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

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Unformatted text preview: Calculus 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) = 6 - x, find f(m + 2). 2) For f(x) = x2 - 5, find f(a - 4). 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) = 5x2 Find the domain and range of the function. 5) f(x) = -10 - x2 6) g(z) = 9 - z 2 3 10 + x 7) f(x) = Determine whether or not the graph is a graph of a function of x. 8) y x 1 9) y x Find the domain and graph the function. t + 4 10) F(t) = t + 4 y 2 -8 -6 -4 -2 2 4 6 8 x -2 Determine if the function is even, odd, or neither. 11) f(x) = 5x2 - 2 12) f(x) = -4x4 + 6x + 7 13) f(x) = -5x5 + 2x3 Solve the problem. 14) If f(x) = 8x + 12 and g(x) = 5x - 1, find f(g(x)). x - 7 and g(x) = 3x + 7, find g(f(x)). 3 15) If f(x) = 1 16) If f(x) = and g(x) = 5x6 , find g(f(x)). x 2 Express the given function as a composite of functions f and g such that y = f(g(x)). 1 17) y = 2 - 8 x 18) y = (2x + 11)4 Solve the problem. 19) A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 12 inches by 26 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. 26 12 3 Answer Key Testname: QUIZ 3 (PREQUIZ) 1) 2) 3) 4) 5) 6) 7) 4 - m 2 - 8a + 11 a 29 5(2x+h) D: (-, ), R: (-, -10] D: [-3,3], R: [0,3] 3 D: [0,), R: 0, 10 8) Function 9) Not a function 10) D: (-, -4) (-4, ) y 2 -8 -6 -4 -2 2 4 6 8 x -2 11) 12) 13) 14) 15) Even Neither Odd 40x + 4 x 5 16) x6 1 17) f(x) = , g(x) = x2 - 8 x 18) f(x) = x4 , g(x) = 2x + 11 19) V(x) = x(12 - 2x)(26 - 2x) 4 ...
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