Evaluating a Step Function In Exercises 27-30, evaluate the function for the given values.
Trending nowThis is a popular solution!
Chapter 2 Solutions
EBK COLLEGE ALGEBRA
- Explain how to find the output variable in a wordp roblem that uses a linear function.arrow_forwardWriting a Linear Function In Exercises 11-14, (a) write the linear function f that has the given function values and (b) sketch the graph of the function. f35=12,f4=9arrow_forwardCollege Enrollment The total fall enrollment in 4-yearpublic institutions is given by y = 0.014x + 2.290,where x is the number of years after 1990 and y ismillions of students. Is this a linear function? Why orwhy not? What is the independent variable?(Source: U.S. Department of Education, National Center forEducation Statistics)arrow_forward
- A closed box with a square bottom has a total surface area (all 6 sides) of 400 square inches. Express the volume of the box as a function of w. 40² Recall that the volume of a box with dimensions width, length, height is the product of all three. h 0 W 11 Ov(w) = w(200 - w²) Ov(w) = w(100 - 2w²) ○ v(w) = w(200 – w²) Ov(w) = w(100 – w²) -w(400 – w²) O V(W) =arrow_forwardA baseball team plays in a large stadium. With a ticket price of $15, the average attendance at recent games has been 20,000. A market survey indicates that for each $1 increase in the ticket price, attendance decreases by 400. a. Express the number of spectators at a baseball game, N, as a function of the ticket price, x. b. Express the revenue from a baseball game, R, as a function of the ticket price, x.arrow_forwardHow do I use function notation to represent the cost ?arrow_forward
- Which set Describes the domain P(h)?arrow_forwardA company mines low-grade nickel ore. If the company mines x tons of ore, it can sell the ore for p = 270 - 0.45x dollars per ton. a. Find the domain of p. b. Express the revenue as a function of x. c. How many tons of ore should the company mine to achieve the maximum revenue? What is the maximum revenue?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
- Trigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage LearningBig Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt
- Holt Mcdougal Larson Pre-algebra: Student Edition...AlgebraISBN:9780547587776Author:HOLT MCDOUGALPublisher:HOLT MCDOUGALCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage