This is problem 48 for questions 1:

The gas mileage m(x) (in mpg) for a certain vehicle can be approximated by m(x) = ?0.028x² + 2.688x ? 35.012, where x is the speed of the vehicle in mph.

_l. .1......_. u.._ -. -_-..__. Question 1: Answer. lILIhoose either problem 46 or problem 48 on page 250. For the problem vou choose. answer the following, showing vour calculations: [a] Determine the vertex and interpret the meaning of [h, it} in the problem situation. {Epts} [b] Determine the x and vintercepts of the function. Interpret the meaning of each in the problem situation. Are all intercepts meaningful to the given problem? Explain. [Epts] [c] l'vlanv realworld applications have a restricted domain and range. Determine an appropriate domain and range for the problem Ivou chose. [dptsl Question 2: Answer. Graph the functions fx) = 5x3 4x2 "Ex + 5 and g(x) = x\" + 4 on the same axes using the Desmos Graphing Calculator {desmoscom or bv app}. Find the coordinates of the xintercepts and intersection points bv clicking on each point. {3} Include a screenshot of the graphs with coordinate points of the x-intercepts and intersection points labeled. [Zptsi [b] Solve the following inequalities using interval notation. [i] For what xvalues is x) :2- g[x)? {3pts} [ii] For what xvalues is x) s: I]? [3pts] Question 3: Create. Create a rational function that includes at least one asymptote, one zero, and one hole (all real numbers) for your classmates to analyze. Make sure to expand the numerator and denominator before you post your function. (8pts) To analyze the function, find: (a) zero(s) (b) equations of the asymptotes (vertical, horizontal, and/or slant) (c) the coordinates of any hole(s) (d) y-intercept (if any) (e) End Behavior. Fill in the blanks: As x - co, y - and x - -co, y