Pre-Calculus EOC Review 2017 Name The Exam I. 1. 2.

Pre-Calculus EOC Review 2017

Name ___________________________

The Exam ? 50 questions, multiple choice, paper and pencil.

I.

Limits ? 8 questions

a. (1) decide if a function is continuous at a point

b. (1) understand continuity in terms of limits

c. (1) find limits of sums, differences, products, and quotients.

d. (4) understand the concept of limit and estimate limits from graphs and tables of values

e. (1) find limits by substitution

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II. Functions ? 8 questions a. (1) Rewrite simple rational expressions in different forms b. (1) Understand and apply the extreme Value Theorem: If f(x) is continuous over a closed interval, then f has a maximum and a minimum on the interval. c. (2) find the inverse of a function d. (1) Write a function that describes a relationship between two quantities. e. (1) Understand that rational expressions from a system analogous to the rational expression; add, subtract, multiply and divide rational expressions. f. (1) Know the Fundamental Theorem of Algebra; show that it is true for quadratic polynomials g. (1) Understand and use the Intermediate Value Theorem on a function over a closed interval.

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15. Find all the rational zeros.

16. Find all the rational zeros. 17.

18. Graph the rational function, find the following: x and y intercepts, HA and VA (asymptotes), where the function is increasing and/or decreasing. Find any local extrema (max/min points).

19. Graph the rational function, find the following: x and y intercepts, HA and VA (asymptotes), where the function is increasing and/or decreasing. Find any local extrema (max/min points).

20. Find the inverse of the function. 21. Find the inverse of the function. 22. 23. Describe how to transform the graph of f into the graph of g.

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