Unit 1_ Rates of Change Assessment of Learning (1).pdf -...

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Unit 1: Rates of Change Assessment of Learning 1. Determine the average rate of change of y in the function 2 x x x y = 3 + 7 2 + 2 over the interval [3,5]. − 3 x
2. Given the function ( x ) x x , f = 2 2 + 3 + 1 a. Find the instantaneous rate of change when x = 1.
b. Find the value of the derivative when x = 1.
c.What did you notice?
3. Explain the difference between a secant line and a tangent line. How do they relate to the rate of change of a function? Include a sketch of each type of line in your solution.

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