Exam 11: Functions and Relations

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Let Let   Find  Find Let   Find

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Let Let   Find:  Find: Let   Find:

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The height, s, in feet, of a rock thrown upward at an initial speed of 76 ft/s from a cliff 40 ft above the ocean beach is given by the function The height, s, in feet, of a rock thrown upward at an initial speed of 76 ft/s from a cliff 40 ft above the ocean beach is given by the function   where t is the time in seconds. Find the maximum height above the beach that the rock will attain. where t is the time in seconds. Find the maximum height above the beach that the rock will attain.

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Use the Composition of Inverse Function Property to determine whether the functions given below are inverses. Use the Composition of Inverse Function Property to determine whether the functions given below are inverses.

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Let Let   Find  Find Let   Find

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Let Let   Find:  Find: Let   Find:

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Use the Composition of Inverse Function Property to determine whether the functions given below are inverses. Use the Composition of Inverse Function Property to determine whether the functions given below are inverses.

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Find the x-intercepts of the parabola: Find the x-intercepts of the parabola:

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Given the graph of Given the graph of   . Use reflections to draw the graphs   .  . Use reflections to draw the graphs Given the graph of   . Use reflections to draw the graphs   .  . Given the graph of   . Use reflections to draw the graphs   .

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Find the zeros of the function: Find the zeros of the function:

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Find the x-intercepts of the parabola: Find the x-intercepts of the parabola:

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Find two numbers whose difference is 46 and whose product is a minimum.

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Find the x-intercepts of the parabola: Find the x-intercepts of the parabola:

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Find Find    Find

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A manufacturer of microwave ovens believes that the revenue R, in dollars, the company receives is related to the price P, in dollars, of an oven by the function A manufacturer of microwave ovens believes that the revenue R, in dollars, the company receives is related to the price P, in dollars, of an oven by the function   What price will give the maximum revenue? What price will give the maximum revenue?

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Use the Composition of Inverse Function Property to determine whether the functions given below are inverses. Use the Composition of Inverse Function Property to determine whether the functions given below are inverses.

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Use the discriminant to determine the number of x-intercepts of the graph: Use the discriminant to determine the number of x-intercepts of the graph:

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Given the graph of Given the graph of   called a sawtooth wave. Use translations to draw the graphs   .  called a sawtooth wave. Use translations to draw the graphs Given the graph of   called a sawtooth wave. Use translations to draw the graphs   .  . Given the graph of   called a sawtooth wave. Use translations to draw the graphs   .

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Find the vertex and axis of symmetry, and then graph the parabola given by: Find the vertex and axis of symmetry, and then graph the parabola given by:

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Find the minimum or maximum of the quadratic function: Find the minimum or maximum of the quadratic function:

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