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Mock Exam Mathematics Calculus

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10. b 11. a 12. d 13. d 14. e 15. d 16. c 1. Consider the following generalized cubic function: f (x) = ax3 where a is a nonzero real number. What is the derivative of this function? (a) f ′ (x ) = ax2/3 (b) f ′ (x ) = ax2 (c) f ′ (x ) = 3ax2 (d) f ′ (x ) = 3ax (e) f ′ (x ) = ax /3 2. A relation is a mapping that can be expressed in terms of: (a) irrational numbers. (b) rational numbers. (c) quotients of integers. (d) ordered pairs. (e) extrema and inflection points. 3. Which of the following types of functions is not continuous? (a) A step function. (b) A linear function. (c) A constant function. (d) An absolute-value function. (e) A quadratic function. 4. Consider the function: f (x ) x2 3x 2 graphed in rectangular coordinates. Which of the following ordered pairs, if any, reflects an inflection point in the curve? (a) (0,2) (b) (1,0) (c) (3/2,1/4) (d) (2,0) (e) None of the above 5. Which of these statements are true, and which are false? • The limit of the sum of two expressions is equal to the sum of the limits of the expressions. • The limit of the difference between two expressions is equal to the difference between the limits of the expressions (in the same order). • A constant times the limit of an expression is equal to the limit of the expression times the constant. (a) All three of the statements are true. (b) The first statement is false, but the other two are true. (c) The second statement is false, but the other two are true. This study source was downloaded by 100000822939343 from CourseHero.com on 07-29-2021 06:18:56 GMT -05:00 https://www.coursehero.com/file/101396072/Calculus-Mock-answerpdf/ This study resource was shared via CourseHero.com(d) The third statement is false, but the other two are true. (e) All three of the statements are false. 6. If we call the independent variable x and we call the dependent variable y, then the slope of a line passing through two points is equal to: (a) the difference in the y values divided by the difference in the x values. (b) the sum of the y values divided by the sum of the x values. (c) the average of the y values divided by the average of the x values. (d) the ratio of the y values times the ratio of the x values. (e) the product of the y values times the product of the x values.

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