20 points. may you fast ? the thing ends tonight. 2. graph the piecewise function. f(x)= {2/3x-3 if x≤-6 -4/3x+1 if -63} 3. work on this coordinate plane to graph the following functions: a. graph the following absolute value function and show your work to determine the vertex: f(x) = |x + 2| b. the function g(x) translates f(x) 4 units up. graph g(x) on the same coordinate plane and write the g(x) function. c. the function h(x) reflects f(x) over the x-axis. graph h(x) on the same coordinate plane and write the h(x) function.

If cos(2x) = tan^2(y), show that cos(2y) = tan^2(x).

Every weekday, mr. jones bikes from his home to his job. sometimes he rides along two roads, the long route that is shown by the solid lines. other times, he takes the shortcut shown by the dashed line. how many fewer kilometers does mr. jones bike when he takes the shortcut instead of the long route?

(co 3) the soup produced by a company has a salt level that is normally distributed with a mean of 5.4 grams and a standard deviation of 0.3 grams. the company takes readings of every 10th bar off the production line. the reading points are 5.8, 5.9, 4.9, 6.5, 5.0, 4.9, 6.2, 5.1, 5.7, 6.1. is the process in control or out of control and why? it is out of control as two of these data points are more than 2 standard deviations from the mean it is in control as the data points more than 2 standard deviations from the mean are far apart it is out of control as one of these data points is more than 3 standard deviations from the mean it is in control as the values jump above and below the mean