A student described the characteristics of the given graph of a polynomial function but made an error. Explain and correct the error made. f(x) = -3x^3 + 5x^2 + 11x Student's solution: This is a polynomial function of degree 3, so I know that the graph will have zero or two turning points. The leading coefficient of this cubic function is negative, so I know that the graph extends from quadrant Il to quadrant IV. There is no constant term, so there is no y-intercept. Because this function is cubic, I know that there can be 1, 2, or 3 x-intercepts
A student described the characteristics of the given graph of a polynomial function but made an error. Explain and correct the error made. f(x) = -3x^3 + 5x^2 + 11x Student's solution: This is a polynomial function of degree 3, so I know that the graph will have zero or two turning points. The leading coefficient of this cubic function is negative, so I know that the graph extends from quadrant Il to quadrant IV. There is no constant term, so there is no y-intercept. Because this function is cubic, I know that there can be 1, 2, or 3 x-intercepts
A student described the characteristics of the given graph of a polynomial function but made an error. Explain and correct the error made.
f(x) = -3x^3 + 5x^2 + 11x
Student's solution:
This is a polynomial function of degree 3, so I know that the graph will have zero or two turning
points. The leading coefficient of this cubic function is negative, so I know that the graph extends from
quadrant Il to quadrant IV. There is no constant term, so there is no y-intercept. Because this function
is cubic, I know that there can be 1, 2, or 3 x-intercepts.
Expression, rule, or law that gives the relationship between an independent variable and dependent variable. Some important types of functions are injective function, surjective function, polynomial function, and inverse function.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Trigonometry (MindTap Course List)TrigonometryISBN:9781305652224Author:Charles P. McKeague, Mark D. TurnerPublisher:Cengage Learning
Trigonometry (MindTap Course List)TrigonometryISBN:9781337278461Author:Ron LarsonPublisher:Cengage Learning