Evaluating a Function In Exercises 29-34, evaluate the difference quotient and simplify the result. See Example 4.
Want to see the full answer?
Check out a sample textbook solutionChapter 1 Solutions
Calculus: An Applied Approach (MindTap Course List)
- 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_forwardUse a graphing utility to construct a table of values for the function f(x) = 3x−2 + 1 .Then sketch the graph of the function.arrow_forwardPersonal Expenditures Personal consumption expenditures for durable goods in the United States, inbillions of dollars, can be modeled by the functionP(x) = 306.472x0.464, where x is the number ofyears after 1990. Rewrite the function with x equal tothe number of years after 1995. (Hint: Shift the x-valueby the difference in years.)arrow_forward
- Explain how to graph the function using transformations seen in the function. f(x)=3(x+7)³ - 9arrow_forwardFor the function f(x)=6x+5, find (a) f(x+h), (b) f(x+h)−f(x), and (c) f(x+h)−f(x)h. Question content area bottom Part 1 (a) f(x+h)=enter your response here (Simplify your answer.) Part 2 (b) f(x+h)−f(x)=enter your response here (Simplify your answer.) Part 3 (c) f(x+h)−f(x)h=enter your response here (Simplify your answer.).arrow_forwardProfit The profit from the production and sale of iPodplayers is given by the function P(x) = 450x -0.1x2 - 2000, where x is the number of units produced and sold.a. What is P(500)? Interpret this result.b. What is the profit from the production and sale of4000 units? Write this in function notation.arrow_forward
- Evaluate the function f(x) = x-6 at the given value of the variable. a. f(10) b. f(3) a. f(10) = (Simplify your answer.) b. f(3) = (Simplify your answer.)arrow_forward1) Analyze and sketch the function f(x) -x 2x + 5x?arrow_forwardFunctions class.html F4 2003-2022 International Academy of Science. All Rights Reserved. a Which function matches the graph? F5 A 6 A. f(x) = (x + 3)(x - 5)(x + 7)²(x - 2)² B. f(x) = (x - 3)²(x + 5)²(x-7)(x + 2) C. f(x) = (x - 3)(x + 5) (x - 7)2(x + 2)² D. f(x) = (x - 3)²(x + 5)(x-7)(x + 2)² E. f(x) = (x + 3)²(x - 5)(x-7)²(x + 2) F6 *F & 7 F8 * O DELL F9 C prt sc F10 home F11 Enter end F12 Insert + delarrow_forward
- Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin HarcourtCalculus For The Life SciencesCalculusISBN:9780321964038Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.Publisher:Pearson Addison Wesley,