How do we compare properties of two functions?

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Presentation transcript:

How do we compare properties of two functions? Comparing Functions Essential Questions How do we compare properties of two functions? How do we estimate and compare rates of change? Holt McDougal Algebra 2 Holt Algebra 2

Sketching Graphs of Functions Given Key Features. The graph for the height of a diving bird above the water level, h(t), in feet after t seconds passes through the points (0, 5), (3, -1), and (5,15). Sketch a graph of the quadratic function that models the situation. Find the point that represents the minimum height of the bird. Use a graphing calculator to perform a quadratic regression on the data. Graph the equation and use the Minimum Feature to locate the minimum. Minimum of -3 Occurs when x = 2

Sketching Graphs of Functions Given Key Features. The height of a model rocket after launch is tracked in the table. Find and graph a quadratic function that describes the data. Use a graphing calculator to perform a quadratic regression on the data. Graph the equation and use the Maximum Feature to locate the maximum. Maximum of 61.25 Occurs when x = 1.87

Lesson 12.2 Practice B