CALCULUS:GRAPHICAL...,AP ED.-W/ACCESS
5th Edition
ISBN: 9780133314564
Author: Finney
Publisher: SAVVAS L
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What is an example of a function f : [-2, 2]-->R which is not differentiable at -1 but which is continuous at -1.
false: If f(x) is differentiable in its domain then
True or
f must be continuous in its domain?
Find the intervals where the graph of f is concave upward and where it is concave downward. (Enter using interval notation)
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- If a functionfis increasing on (a,b) and decreasing on (b,c) , then what can be said about the local extremum offon (a,c) ?arrow_forwardWhat does it mean to say that f(4) is a local maximum valueof f ?arrow_forwardDetermine if the statemment is true or false. If the statement is false, then correct it and make it true. If the function f increases on the interval -,x1 and decreases on the interval x1,, then fx1 is a local minimum value.arrow_forward
- Determine if the statemment is true or false. If the statement is false, then correct it and make it true. If the function f decreases on the interval -,x1 and increases on the interval x1,, then fx1 is a local maximum value.arrow_forwardDetermine whether the Intermediate Value Theorem can be used to show that f(x) has a root in the interval (0,1). i) if f positive negative continuous or discontinuous? ii) f(0) = ? iii) f(1) = ? SEE IMAGEarrow_forwardProvide an example of a function which is continuous on all of R and differentiable on all of R except when x = -4. Explain why your example satisfies the provided description.arrow_forward
- Please fill in all the boxes for STEP 3arrow_forward(e) Use (a)-(d) to determine whether f is left-continuous, right-continuous, or continuous at r = -3 and a = 0. Make sure to explain your reasoning.arrow_forwardample 23: Show that the function f(x)=1-1-x² is continuous on the interval [-1.11.arrow_forward
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