In Exercises 5360, (a) identify the parent function and the transformed parent function

Match each function with its name

Match each function with its name

Match each function with its name

Match each function with its name

Match each function with its name

Match each function with its name

Match each function with its name

Match each function with its name

Match each function with its name

In Exercises 928, use a graphing utility to graph the function. Be sure to choose an appropriate viewing window.

In Exercises 928, use a graphing utility to graph the function. Be sure to choose an appropriate viewing window.

In Exercises 928, use a graphing utility to graph the function. Be sure to choose an appropriate viewing window.

In Exercises 928, use a graphing utility to graph the function. Be sure to choose an appropriate viewing window.

In Exercises 928, use a graphing utility to graph the function. Be sure to choose an appropriate viewing window.

In Exercises 928, use a graphing utility to graph the function. Be sure to choose an appropriate viewing window.

In Exercises 928, use a graphing utility to graph the function. Be sure to choose an appropriate viewing window.

In Exercises 928, use a graphing utility to graph the function. Be sure to choose an appropriate viewing window.

In Exercises 928, use a graphing utility to graph the function. Be sure to choose an appropriate viewing window.

In Exercises 928, use a graphing utility to graph the function. Be sure to choose an appropriate viewing window.

In Exercises 928, use a graphing utility to graph the function. Be sure to choose an appropriate viewing window.

In Exercises 928, use a graphing utility to graph the function. Be sure to choose an appropriate viewing window.

In Exercises 928, use a graphing utility to graph the function. Be sure to choose an appropriate viewing window.

In Exercises 928, use a graphing utility to graph the function. Be sure to choose an appropriate viewing window.

In Exercises 928, use a graphing utility to graph the function. Be sure to choose an appropriate viewing window.

In Exercises 928, use a graphing utility to graph the function. Be sure to choose an appropriate viewing window.

In Exercises 928, use a graphing utility to graph the function. Be sure to choose an appropriate viewing window.

In Exercises 928, use a graphing utility to graph the function. Be sure to choose an appropriate viewing window.

In Exercises 928, use a graphing utility to graph the function. Be sure to choose an appropriate viewing window.

In Exercises 2936, evaluate the function for the indicated values.(a) (b) (c) (d)

In Exercises 2936, evaluate the function for the indicated values.(a) (b) (c) (d)

In Exercises 2936, evaluate the function for the indicated values.(a) (b) (c) (d)

In Exercises 2936, evaluate the function for the indicated values.(a) (b) (c) (d)

In Exercises 2936, evaluate the function for the indicated values.(a) (b) (c) (d)

In Exercises 2936, evaluate the function for the indicated values.(a) (b) (c) (d)

In Exercises 2936, evaluate the function for the indicated values.(a) (b) (c) (d)

In Exercises 2936, evaluate the function for the indicated values.(a) (b) (c) (d)

In Exercises 3742, sketch the graph of the function.

In Exercises 3742, sketch the graph of the function.

In Exercises 3742, sketch the graph of the function.

In Exercises 3742, sketch the graph of the function.

In Exercises 3742, sketch the graph of the function.

In Exercises 3742, sketch the graph of the function.

In Exercises 4350, graph the function.

In Exercises 4350, graph the function.

In Exercises 4350, graph the function.

In Exercises 4350, graph the function.

In Exercises 4350, graph the function.

In Exercises 4350, graph the function.

In Exercises 4350, graph the function.

In Exercises 4350, graph the function.

In Exercises 51 and 52, (a) use a graphing utility to graph the function, (b) state the domain and range of the function, and (c) describe the pattern of the graph.

In Exercises 51 and 52, (a) use a graphing utility to graph the function, (b) state the domain and range of the function, and (c) describe the pattern of the graph.

In Exercises 5360, (a) identify the parent function and the transformed parent function shown in the graph, (b) write an equation for the function shown in the graph, and (c) use a graphing utility to verify your answers in parts (a) and (b).

In Exercises 5360, (a) identify the parent function and the transformed parent function shown in the graph, (b) write an equation for the function shown in the graph, and (c) use a graphing utility to verify your answers in parts (a) and (b).

In Exercises 5360, (a) identify the parent function and the transformed parent function shown in the graph, (b) write an equation for the function shown in the graph, and (c) use a graphing utility to verify your answers in parts (a) and (b).

