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The linear function changes by an amount which is directly proportional to the size of the interval. The exponential changes by an amount which is proportional to the area underneath the curve. In the latter case, the change is approximately equal to the size of the interval multiplied by the average value of the function over the interval.

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Related Questions

What are similarities between linear and exponential functions?

Linear and exponential functions are both types of mathematical functions that describe relationships between variables. Both types of functions can be represented by equations, with linear functions having a constant rate of change and exponential functions having a constant ratio of change. Additionally, both types of functions can be graphed on a coordinate plane to visually represent the relationship between the variables.


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Nonlinear relations are mathematical relationships between variables where the graph of the relationship is not a straight line. This means that as one variable changes, the other variable does not change by a constant rate, resulting in a curved or non-linear shape on a graph. Examples of nonlinear relations include quadratic functions, exponential functions, and trigonometric functions.


How are linear and exponential functions similar?

I'm sorry, I don't have much. I have the same problem. The answer I have so far is they are alike because they both have to have a constant rate as they increase. You can't change the slope or the exponent after going up a graph while graphing.