Problem 1E: If f(x)=x+2x and g(u)=u+2u, is it true that f=g? Problem 2E: If f(x)=x2xx1 and g(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 For... 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 6E: In this section we discussed examples of ordinary, everyday functions: Population is a function of... 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 Tin F were recorded every two hours from midnight to 2:00 pm in Atlanta on June... Problem 24E: Researchers measured the blood alcohol concentration BAC of eight adult male subjects after rapid... Problem 25E: If f(x)=3x2x+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+h). 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. f(x)=4+3xx2,... Problem 28E Problem 29E: Evaluate the difference quotient for the given function. Simplify your answer. f(x)=1x, f(x)f(a)xa Problem 30E Problem 31E: Find the domain of the function. f(x)=x+4x29 Problem 32E: Find the domain of the function. f(x)=2x35x2+x6 Problem 33E Problem 34E Problem 35E Problem 36E Problem 37E: Find the domain of the function. 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. f(x)=1.6x2.4 Problem 40E: Find the domain and sketch the graph of the function. 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 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. f(x)=x+|x| Problem 46E: Sketch the graph of the function. f(x)=|x+2| Problem 47E: Sketch the graph of the function. g(t)=|13t| Problem 48E: Sketch the graph of the function. h(t)=|t|+|t+1| Problem 49E: Sketch the graph of the function. f(x)={|x|if|x|11if|x|1 Problem 50E Problem 51E: Find an expression for the function whose graph is the given curve. The line segment joining the... Problem 52E Problem 53E: Find an expression for the function whose graph is the given curve. The bottom half of the parabola... Problem 54E Problem 55E: Find an expression for the function whose graph is the given curve. Problem 56E: Find an expression for the function whose graph is the given curve. Problem 57E Problem 58E: Find a formula for the described function and state its domain. A rectangle has area 16m2. Express... Problem 59E: Find a formula for the described function and state its domain. Express the area of an equilateral... Problem 60E: Find a formula for the described function and state its domain. A closed rectangular box with volume... Problem 61E 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 to 10, 000.... Problem 68E 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 it... Problem 73E 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 Problem 77E Problem 78E: Determine whether f is even, odd, or neither. If you have a graphing calculator, use it to check... Problem 79E Problem 80E: If f and g are both even functions, is the product fg even? If f and g are both odd functions, is fg... format_list_bulleted