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MAT136H1 Chapter 1c: Class 1C - Notes

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School
UTSG
Department
Mathematics
Course
MAT136H1
Professor
Al- Faisal, Faisal

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Question : numerically estimating a value of a function defined by an integral. A table of values of a function (cid:4666)(cid:1872)(cid:4667) is shown below. Which of the following is the best estimate for (cid:4666)(cid:887)(cid:4667), given the information provided? (cid:1872) (cid:887) (cid:4666)(cid:1872)(cid:4667) (cid:883)(cid:882) (cid:4666)(cid:887)(cid:4667)= (cid:4666)(cid:1872)(cid:4667) (cid:1856)(cid:1872) (cid:2873)(cid:2876) Question : shape of function defined by integral. Below is the graph of a function (cid:1858). Then, for (cid:882)

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Related Questions

(1) In the space provided, sketch the graph of a function f satisfying the properties below. -00 • f is defined and differentiable for all I* 2. • f(0) = 0 . f has vertical asymptotes at I=+2 . f has horizontal asymptote y=0 as 17 00, and y=1 as 1 • f is increasing on (-2,2) . f is decreasing on (-00,-2) and (2,00) • f is concave up on (0, 2) and (2.00) • f is concave down on (-2,0) and (-00,--2)


7. The following is the graph of the derivative function ʹ f (x) of a differentiable function f defined on the interval (0, 11). Note that the following questions are about the function f, not the function ʹ f . a. On what intervals is f increasing? Decreasing? b. At what values of x does f have a local maximum? A local minimum? c. On what intervals is f concave up? Concave down? d. At what values of x does f have a point of inflection? e. Assuming that f(0)=0, sketch a graph of f.