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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2. Show that a constant function is continuous. Present an
the proof.
Briefly explain what the Mean Value Theorem tells us. Why do we require that f be a continuous function in order to apply this theorem? You may sketch a graph to explain your reasoning.
Determine whether the function is not differentiable using differentiability and continuity, and show the complete solution, thank you so much
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- Why does the vertical line test tell as whether the graph of a relation represents a function?arrow_forwardHow can you determine whether a function is odd or even from the formula of the function?arrow_forwardLet f be a function with constant rate of change. Then a f is a ________ function and f is of the form fx = ______x ________. b The graph of f is a __________.arrow_forward
- Why does the horizontal line test tell us whether the graph of a function is one-to-one?arrow_forwardHow are the absolute maximum and minimum similar to and different from the local extrema?arrow_forwardDraw a sketch of the square and cube functions. What are the similarities and differences in the graphs?arrow_forward
- Part 1: Is f(x) continuous at x=8? Explain why or why not. Part 2: Is f(x) differentiable at x=8? Explain why or why not.arrow_forwardPart 1: Is f(x) continuous at x=10? Explain why or why not. Part 2: Is f(x) differentiable at x=10? Explain why or why not.arrow_forwardAt which point/s (value/s of x) is the function continuous but not differentiable? -4 2 4 6 8 10 2 14 DO NOT include the variable. Just give the value/s of x. Type your answer/s in the following format: 2,-3 Your answerarrow_forward
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