For Exercises 69–84, draw a graph to match the description given. Answers will vary.
is decreasing over
and increasing over
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CALCULUS+ITS APPLICATIONS
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- For Exercises 103–104, given y = f(x), remainder a. Divide the numerator by the denominator to write f(x) in the form f(x) = quotient + divisor b. Use transformations of y 1 to graph the function. 2x + 7 5х + 11 103. f(x) 104. f(x) x + 3 x + 2arrow_forwardThe average amount A (in pounds per person) of fish and shellfish consumed in the UnitedStates during the period 1992–2001 can be modeled by A = (3.2x + 260)/(52x + 3800) where x is the number of years since 1992.Rewrite the model so that it has only whole number coefficients. Then simplify the model.arrow_forwardYour cardiac index is your heart's output, in liters of blood per minute, divided by your body's surface area, in square meters. The cardiac index, C(x), can be modeled by 7.644 C(x) = 10 s xs 80, where x is an individual's age, in years. The graph of the function is shown. Use the function to solve Exercises 95–96. 7.644 C(x) = %3D 10 20 30 40 50 60 70 80 90 Age 95. a. Find the cardiac index of a 32-year-old. Express the denominator in simplified radical form and reduce the fraction. b. Use the form of the answer in part (a) and a calculator to express the cardiac index to the nearest hundredth. Identify your solution as a point on the graph. 96. a. Find the cardiac index of an 80-year-old. Express the denominator in simplified radical form and reduce the fraction. Cardiac Index liters per minute squar e met ers 654 32arrow_forward
- For Exercises 111–114, use the relationship given in the right triangle and the inverse sine, cosine, and tangent functions to write θ as a function of x in three different ways. It is not necessary to rationalize the denominator.arrow_forwardIn Exercises15–36, find the points of inflection and discuss theconcavity of the graph of the function. f(x)=\frac{6-x}{\sqrt{x}}arrow_forwardIn Exercises 87–88, use the graph of f(x) = |4 – x| to solve each equation or inequality. y flx) = |4 – x| y = 53- y = 1 $ 9 10 87. 14 - x| = 1 88. 14 - x| < 5arrow_forward
- For Exercises 93–102, write the domain of the function in interval notation. VI - P 93. f(x) = V9 - ? 95. h(a) = Va² – 5 94. g(t) = 96. f(u) = Vu? – 7 97. p(x) = V2x? + 9x – 18 98. q(x) = V4x² + 7x – 2 - 1 1 99. r(x) 100. s(x) V2r + 9x – 18 V4x + 7x – 2 - 3x 2x 101. h(x) = 102. k(x) = Vx + 2 Vx + 1arrow_forwardExercise 3: You challenge yourself and graph the given functions on your own 1. y = 2() -3 -2 -1 3.arrow_forwardMA.912.F.1.5 Date: Period: Callie and her friend Elena are reading through different novels they checked out from their school library last Tuesday. Callie's progress through her novel can be modeled by the function p(d) = -25d +318, where p(d) represents the number of pages remaining to be read and d is the number of days since receiving the book. Elena's progress through her novel is modeled by the graph below. АУ # Pages Left 400 350 300 250 200 * 150 100 50 (3275) (8,75) 2 3 4 5 6 7 # Days Part A. Which student's novel has more pages to read? 8 9 10 11 Part B. Assuming they both continue to read at a constant rate, which student will complete their novel first?arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage