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In Exercises 8 – 14, classify each statement as either true or false.
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- In Exercises 47–58, say whether the function is even, odd, or neither.Give reasons for your answer.arrow_forwardIn Exercises 7–10, determine from its graph if the function is one-to-one.arrow_forwardIn Exercises 139–142, determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. x2 – 25 = x - 5 5 139. X - x? + 7 140. = x? + 1 7 7 domain of f(x) = is x(x – 3) + 5(x - 3) 141. The (-0, 3) U (3, 0). 142. The restrictions on the values of x when performing the division f(x) h(x) g(x) k (x) are g(x) + 0, k(x) # 0, and h(x) + 0.arrow_forward
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- Suppose f and g are the piecewise-defined functions defined here. For each combination of functions in Exercises 51–56, (a) find its values at x = -1, x = 0, x = 1, x = 2, and x = 3, (b) sketch its graph, and (c) write the combination as a piecewise-defined function. f(x) = { (2x + 1, ifx 0 g(x) = { -x, if x 2 8(4): 51. (f+g)(x) 52. 3f(x) 53. (gof)(x) 56. g(3x) 54. f(x) – 1 55. f(x – 1)arrow_forwardExercises 65–74: Use the graph of f to determine intervals where f is increasing and where f is decreasing.arrow_forwardIn Exercises 25–30, give a formula for the extended function that iscontinuous at the indicated point.arrow_forward
- In Exercises 83–86, determine whether thestatement is true or false. If it is false, explain why or give anexample that shows it is false. If the graph of a function has three x-intercepts, then it musthave at least two points at which its tangent line is horizontalarrow_forwardFind the natural domain and graph the functions in Exercises 15–20.arrow_forwardIn Exercises 37–40, use the vertical line test (see Exercise 35) to determine whether the curve is the graph of a function.arrow_forward
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