Section 7.4 (Function Growth) - Exercises 1. Let f(x) = 1" + 2"+ 3" + + x2. Show f (x) is 0(x3). 2. Given the following functions: f(x) = 3x+ 2x- - 11 9(x) = In(x) h(x) = 7x3 - 14 i(x) = 5x2 a. Show h(x) is off (x])- b. Show that the functions: f (x) + g(x) (ie. the sum of fand g) and h(x) oi(x) (i.e. the composition of h and i) are in the same Theta class. C. Put all four functions in order from lowest to highest. 3. Given the following two functions on the set of real numbers, determine the *1 for which f(x) > g(x) for all > > x, (use an online tool such as DESMOS). f(x) = x4 - 6x - 39x- + 16x + 60 g(x) = -0.5x + 10