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Calc 1 Lab 2, pg4

# Calc 1 Lab 2, pg4 - For each of the ﬁmctions listed below...

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Unformatted text preview: For each of the ﬁmctions listed below do the following a. Use Maple to ﬁnd out which values make the function positive and which values make the function negative. b. Have Maple plot the function and read from the graph where the function is positive and where it is negative. c. Are the results for a and b the same? Here are the functions. i. -x2+x+12 ii. (2x—3) / (x2+8x+15) PART 1111 These problems deal with different ways of combining functions to create more complicated functions and the idea of “natural domain”. The natural domain of a function is the set of all real numbers that can be used for the input value of the function with the output (value of the function) being a real number. The values that cannot be used are usually values that would cause a division by zero (which is undeﬁned) or the square root (or any even root) of a negative number (which is a complex number). For each pair of functions listed below do the following — a. Find the natural domains of f(x) and g(x) b. Find f(x) — g(x) and its natural domain. c. Find f(x)/g(x) and its natural domain. (1. Find f(g(x)) and its natural domain. c. Find g(f(x)) and its natural domain. Here are the functions. i. f(x) = sqrt( —l + x ), g(x) = 3x2 - x ii. f(x) = 2*x - l, g(x) = sqrt( x2 — 3 ) ...
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