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UA MATH 124 - Functions

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FUNCTIONS NAME__________________________________1. As you travel at a fairly constant speed from Tucson to Bisbee (94 miles), you pass through Benson. Benson is 40 miles from Tucson. Sketch graphs to represent the functions below. Label your graphs. A. distance from Tucson as a function of time. B. distance from Benson as a function of time C. distance from Bisbee as a function of time. D. speed as a function of distance. 2. Federal tax is determined by taxable income. Use the table below to create a piecewise formula to represent tax as a function of taxable income. Include a sketch of its graph.Taxable Income What you pay in tax as an individual$0 - $22,750 15% of income over $0$22,750 - $55,100 $3,412.50 plus 28% of income over $22,750$55,100 - $115,000 $12,470.50 plus 31% of income over $55,100 3. Sketch a graph of  ( ) 1oH H t   . Label the axes and find the intercepts. Assume the constants are positive.4. The rate of flow, R, of blood from the heart in a person who bicycles for twenty minutes is given by the graph below. The units of Rare liters per minute. Time is measured in minutes. A. Find (5)R and give a practical interpretation. B. Solve for t: ( ) 10R t . C. What is the domain and range of this function? 05101520253035400 5 10 15 20 25 30 35minutesliters per


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UA MATH 124 - Functions

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