straight line confuse you.

#### Math Skill Quizzes

Once again the goal is to determine the format.