Quiz 3 (Prequiz) - AP Calculus AB PreQuiz#3 Objectives You...

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Unformatted text preview: AP Calculus AB PreQuiz #3 Objectives You will be able to evaluate a function at specified values You will be able to find the domain and range of a function and sketch its graph You will be able to determine if y is a function of x from an equation or a graph (vertical line test) You will be able to evaluate composite functions and decompose functions. You will be able to determine whether the function is even, odd, or neither. Name___________________________________ SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question. Evaluate the function. 1) For f(x) = 3 - x, find f(m + 2). 2) For f(x) = x2 + 1, find f(a - 2). 3) For g(x) = x2 - 20, find g(7). For the given function, find and simplify [f(x + h) - f(x)]/h. 4) f(x) = 7x2 5) f(x) = x2 + 5x + 1 Find the domain and range of the function. 6) f(x) = -7 - x2 7) g(z) = 16 - z 2 2 2 + x 6) 7) 4) 5) 1) 2) 3) 8) f(x) = 8) Determine whether or not the graph is a graph of a function of x. 9) y 9) x 1 Find the domain and graph the function. t - 5 10) F(t) = t - 5 y 10) 2 -8 -6 -4 -2 2 4 6 8 x -2 Determine if the function is even, odd, or neither. 11) f(x) = 4x2 - 4 3x x2 + 9 11) 12) g(x) = 12) 13) f(x) = 7 2 - 4 x 13) Solve the problem. 14) If f(x) = 3x + 7 and g(x) = 5x - 1, find f(g(x)). x - 5 and g(x) = 6x + 5, find g(f(x)). 6 14) 15) If f(x) = 15) Express the given function as a composite of functions f and g such that y = f(g(x)). 1 16) y = x2 - 5 16) 17) y = (3x - 13)2 17) 2 Solve the problem. 18) A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 12 inches by 27 inches by cutting out equal squares of side x at each corner and then folding up the sides as in the figure. Express the volume V of the box as a function of x. 27 18) 12 19) The figure shown here shows a rectangle inscribed in an isosceles right triangle whose hypotenuse is 8 units long. Express the area A of the rectangle in terms of x. 19) -4 4 3 Answer Key Testname: QUIZ 3 (PREQUIZ) 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 1 - m 2 - 4a + 5 a 29 7(2x+h) 2x + h + 5 D: (-, ), R: (-, -7] D: [-4,4], R: [0,4] D: [0,), R: 0,1 Function D: (-, 5) (5, ) y 2 -8 -6 -4 -2 2 4 6 8 x -2 11) 12) 13) 14) 15) Even Odd Even 15x + 4 x 1 16) f(x) = , g(x) = x2 - 5 x 17) f(x) = x2 , g(x) = 3x - 13 18) V(x) = x(12 - 2x)(27 - 2x) 19) A(x) = 2x(4 - x) 4 ...
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This note was uploaded on 02/03/2012 for the course MATH 101 taught by Professor Lee during the Spring '11 term at International Institute for Higher Education.

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