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## Comparing Linear and Exponential Functions

#### 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  #### 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.

• Quiz 1 - If the ratios of multiple are same, the function is exponential.
• Quiz 2 - The graph of an exponential function has one horizontal asymptote. The given graph does not approach a horizontal asymptote, so it is not exponential.
• Quiz 3 - It is up to you to find the first differences in table.