Problem 1E: If f(x)=x+2x and g(u)=u+2u, is it true that f = g? Problem 2E: If f(x)=x2xx1andg(x)=x is it true that f = g? Problem 3E: The graph of a function f is given. (a) State the value of f(1). (b) Estimate the value of f(1). (c)... Problem 4E: The graphs of f and g are given. (a) State the values of f(4) and g(3). (b) For what values of x is... Problem 5E: Figure 1 was recorded by an instrument operated by the California Department of Mines and Geology at... Problem 7E: Determine whether the curve is the graph of a function of x. If it is, state the domain and range of... Problem 8E: Determine whether the curve is the graph of a function of x. If it is, state the domain and range of... Problem 9E: Determine whether the curve is the graph of a function of x. If it is, state the domain and range of... Problem 10E: Determine whether the curve is the graph of a function of x. If it is, state the domain and range of... Problem 11E: Shown is a graph of the global average temperature T during the 20th century. Estimate the... Problem 12E: Trees grow faster and form wider rings in warm years and grow more slowly and form narrower rings in... Problem 13E: You put some ice cubes in a glass, fill the glass with cold water, and then let the glass sit on a... Problem 14E: Three runners compete in a 100-meter race. The graph depicts the distance run as a function of time... Problem 15E: The graph shows the power consumption for a day in September in San Francisco. (P is measured in... Problem 16E: Sketch a rough graph of the number of hours of daylight as a function of the time of year. Problem 17E: Sketch a rough graph of the outdoor temperature as a function of time during a typical spring day. Problem 18E: Sketch a rough graph of the market value of a new car as a function of time for a period of 20... Problem 19E: Sketch the graph of the amount of a particular brand of coffee sold by a store as a function of the... Problem 20E: You place a frozen pie in an oven and bake it for an hour. Then you take it out and let it cool... Problem 21E: A homeowner mows the lawn every Wednesday afternoon. Sketch a rough graph of the height of the grass... Problem 22E: An airplane takes off from an airport and lands an hour later at another airport, 400 miles away. If... Problem 23E: Temperature readings T (in F) were recorded every two hours from midnight to 2:00 PM in Atlanta on... Problem 24E: Researchers measured the blood alcohol concentration (BAC) of eight adult male subjects after rapid... Problem 25E: If f(x) = 3x2 x + 2, find f(2), f(2), f(a), f(a), f(a + 1), 2f(a), f(2a), f(a2), [f(a)]2, and f(a +... Problem 26E: A spherical balloon with radius r inches has volume V(r)=43r3. Find a function that represents the... Problem 27E: Evaluate the difference quotient for the given function. Simplify your answer. 27.... Problem 28E: Evaluate the difference quotient for the given function. Simplify your answer. 28.... Problem 29E: Evaluate the difference quotient for the given function. Simplify your answer. 29. f(x)=1x,... Problem 30E: Evaluate the difference quotient for the given function. Simplify your answer. 30. f(x)=x+3x+1,... Problem 31E: Find the domain of the function. 31. f(x)=x+4x29 Problem 32E: Find the domain of the function. 32. f(x)=2x35x2+x6 Problem 33E: Find the domain of the function. 33. f(t)=2t13 Problem 34E: Find the domain of the function. 34. g(t)=3t2+t Problem 35E: Find the domain of the function. 35. h(x)=1x25x4 Problem 36E: Find the domain of the function. 36. f(u)=u+11+1u+1 Problem 37E: Find the domain of the function. 37. F(p)=2p Problem 38E: Find the domain and range and sketch the graph of the function h(x)=4x2. Problem 39E: Find the domain and sketch the graph of the function. 39. f(x)=1.6x2.4 Problem 40E: Find the domain and sketch the graph of the function. 40. g(t)=t21t+1 Problem 41E: Evaluate f(3), f(0), and f(2) for the piecewise defined function. Then sketch the graph of the... Problem 42E: Evaluate f(3), f(0), and f(2) for the piecewise defined function. Then sketch the graph of the... Problem 43E: Evaluate f(3), f(0), and f(2) for the piecewise defined function. Then sketch the graph of the... Problem 44E: Evaluate f(3), f(0), and f(2) for the piecewise defined function. Then sketch the graph of the... Problem 45E: Sketch the graph of the function. 