The graph of the function y = x 2 - 4 x is: {applet} Find the coordinates of its vertex and its intercepts. Select the correct answer: vertex (2, - 4); x-intercepts 0, 4 ; y-intercept 0 vertex (3, 4); x-intercepts 0, 6 ; y-intercept 0 vertex (4, 8); x-intercepts 0, 3 ; y-intercept 0 vertex (- 2, - 3); x-intercepts 0, 6 ; y-intercept 0 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

The graph of the function y = x 2 - 2 x + 10 is: {applet} Find its maximum or minimum value. Select the correct answer: min = 9 min = - 10 max = 12 max = - 13 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

True or false: The local maximum and minimum values of the function f (x) = 3 x 3 - 3 x and the value of x at which each occurs are: max = 1.15, x = - 0.58, min = - 1.15, x = 0.58. True False 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50

A fish swims at a speed v relative to the water, against a current of 5 mph. Using a mathematical model of energy expenditure, it can be shown that the total energy E required to swim a distance of 13 miles is given by {image} Biologists believe that migrating fish try to minimize the total energy required to swim a fixed distance. Find the value of v that minimizes energy required. Select the correct answer: 7.5 15 8.5 8 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50