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
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.
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