HW Assignment # 1

HW Assignment # 1 - Mathematics I for Engineers HW...

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Mathematics I for Engineers HW assignment # 1 Topics covered: Different representations of a function Domain and Range of a function Even and Odd functions Linear Model 1.- Consider the following graph of the function f . a) State the exact value of f (-1) b) Estimate the value f (2) c) For what values x , f(x) =2? d) Estimate the values of x such that f(x) =0. e) State the domain and range of f . f) On what interval is f increasing? 2.- The following graph shows the weight of a certain person as a function of age. Describe in words hos this person´s weight varies over time. What do you think happened when this person was 30 years old ¿ 3.- A homeowner mows the lawn every Wednesday afternoon. Sketch a rough graph of the height of the grass as a function of time over the course of a four-week period.
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Mathematics I for Engineers 4.- The following figure shows fifty years of fertilizer use in the US, India, and former Soviet Union over a period of 50 years(from 1950 to 2000). a) Estimate fertilizer use in 1970 in the three countries. b) Write a sentence for each of the three graphs describing how fertilizer use has changed in each region over this 50-year period. 5.- The gas mileage of a car(in mile per gallon) is highest when the car is going about 45 miles per hour and is lower when the car is going faster or slower than 45 mph. Graph gas mileage as a function of speed of the car. 6.- a) If 2 3 4 ) ( x x x f , evaluate the quotient h f h f ) 3 ( ) 3 ( . Simplify you answer.
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