Compare the two functions. f(x) = 4x x f(x) 0 1 1 4 2 16 3 64 4 256 5 1,024 g(x) = 5x + 6 x g(x) 0 6 1 11 2 16 3 21 4 26 5 31 which statement is true? a. as x increases, the rate of change of f(x) exceeds the rate of change of g(x). b. at x = 2, the rate of change of g(x) is equal to the rate of change of f(x). c. on every interval of x, the rate of change of f(x) exceeds the rate of change of g(x). d. as x increases, the rate of change of g(x) exceeds the rate of change of f(x).

Two language majors, anna and megan, took exams in two languages. anna scored 85 on both exams. megan scored 74 on the first exam and 85 on the second exam. overall, student scores on the first exam had a mean of 82 and a standard deviation of 4, and the second exam scores had a mean of 71 and a standard deviation of 13. a) to qualify for language honors, a major must maintain at least an 85 average across all language courses taken. so far, which of anna and megan qualify? b) which student's overall performance was better?

Asphere has a diameter of 10 in. what is the volume of the sphere?

Starting at home, emily traveled uphill to the hardware store for 606060 minutes at just 666 mph. she then traveled back home along the same path downhill at a speed of 121212 mph. what is her average speed for the entire trip from home to the hardware store and back?