What is slope? Explain the following concepts in detail. Use formulas or diagrams that could...
Question:
What is slope? Explain the following concepts in detail. Use formulas or diagrams that could complete your description.
The Slope of a Function:
The slope of a function is a very important parameter that can give us a lot of information about the function. For example, the demand function's negative slope tells us that the quantity demanded falls when the price rises.
Answer and Explanation: 1
The slope of a function is the rate of change of the function. This means that the slope is the ratio of the change in the value of a function divided by the change in the input value of the function. This can be expressed as:
$$m=\dfrac{f(x_2)-f(x_1)}{x_2-x_1} $$
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Slopes and Rate of Change
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Chapter 7 / Lesson 2
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The rate of change is shown through one variable as it changes the function of another variable and can be seen furthermore as location changes as a function of time. Learn more about slopes, rates of change, and the rate of velocity.
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