Concept explainers
Learning theory. In 1917, L. L. Thurstone, a pioneer in quantitative learning theory, proposed the rational function
to model the number of successful acts per unit time that a person could accomplish after x practice sessions. Suppose that for a particular person enrolled in a typing class,
where f(x) is the number of words per minute the person is able to type after x weeks of lessons.
- (A) What does f(x) approach as x increases?
- (B) Sketch a graph of function f, including any vertical or horizontal asymptotes.
Want to see the full answer?
Check out a sample textbook solutionChapter 1 Solutions
FIN 108 ISU LOOSE >IP<
- Match the graph of the rational function f(x)=ax+bcx+d with the given conditions. (a) (b) (c) (d) (i) a0b0c0d0 (ii) a0b0c0d0 (iii) a0b0c0d0 (iv) a0b0c0d0arrow_forwardIf the graph of a rational function has a removablediscontinuity, what must be true of the functionalrule?arrow_forwardA business has a cost function of C=0.4x+8000, where C is measured in dollars and x is the number of units produced. The average cost per unit is given by C=Cx=0.4x+8000x,x0. a. Find the average costs per unit when x=1000,x=8000,x=20,000,andx=100,000. b. What is the horizontal asymptote of the graph of this function, and what does it represent?arrow_forward
- Functions and Change: A Modeling Approach to Coll...AlgebraISBN:9781337111348Author:Bruce Crauder, Benny Evans, Alan NoellPublisher:Cengage LearningAlgebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw HillCollege Algebra (MindTap Course List)AlgebraISBN:9781305652231Author:R. David Gustafson, Jeff HughesPublisher:Cengage LearningAlgebra and Trigonometry (MindTap Course List)AlgebraISBN:9781305071742Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning