Advanced Placement Calculus 2016 Graphical Numerical Algebraic Fifth Edition Student Edition
5th Edition
ISBN: 9780133311617
Author: Prentice Hall
Publisher: Prentice Hall
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Explain the relationship between a function and the derivative by providing an example.
What do the derivatives of a function tell you about the shape of its graph?
Calculate the derivative of the function f (x) =-5x + 2 and plot the function and its
derivative on the same graph. Describe the relationship between the two graphs.
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- Describe why the horizontal line test is an effective way to determine whether a function is one-to-one?arrow_forwardHow do we determine the domain of a function defined by an equation?arrow_forwardWhen examining the formula of a function that is the result of multiple transformations, how can you tell a horizontal shift from a vertical shift?arrow_forward
- Sketch a graph given two sign charts of a function and it's derivative.arrow_forwardThe diagram shows the graph of a function with domain R. a) For the graph shown above, sketch on the same set of axes, the graph of the derivative function. b) Write down the domain of the derivative function.arrow_forwardDetermine whether each of the following statements is true or false, and explain why The derivative gives the instantaneous rate of change of a function.arrow_forward
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