# 1. In which quadrant or quadrants does the graph of the power function y xa appear when the domain..

1. In which quadrant or quadrants does the graph of the power function y xa appear when the domain of x is (, ) and (a) a is a positive even number. (b) a is a positive odd number. (c) a is a negative even number. (d) a is a negative odd number. 2. Graph the functions y 2×2 and y 2x over the interval (0, 1]. How do the values of these functions compare over this interval? What is the y-intercept of each function? 3. Using the functional form and your graph from question 7, now assume that xA 1 and xB 4, and plot the functions on the graph. Calculate the average rate of change for each

1. In which quadrant or quadrants does the graph of the power function y xa appear when the domain of x is (, ) and (a) a is a positive even number. (b) a is a positive odd number. (c) a is a negative even number. (d) a is a negative odd number. 2. Graph the functions y 2×2 and y 2x over the interval (0, 1]. How do the values of these functions compare over this interval? What is the y-intercept of each function? 3. Using the functional form and your graph from question 7, now assume that xA 1 and xB 4, and plot the functions on the graph. Calculate the average rate of change for each function. Using the formal definitions provided in Section 2.2, determine whether these functions are concave or convex. Consider the specific case of 0.3.

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