In Exercises 5360, (a) identify the parent function and the transformed parent function shown in the graph, (b) write an equation for the function shown in the graph, and (c) use a graphing utility to verify your answers in parts (a) and (b).

In Exercises 5360, (a) identify the parent function and the transformed parent function shown in the graph, (b) write an equation for the function shown in the graph, and (c) use a graphing utility to verify your answers in parts (a) and (b).

In Exercises 5360, (a) identify the parent function and the transformed parent function shown in the graph, (b) write an equation for the function shown in the graph, and (c) use a graphing utility to verify your answers in parts (a) and (b).

In Exercises 5360, (a) identify the parent function and the transformed parent function shown in the graph, (b) write an equation for the function shown in the graph, and (c) use a graphing utility to verify your answers in parts (a) and (b).

In Exercises 5360, (a) identify the parent function and the transformed parent function shown in the graph, (b) write an equation for the function shown in the graph, and (c) use a graphing utility to verify your answers in parts (a) and (b).

Communications The cost of a telephone call between Denver and Boise is $0.60 for the first minute and $0.42 for each additional minute or portion of a minute. A model for the total cost (in dollars) of the phone call is where is the length of the phone call in minutes. (a) Sketch the graph of the model. (b) Determine the cost of a call lasting 12 minutes and 30 seconds.

Communications The cost of using a telephone calling card is $1.05 for the first minute and $0.38 for each additional minute or portion of a minute. (a) A customer needs a model for the cost of using a calling card for a call lasting minutes. Which of the following is the appropriate model? Explain. (b) Graph the appropriate model. Determine the cost of a call lasting 18 minutes and 45 seconds.

Delivery Charges The cost of sending an overnight package from Los Angeles to Miami is $10.75 for a package weighing up to but not including 1 pound and $3.95 for each additional pound or portion of a pound. A model for the total cost (in dollars) of sending the package is where is the weight in pounds. (a) Sketch a graph of the model. (b) Determine the cost of sending a package that weighs 10.33 pounds.

Delivery Charges The cost of sending an overnight package from New York to Atlanta is $9.80 for a package weighing up to but not including 1 pound and $2.50 for each additional pound or portion of a pound. (a) Use the greatest integer function to create a model for the cost of overnight delivery of a package weighing pounds, (b) Sketch the graph of the function.

Wages A mechanic is paid $12.00 per hour for regular time and time-and-a-half for overtime. The weekly wage function is given by where is the number of hours worked in a week. (a) Evaluate and (b) The company increased the regular work week to 45 hours. What is the new weekly wage function?

Snowstorm During a nine-hour snowstorm, it snows at a rate of 1 inch per hour for the first 2 hours, at a rate of 2 inches per hour for the next 6 hours, and at a rate of 0.5 inch per hour for the final hour. Write and graph a piecewise-defined function that gives the depth of the snow during the snowstorm. How many inches of snow accumulated from the storm?

Revenue The table shows the monthly revenue (in thousands of dollars) of a landscaping business for each month of the year 2005, with representing January. A mathematical model that represents these data is (a) What is the domain of each part of the piecewisedefined function? How can you tell? Explain your reasoning. (b) Sketch a graph of the model. (c) Find and and interpret your results in the context of the problem. (d) How do the values obtained from the model in part (b) compare with the actual data values?

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 of fluid in the tank as a function of time Determine the combination of the input pipe and drain pipes in which the fluid is flowing in specific subintervals of the 1 hour of time shown on the graph. (There are many correct answers.) FIGURE FOR 68 True or False?

In Exercises 69 and 70, determine whether the statement is true or false. Justify your answer.A piecewise-defined function will always have at least one -intercept or at least one -intercept.

In Exercises 69 and 70, determine whether the statement is true or false. Justify your answer.can be rewritten as Exploration

Exploration In Exercises 71 and 72, write equations for the piecewise-defined function shown in the graph.

Exploration In Exercises 71 and 72, write equations for the piecewise-defined function shown in the graph.

In Exercises 73 and 74, solve the inequality and sketch the solution on the real number line.

In Exercises 73 and 74, solve the inequality and sketch the solution on the real number line.

In Exercises 75 and 76, determine whether the lines and passing through the pairs of points are parallel, perpendicular, or neither.

In Exercises 75 and 76, determine whether the lines and passing through the pairs of points are parallel, perpendicular, or neither.