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[DOC File]Graph the function y = x 4 + 5x 3 – 6x 2 – 13x – 20
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What x value yields this minimum? 7. There is only one relative maximum for f (x). What is it? What x value yields this maximum? Keeping the graph of f, graph g (x) = 10x – 60 on the same axes. Make the graph of g a bold line. You should now see the graphs of f and g. 8. Find all value(s) of x for which f (x) = g (x…
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[DOC File]AP Calculus Free-Response Questions
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211. Let f and g be the functions given by f(x) = ex and g(x) = ln x. a. Find the area of the region enclosed by the graphs of f and g between x = ½ and x = 1. b. Find the volume of the solid generated when the region enclosed by the graphs of f and g between x = ½. and x = 1 is revolved about the line y = 4. c.
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[DOC File]AP Calculus Assignments: Derivative Techniques
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2. If f(x) = x3 + x – 7, find (f –1)'(3). 3. If , x > 0, and g(x) = f –1(x), find g'(15). 4. If x = y3 +2y + 4, find . (This assignment continued on next page.) 5. The function f is one-to-one and differentiable. Selected values of f are shown in the table. Estimate the value of . 6. The function f is graphed at right.
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[DOC File]Introduction to Function Plotting with GSP 4
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The function calculator should show g(x) in the upper portion (each new function gets assigned a new letter, starting with f). Click on the parameter value for a (a=0.5). The letter “a” should appear in the editing strip on the calculator. Now press the * key and the open parentheses “(“ key, followed by the “x” key and the “-“ key.
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[DOC File]MCR3U Expectations Grid: - THANGARAJ MATH
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Sample problem: Graph f(x) = 2(x), g(x) = 3(x) and h(x) = 0.5(x) on the same set of axes. Make comparisons between the graphs, and explain the relationship between the y-intercepts. 2. Connecting Graphs and Equations of Exponential Functions . By the end of this course, students will:
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[DOC File]Review Notes: Functions and Equations
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Solution: g(f(x)) = g(2x+5) = (2x+5+1)2 – 5(2x+5) = 4x2+24x+36 – 10x – 25 = 4x2+14x+11. 2.2 Graphing. Make sure you can utilize all the graphing features on your calculator. You must be able to find zeros of functions, find asymptotes of functions, find the intersection of functions, the max and min of functions, and appropriately adjust ...
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[DOC File]Summer Review Packet for Students Entering Calculus (all ...
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If: show f(x) and g(x) are inverses of each other. Prove f and g are inverses of each other. 36. 37. Equation of a line. Slope intercept form: Vertical line: x = c (slope is undefined) Point-slope form: Horizontal line: y = c (slope is 0) 38. Use slope-intercept form to find the equation of the line having a slope of 3 and a y-intercept of 5. 39.
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[DOC File]Math 111 – Calculus I
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Example 3.11: Consider the sketches of the following functions f(x) and g(x) that we first observed in example 3.2 (refer back to page 12 of the notes). Compute left-hand and right-hand limits of f and g respectively as x approaches 1 or argue while the particular one-sided limit fails to exist.
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[DOCX File]www.nccscougar.org
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{Hint: Plug equation into calculator to get the corresponding y -values} 2. a) Show that the set of ordered pairs in the table below satisfies a cubic relationship. (Hint: Find the third differences) ... If f x =-2 x 2 +5x-3 and g(x) is a reflection of f(x) across the y -axis, then an equation of g . is which of the following? (1) g x =-2 x …
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G x and f x calculator