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=axn, 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
- Guided Lesson
- In addition to interpreting graphs, you will need to make them
- Guided Lesson Explanation
- We teach you a step beyond graphing and understanding the differences
- 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.
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.
Determine the format based on a table and a graph.
Math Skill Quizzes
Once again the goal is to determine the format.