If the graph of a function f approaches b as x increases or decreases without bound, then the line y = b is n/an_________________of the graph
of f. The equation of such a line for the graph of
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- Taxicab Function A taxi company charges 2.00 for the first mile or part of a mile and 20 cents for each succeeding tenth of a mile or part Express the cost C in dollars of a ride as a piecewise defined function of the distance x travelled in miles for 0x2 and sketch a graph of this function.arrow_forwardFocusing Distance For a camera with a lens of fixed focal length F to focus on an object located a distance x from the lens, the film must be placed a distance y behind the lens, where F, x, and y are related by 1x+1y=1F See the figure. Suppose the camera has a 55-mm lens F=55. a Express y as a function of x, and graph the function. b What happens to the focusing distance y as the object moves far away from the lens? c What happens to the focusing distance y as the object moves close to the lens?arrow_forwardApplications Height of terrain The graph of the function displays the height in yards of a terrain travelled by a motorcyclist at specific mile markers along a highway. Use the graph to find each of the following. a. Determine the Domain and range b. Determine the height at mile marker 2. c. Determine the height at mile marker 8 d. At what mile markers is the terrain flat? e. Determine the y-intercept. f. Between mile markers 4 and 12, how many times is the height of the terrain 200 yards?arrow_forward
- Fluid Flow The intake pipe of a 100-gallon tank has a flow rate of 10 gallons per minute, and two drainpipes have flow rates of 5 gallons per minute each. The figure shows the volume V of fluid in the tank as a function of time t. Determine whether the input pipe and each drainpipe are open or closed in specific subintervals of the 1 hour of time shown in the graph. (There are many correct answers.)arrow_forwardAverage Rate of Change The graphs of the functions f and g are shown. The function _____ (f or g) has a greater average rate of change between x=0 and x=1 .The function (f or q) has a greater average rate of change between x=1 and x=2 .The functions f and q have the same average rate of change between x = ____ and x = __.arrow_forwardTaxicab Function A taxi company charges $2.00 for the first mile (or part of a mile) and 20 cents for each succeeding tenth of a mile (or part). Express the cost C (in dollars) of a ride as a piecewise defined function of the distance x traveled (in miles) for 0x2 , and sketch a graph of this function.arrow_forward
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