For Exercises 12-14, determine the asymptotes (vertical, horizontal, and slant).
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- Graph f(x)=3x26x+5 by using its properties.arrow_forwardQ.2 Find the lim 2x-6arrow_forwardA shoe company is planning a new brand of walking shoe for the market, Research shows that x, the number of shoes sold (in thousands) at a price of $p, can be approximated by -2ln(" P-30 60 ) where 31arrow_forwardIdentify the asymptotes in the displayed domain of the graph you selected above. (Enter your answers as a comma-separated list of equations.)arrow_forwardDetermine the vertical asymptotes of f.arrow_forwardSuppose that a ball is thrown from the top of a 44-foot building. The function h(t) = - 16t2 + 80t +44 models the height in feet, h, of the ball t seconds after it is thrown. a) When does the ball hit the ground? The ball hits the ground after seconds b) Find the time(s) the ball will be 108 feet above ground. You may use fractions or decimals. Use a comma to separate values, if necessary} The ball is 108 feet above ground after seconds O c) The ball will be at its highest point after t = 2.5 seconds. Find the height of the ball at that time. The height of the ball after 2.5 seconds is feetarrow_forwardShow your complete solutionarrow_forwardLet the distance in feet that a car travels in t seconds be given by d(t) = 8t for 0 sts6. a. Find d(t+ h). b. Find the difference quotient of d and simplify. c. Evaluate the difference quotient when t= 2 and h = 0.05. Interpret your result. a. d(t+h) =(Simplify your answer.) b. The difference quotient of d(t) = 8t is (Simplify your answer.) c. Evaluate the difference quotient whent32 and h = 0.05. Interpret your result. Choose the correct answer from below. A. 32.4, the average speed of the car from 2 to 2.5 sec is 32.4 ft/sec B. 36, the average speed of the car from 2 to 2.5 sec is 36 ft/sec C. 36, the average speed of the car from 2 to 2.05 sec is 36 ft/sec D. 32.4, the average speed of the car from 2 to 2.05 sec is 32.4 ft/sec .OOOarrow_forwardx2 + 7x + 10 / x+2 a) Determine the x and y intercepts of each function. b) Determine the equation for the vertical asymptote.arrow_forwardhelpp....i did halfarrow_forwardFind the intervals on which the function is increasing or decreasing. f(x) = 2x³-6x²- - 6x-48x+12 List any interval(s) on which the function is increasing. Select the correct answer below and, if necessary, fill in the answer box within your choice. OA. The function is increasing on the interval(s). (Type your answer in interval notation. Use a comma to separate answers as needed.) OB. The function is never increasing. List any interval(s) on which the function is decreasing. Select the correct answer below and, if necessary, fill in the answer box within your choice. OA. The function is decreasing on the interval(s). (Type your answer in interval notation. Use a comma to separate answers as needed.) B. The function is never decreasing.arrow_forwardThe top of an electricity pole is supported by a rope of length 5 feet from the base of the pole. If the rope is one foot longer than the height of the pole, i.Draw a diagram to illustrate the statement aboveii.Find the height of the electricity pole iii.The length of the rope. b)Throwing a rock upward from 160 feet above the ocean, the functionh(t)=−16t2+48t+160models the height(h)of the rock above the ocean as a function of time(t). Find:i.the zeros of this function which tell us when the rock will hit the oceanii.when the rock will be 160 feet above the ocean .Discuss the difference between mean and mean deviation. Give an example of each of them.arrow_forwardarrow_back_iosSEE MORE QUESTIONSarrow_forward_ios
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