Heaviside Function The Heaviside function
is widely used in engineering applications. (See figure.) To print an enlarged copy of the graph, go to
Sketch the graph of each function by hand.
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College Algebra
- The ad shown at left was in the local newspaper. Suppose you are hired for the job described in the ad. a. If x is the number of hours you work per week and y is your weekly gross pay, write the equation for y. (Be sure to include any restrictions on the variable x.) b. Use the function rule you have written in part (a) to complete Table 5. c. Construct a line graph from the information in Table 5. d. State the domain and range of this function. e. What is the minimum amount you can earn in a week with this job? What is the maximum amount?arrow_forwardFill in the blanks. When fxbas x, y=bis a of the graph of f.arrow_forwardEarthquake the graph shows the vertical acceleration of the Ground from the 1994 Northridge earthquake in Los Angles, as measured by a seismograph. (Here t represents the time in seconds.) (a) At what time t did the earthquake first make noticeable movement of the Earth? (b) At what time t did the earthquakes seem to end? (c) At what time t was the maximum intensity of the earthquake list reachedarrow_forward
- Commute to Work Jade and her roommate Jari commute to work each morning, traveling west on I-10. One morning Jade left for work at 6:50 a.m., but Jari left 10 minutes later. Both drove at a constant speed. The following graphs show the distance in miles each of them has traveled on I-10 at time t in minutes, where t = 0 is 7 a.m. a Use the graph to decide which of them is traveling faster. b Find the speed in mi/h at which each of them is driving. c Find linear functions f and g that model the distances that Jade and Jari travel as functions of t in minutes.arrow_forwardLinear? Determine whether the given function is linear. f(x)=(2+3x)2arrow_forward
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