For Exercises 129–134, use a graphing utility to graph the piecewise-defined function.
Is there actually a “"graph”" in the graph at x =2?
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College Algebra Essentials
- Exercises 65–74: Use the graph of f to determine intervals where f is increasing and where f is decreasing.arrow_forwardIn Exercises 47–58, say whether the function is even, odd, or neither.Give reasons for your answer.arrow_forwardIn Exercises 1–6, find the domain and range of each function.1. ƒ(x) = 1 + x2 2. ƒ(x) = 1 - 2x3. F(x) = sqrt(5x + 10) 4. g(x) = sqrt(x2 - 3x)5. ƒ(t) = 4/3 - t6. G(t) = 2/t2 - 16arrow_forward
- In Exercises 20–22, find the domain of each function. 20. f(x) = 7x - 3 1 21. g(x) x + 8 3x 22. f(x) = x + x - 5arrow_forwardThe function f(x) = 0.4x2 – 36x + 1000 models the number of accidents, f(x), per 50 million miles driven as a function of a driver's age, x, in years, for drivers from ages 16 through 74, inclusive. The graph of f is shown. Use the equation for f to solve Exercises 45–48. 1000 flx) = 0.4x2 – 36x + 1000 16 45 74 Age of Driver 45. Find and interpret f(20). Identify this information as a point on the graph of f. 46. Find and interpret f(50). Identify this information as a point on the graph of f. 47. For what value of x does the graph reach its lowest point? Use the equation for f to find the minimum value of y. Describe the practical significance of this minimum value. 48. Use the graph to identify two different ages for which drivers have the same number of accidents. Use the equation for f to find the number of accidents for drivers at each of these ages. Number of Accidents (per 50 million miles)arrow_forwardFind the natural domain and graph the functions in Exercises 15–20.arrow_forward
- In Exercises 79–82, find a function that satisfies the given conditions and sketch its graph. (The answers here are not unique. Any function that satisfies the conditions is acceptable. Feel free to use formulas defined in pieces if that will help.)arrow_forwardGraph the functions in Exercises 25–28.arrow_forwardExercises 111-114: Determine the domain and range of function f. Use interval notation. 111. f(x) = =(x + 1)² – 5 112. f(x) = 2(x – 5)² + 10 113. f(x) = V-x – 4 – 2 114. f(x) = -Vx – 1 + 3arrow_forward
- In Exercises 29–30, find f(-x) – f(x) for the given function f. Then simplify the expression. 29. f(x) = x + x - 5 30. f(x) = x² – 3x + 7arrow_forwardFor Exercises 93–102, write the domain of the function in interval notation. VI - P 93. f(x) = V9 - ? 95. h(a) = Va² – 5 94. g(t) = 96. f(u) = Vu? – 7 97. p(x) = V2x? + 9x – 18 98. q(x) = V4x² + 7x – 2 - 1 1 99. r(x) 100. s(x) V2r + 9x – 18 V4x + 7x – 2 - 3x 2x 101. h(x) = 102. k(x) = Vx + 2 Vx + 1arrow_forwardDetermine whether the function is even, odd, or neither k(w) = (1 - w) 3 + (1 + w) 3arrow_forward
- Algebra & Trigonometry with Analytic GeometryAlgebraISBN:9781133382119Author:SwokowskiPublisher:Cengage