45. f(x) = x + |x| Problem 46E: Sketch the graph of the function. 46. f(x) = |x + 2| Problem 47E: Sketch the graph of the function. 47. g(t) = |1 3t| Problem 48E: Sketch the graph of the function. 48. h(t) = |t| + |t + 1| Problem 49E: Sketch the graph of the function. 49. f(x)={|x|if|x|11if|x|1 Problem 50E: Sketch the graph of the function. 50. g(x) = ||x| 1| Problem 51E: Find an expression for the function whose graph is the given curve. 51. The line segment joining the... Problem 52E: Find an expression for the function whose graph is the given curve. 52. The line segment joining the... Problem 53E: Find an expression for the function whose graph is the given curve. 53. The bottom half of the... Problem 54E: Find an expression for the function whose graph is the given curve. 54. The top half of the circle... Problem 55E: Find an expression for the function whose graph is the given curve. 55. Problem 56E: Find an expression for the function whose graph is the given curve. 56. Problem 57E: Find a formula for the described function and state its domain. 57. A rectangle has perimeter 20 m.... Problem 58E: Find a formula for the described function and state its domain. 58. A rectangle has area 16 m2.... Problem 59E: Find a formula for the described function and state its domain. 59. Express the area of an... Problem 60E: Find a formula for the described function and state its domain. 60. A closed rectangular box with... Problem 61E: Find a formula for the described function and state its domain. 61. An open rectangular box with... Problem 62E: A Norman window has the shape of a rectangle surmounted by a semicircle. If the perimeter of the... Problem 63E: A box with an open top is to be constructed from a rectangular piece of cardboard with dimensions 12... Problem 64E: A cell phone plan has a basic charge of 35 a month. The plan includes 400 free minutes and charges... Problem 65E: In a certain state the maximum speed permitted on freeways is 65 mi/h and the minimum speed is 40... Problem 66E: An electricity company charges its customers a base rate of 10 a month, plus 6 cents per... Problem 67E: In a certain country, income tax is assessed as follows. There is no tax on income up to10,000. Any... Problem 68E: The functions in Example 10 and Exercise 67 are called step function because their graphs look like... Problem 69E: Graphs of f and g are shown. Decide whether each function is even, odd, or neither. Explain your... Problem 70E: Graphs of f and g are shown. Decide whether each function is even, odd, or neither. Explain your... Problem 71E: (a) If the point (5, 3) is on the graph of an even function, what other point must also be on the... Problem 72E: A function f has domain [5, 5] and a portion of its graph is shown. (a) Complete the graph of f if... Problem 73E: Determine whether f is even, odd, or neither. If you have a graphing calculator, use it to check... Problem 74E: Determine whether f is even, odd, or neither. If you have a graphing calculator, use it to check... Problem 75E: Determine whether f is even, odd, or neither. If you have a graphing calculator, use it to check... Problem 76E: Determine whether f is even, odd, or neither. If you have a graphing calculator, use it to check... Problem 77E: Determine whether f is even, odd, or neither. If you have a graphing calculator, use it to check... Problem 78E: Determine whether f is even, odd, or neither. If you have a graphing calculator, use it to check... Problem 79E: If f and g are both even functions, is f + g even? If f and g are both odd functions, is f + g odd?... Problem 80E: If f and g are both even functions, is the product of fg even? If f and g are both odd functions, is... format_list_bulleted
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College AlgebraAlgebraISBN:9781305115545Author:James Stewart, Lothar Redlin, Saleem WatsonPublisher:Cengage Learning
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