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Evaluating a Function In Exercises 25-28, evaluate the function at the specified values of the independent variable. Simplify the results. See Example 3.
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Chapter 1 Solutions
WebAssign Printed Access Card for Larson's Calculus: An Applied Approach, 10th Edition, Single-Term
- LIFE SCIENCE APPLICATIONS APPLY IT Splenic Artery Resistance Blood flow to the fetal spleen is of research interest because several diseases are associated with increased resistance in the splenic artery the artery that goes to the spleen. Researchers have found that the index of splenic artery resistance in the fetus can be described by the function y=0.057x0.001x2, where x is the number of weeks of gestation. Source: American Journal of Obstetrics and Gynecology. a. At how many weeks is the splenic artery resistance a maximum? b. What is the maximum splenic artery resistance? c. At how many weeks is the splenic artery resistance equal to 0, according to this formula? Is your answer reasonable for this function? Explain.arrow_forwardDomainFind the Domain of the function. f(x)=7x+15arrow_forwardA video game tournament begins with 243 competitors. After each round, one-third of the competitors remain. Write the function that models the change between the number of rounds, x, and the number of competitors remaining,Β r(x). Possible answers: r(x)=243*(1/3)x r(x)=3*(1/243)x Β r(x) = 243 Β· 3x r(x) = 3 Β· 243xarrow_forward
- A functionΒ f(x)Β is shown below. f(x) =Β xΒ +Β xΒ +Β x Write an equivalent form ofΒ f(x) in function notation that contains only one term on the right side of the equation.arrow_forwardEvaluate the function at the given value of the independent variable. Simplify the results. f(x) = xΒ³ F(x + Ax) β F(x) (Ax 0) Ax Need Help? Read Itarrow_forwardw later The publisher of a medical newsletter estimates that with x thousand subscribers its monthly revenue can be modeled by the function, R(x) = 60,000x - 50x and cost (in thousands of dollars) is modeled by the function C(x) = x+ 100x + 800. Write the function, in standard form, to represent the medical newsletter's profit, P(x), if P(x) = R(x) -C(x). %3D A- O Varrow_forward
- For the function βf(x)=6x+5β, find β(a) βΒ f(x+βh), β(b) βΒ f(x+βh)ββf(x), and β(c) f(x+h)βf(x)h. Β Β Β Question content area bottom Part 1 β(a) βΒ f(x+βh)=enter your response here β(Simplify yourβΒ answer.) Part 2 β(b) βΒ f(x+βh)ββf(x)=enter your response here β(Simplify yourβΒ answer.) Part 3 β(c) f(x+h)βf(x)h=enter your response here β(Simplify yourβ answer.).arrow_forwardApplication 1.3.13 Let f(x)= 4x +3 and g(x)=x2-8x + 15. Perform the function operation and then find the domain. f(x) g(x) f(x) (Simplify your answer.) %3D in the answer box and then click Check Answerarrow_forwardPlease explain thoroughly. The functions f and g are defined. Define the following functions and determine the domain of the composite function: f(x) = x-2 ; g(x) = x+7 f(x) = |x| ; g(x) = |x+2| f(x) = sqrt(x-2) ; g(x) = (x2 - 2) See image attached.arrow_forward
- For Exercise, fill in the blanks and determine an equation for fβ1(x) mentally.If function f adds 6 to x, then fβ1β_____ 6 from x. Function f is defined by f(x) = x+ 6, and function fβ1 is defined by fβ1(x) = _____.arrow_forwardEvaluate the function f(x) = - xΒ² + 4 at the given value of the variable. a. f(6) b. f( - 2) ..... a. f(6) = (Simplify your answer.) b. f( - 2) = (Simplify your answer.)arrow_forwardA verbal description of a function is given. To evaluateΒ f(x), divide the input byΒ 7Β and addΒ 6 7 Β to the result. (a) Find an algebraic representation for the function. f(x) =Β Β Β Β (b) Find a numerical representation for the function. x f(x) 1 Β 4 Β 6 Β 8arrow_forward
- Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin HarcourtGlencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillCalculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,
- College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
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