In Problems 19–26, write the function whose graph is the graph of y = x', but is:19. Shifted to the right 4 units20. Shifted to the left 4 units21. Shifted up 4 units22. Shifted down 4 units23. Reflected about the y-axis24. Reflected about the x-axis25. Vertically stretched by a factor of 426. Horizontally stretched by a factor of 4

The given function is y=x3Note: we are answered with first three parts only, resubmit with question…

Answered: In Problems 19–26, write the function…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Consider the graph of the function y=0.111111x^2 -1. This graph has two x-intercepts: negative and positive. a. What is the negative x intercept on this graph b. What is the postive x intercept on this graph c. What is the y intercept on this graph
4. Graph the following set of functions on the set of same coordinate axis and explain how the sketches are related to each other using your knowledge of transformation of graph (chapter 1.5). Find the domain, range, x and y intercepts. a) y= 3* y = -3* y = 3-* y =-3-* () -x b) y = y =- = y = - How does the base play a role on an exponential graph?
Evaluate the following question. Show your work. 1. The function y = x^3 has undergone the following sets of transformations: reflected in the y-axis,horizontally stretched by a factor of 2, and vertically translated 2 units up. If y = x^3 passes through the points(1, 1), (3, 27), and (4, 64), list the coordinates of these transformed points on the new curve.
8. The Federal debt held by the public as a percent of the gross domestic product (GDP) is modeled by the function y = 0.00630t3 – 0.289t² + 4.00t + 25.3 where t is the time (in years) since 1980. Find the average public debt as a percent of GDP, from 2000 to 2015.
19. Below is the data set for the temperature on an exceptionally hot day in Boise over an 8-hour period. The time t = 0 corresponds to 12:00 p.m. and range temperature T(t) is measured in degrees Fahrenheit as a function of time t. 12:00 p.m. 1:00 p.m. 2:00 p.m. 3:00 p.m. 4:00 p.m. 5:00 p.m. 6:00 p.m. 7:00 p.m. 8:00 p.m. Time, t Temp (°F), T(t) 0 74 1 80 86 95 101 100 96 88 76 2 3 اداس 4 5 6 7 8 Temperature (degrees F) 105 100 95 90 85 80 75 70 65 60 0 1 b) Write the linearization for the temperature at t = 3. 2 a) Find a good approximation of the ROC at t = 3. Include units. Temperature vs. Time 6 3 5 Time (hours starting at 12:00 p.m.) c) Find the linear approximation for the temperature at t = 3.5 (3:30PM). 7 8 9
The U.S. population can be modeled by the function y=165.6x¹.345, where y is in thousands and x is the number of years after 1800. (a) What was the population in 1970, according to this model? (b) is the graph of this function concave up or concave down? What does this mean? (c) Use numerical or graphical methods to find when the model estimates the population was 94,150,000. (a) According to the model, the population in 1970 was thousands. (Round to the nearest integer as needed.)
I need help with this calc question. Thanks!!
Question 3 A group of students wish to charter a bus which holds at most 45 people to go to an educational tour. The bus company requires at least 30 people to go. It charges GHe 100 per person if up to 40 people go. If more than 40 people go, it charges each person GHe 100 less times the number more than 40 who go. 3a) Determine the total cost as a function of the number of students who go 3b) Deduce and com the domain of the function. (3c) Show that the lines 5x+6y= 20 and 18x-15y = 17 are at right angles. 3d) Kojo Manu enjoys throwing spaghetti on his days off. He stands in his backyard every Saturday afternoon. His throwing arm is quite good; his record spaghetti toss was 12 feet in the air, after 4 seconds. At 2 seconds, the spaghetti is 8 feet high. At 5 seconds, it is at 4 feet.
The following graph shows the approximate value of the United States Consumer Price Index (CPI) from December 2006 through July 2007. On the graph titled "CPI Dec 2006-July 2007," the horizontal axis is labeled t and the vertical axis is labeled I(t). The curve begins at the point (0, 202), goes up and right becoming more steep, passes through the approximate point (3.5, 205.5), goes up and right becoming less steep, and ends at the approximate point (7, 208.7). The approximating curve shown on the figure is given by I(t) = −0.04t3 + 0.4t2 + 0.1t + 202 (0 ≤ t ≤ 7), where t is time in months since the start of December 2006. (a) Use the model to estimate the monthly inflation rate in January 2007 (t = 1). Recall that the inflation rate is I′(t) I(t) . (Round your answer to three decimal places.) (b) Was inflation slowing or speeding up in January 2007? slowing downspeeding up (c) When was inflation speeding up? When was inflation…

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