AP®MathsCollege BoardPrecalculusExam QuestionsPolynomial & Rational FunctionsLinear, Quadratic & Polynomial Functions

Linear, Quadratic & Polynomial Functions (College Board AP® Precalculus): Exam Questions

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Linear, Quadratic & Polynomial Functions

1
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2 marks

The function g is given by g open parentheses x close parentheses equals negative 0.167 x cubed plus x squared minus 1.834.

(i) Find all values of x, as decimal approximations, for which g open parentheses x close parentheses equals 0, or indicate that there are no such values.

(ii) Determine the end behavior of g as x increases without bound. Express your answer using the mathematical notation of a limit.

How did you do?

2
Sme Calculator
2 marks

The function g is given by g open parentheses x close parentheses equals negative 0.1371 x to the power of 4 plus x cubed minus 1.2 x squared.

(i) Find all values of x, as decimal approximations, for which g open parentheses x close parentheses equals 11, or indicate that there are no such values.

(ii) Determine the end behavior of g as x increases without bound. Express your answer using the mathematical notation of a limit.

How did you do?