ap calculus slides december 10, 2007
DESCRIPTION
Pre-Test on applications of derivatives.TRANSCRIPT
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Applications of Derivatives ... Pre-Test
Calculus Studies
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The graph of the function is increasing on which of the following intervals?
(A) I only (B) II only (C) III only (D) I and II only (E) I and III only
I 1 < x II 0 < x < 1 III x < 0
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Let: For how many inputs c between a = -2 and b = 2 is it true that
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The table below gives some values of the derivative of a function g.
Based on this information it appears that on the interval covered by the table
(A) g is increasing and concave up everywhere
(B) g is increasing and concave down everywhere
(C) g has a point of inflection
(D) g is decreasing and concave up everywhere
(E) g is decreasing and concave down everywhere
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(A) 3.80 (B) 3.84 (C) 3.88 (D) 3.92 (E) 3.96
Suppose ƒ is a continuous and differentiable function on the interval [0, 1] and g(x) = ƒ(3x). The table below gives some values of ƒ.
What is the approximate value of g'(0.1)?
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If has a local minimum at x = 4 then the value of k is:
(A) -1 (B) (C) 1 (D) 4 (E) None of these
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Let ƒ be a function given by
(a) Find the domain of ƒ.
(b) On the graph below, sketch the graph of ƒ.
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(c) Write an equation for each horizontal asymptote of the graph of ƒ.
(d) Find the range of ƒ. [Use to justify your answer.]