Explore BrainMass

Explore BrainMass

    Algebra and Trigonometry

    Not what you're looking for? Search our solutions OR ask your own Custom question.

    This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

    See the attached file for full problem description.

    16. The figure shows the graphs of f(x) = x^3 and g(x) = ax^3. What can you conclude about the value of a?

    a. a < -1
    b. -1 < a < 0
    c. 0 < a < 1
    d. 1 < a

    17. If f(x) = x(x+1)(x=4), use interval notation to give all values of x where f(x) > 0.

    a. (-1, 4)
    b. (-1, 0) U (4, infinity)
    c. (-1, 4)
    d. (0, 1) U (4, infinity)

    18. Find the third degree polynomial whose graph is shown in the figure.

    a. f(x) = x^3 - x^2 - x + 5
    b. f(x) 1/25(x^3) - 1/5(x^2) - x + 5
    c. f(x) = 1/25(x^3) - 1/5(x^2) + 5x + 5
    d. f(x) = 1/5(x^3) + 1/5(x^2) - x + 5

    19. The figure shows the graph of the polynomial function y = f(x).

    For which of the values k = -2, 1, 2, or 3 will the equation f(x) = k have distinct real roots.

    a. -2
    b. 1
    c. 2
    d. 3

    20. The degree three polynomial f(x) with real coefficients and leading coefficent 1, has -3 and +4i among its roots. Express f(x) as a product of linear and quadratic polynomials with real coefficients.

    a. f(x) = (x+3)(x^2 + 16)
    b. f(x) = (x+3)(x^2 + 8x + 16)
    c. f(x) = (x+3)(X^2 - 8x + 16)
    d. f(x) = (x-3)(x^2 + 16)

    21. For the function f(x) shown in problem 1, find the domain and range of f^-1(x).

    a. Domain = [0, 6], Range [1, 4]
    b. Domain = [0, 4], Range [1, 6]
    c. Domain = [1, 4], Range [0, 6]
    d. Domain = [1, 6], Range [0, 4]

    © BrainMass Inc. brainmass.com March 4, 2021, 7:37 pm ad1c9bdddf
    https://brainmass.com/math/trigonometry/algebra-and-trigonometry-112374

    Attachments

    Solution Summary

    In an attached PDF file, the answers for each multiple choice question are provided along with a brief calculation and explanation.

    $2.49

    ADVERTISEMENT