2) Answer and Create. Question 1: Answer. Choose either problem 46 or problem 48 on page 250 . For the problem you choos

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2 Answer And Create Question 1 Answer Choose Either Problem 46 Or Problem 48 On Page 250 For The Problem You Choos 1 (58.76 KiB) Viewed 42 times

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2) Answer and Create. Question 1: Answer. Choose either problem 46 or problem 48 on page 250 . For the problem you choose, answer the following, showing your calculations: (a) Determine the vertex and interpret the meaning of (h,k) in the problem situation (b) Determine the x - and y-intercepts of the function. Interpret the meaning of each in the problem situation. Are all intercepts meaningful to the given problem? Explain. (c) Many real-world applications have a restricted domain and range. Determine an appropriate domain and range for the problem you chose. Question 2: Answer. Graph the functions f(x)=5x3−4x2−7x+5 and g(x)=−x4+4 on the same axes using the Desmos Graphing Calculator (desmos.com or by app). Find the coordinates of the x-intercepts and intersection points by clicking on each point. (a) Include a screenshot of the graphs with coordinate points of the x-intercepts and intersection points labeled. (2pts) (b) Solve the following inequalities using interval notation. (i) For what x-values is f(x)>g(x) ? (ii) For what x-values is f(x)<0 ? 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. 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→∞,y→ and x→−∞,y→
46. A firefighter holds a hose 3 m off the ground and directs a stream of water toward a burning building. The water leaves the hose at an initial speed of 16 m/sec at an angle of 30∘. The height of the water can be approximated by h(x)=−0.026x2+0.577x+3, where h(x) is the height of the water in meters at a point x meters horizontally from the firefighter to the building. a. Determine the horizontal distance from the firefighter at which the maximum height of the water occurs. Round to 1 decimal place. b. What is the maximum height of the water? Round to 1 decimal place. c. The flow of water hits the house on the downward branch of the parabola at a height of 6 m. How far is the firefighter from the house? Round to the nearest meter.