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[DOC File]Finding the Vertex of a Quadratic Function
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5. Find the vertex of each of the following functions by graphing the function on your graphing calculator. (Remember: Go to 2nd-calc-minimum/maximum. Now you must select a value to the left and right of the vertex. Then hit Enter until the calculator gives you the value at the vertex.) (For TI-Nspire use the point on utility).
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[DOC File]First exam practice sheet
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Find all of the following for the function . Local extrema, if any. Horizontal asymptote, if any. Vertical asymptotes, if any. Inflection points, if any. Draw a graph of that captures all of the above aspects of the function. (You may use a graphing calculator). For the polynomial function
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[DOC File]POLYNOMIAL PATTERNS Learning Task:
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For each polynomial function, make a table of 7 points and then plot them so that you can determine the shape of the graph. Choose points that are both positive and negative so that you can get a good idea of the shape of the graph. Also, include the x intercept as one of your points. For example, for the first order polynomial function: .
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[DOC File]Modeling Exponential Growth Using Two Points
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MTH 111c. Modeling Exponential Growth Using Two Points. EXERCISES. For each part of this problem, find the equation of an exponential function that passes through the given pair of points, then verify your answer using your graphing calculator.
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[DOC File]Polynomial Functions and End Behavior
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SKETCH THE FUNCTION. Find the roots and the multiplicity of each root for y = (2x - 10)(x – 7)(x + 1)(x+1) 5. Identify the roots and state the multiplicity for each root: (Use your calculator.) a.) f(x) = b.) Closure: How is a real root with odd multiplicity different from a real root with even multiplicity? Explain (yes in words).
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[DOC File]CALCULUS
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WORKSHEET ON DERIVATIVES. Work the following on notebook paper except for problems 11 – 12. Do not use your calculator. On problems 1 – 4, find the critical points of each function, and determine whether they are relative maximums or relative minimums by using the Second Derivative Test whenever possible.
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[DOC File]www.mistergmath.com
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(b) Find all values of x for which f assumes its absolute minimum. Justify your answer. (c) Find the intervals on which f is concave downward. (d) Give all values of x for which f has a point of inflection. (e) Sketch the graph of f. _____ 2. A function f …
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Find the function calculator from points