) Find the highest and lowest temperatures recorded. (b) Use these two numbers to find the amplitude. (c) Find the period of the function. (d) What is the trend of the temperature now? (Downward, upward, etc.)
Q: What is the period of the function graphed below? A
A: Topic:- function
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A: I have answered this question in step-2.
Q: What is the period of the function graphed below?
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Q: Based on the graph above, determine the amplitude, midline, and period of the function
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A: To Determine :- The trigonometric function below by fixing the Amplitude and Period in graph form :…
(a) Find the highest and lowest temperatures recorded.
(b) Use these two numbers to find the amplitude.
(c) Find the period of the
(d) What is the trend of the temperature now? (Downward, upward, etc.)
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- Rage of decrease The price of computers has been dropping steadily for the past ten years. If a desktop PC cost 6700 ten years ago, and the same computing power cost 2200 three years ago, find the average rate of decrease per year. Assume a straight-line model.Writing an Equation from a DescriptionIn Exercises 39–46, write an equation for thefunction whose graph is described.39. The shape of f(x) = x2, but shifted three units to theright and seven units down40. The shape of f(x) = x2, but shifted two units to the left,nine units up, and then reflected in the x-axis41. The shape of f(x) = x3, but shifted 13 units to the right42. The shape of f(x) = x3, but shifted six units to the left,six units down, and then reflected in the y-axis43. The shape of f(x) = ∣x∣, but shifted 12 units up andthen reflected in the x-axis44. The shape of f(x) = ∣x∣, but shifted four units to the leftand eight units down45. The shape of f(x) = √x, but shifted six units to the leftand then reflected in both the x-axis and the y-axis46. The shape of f(x) = √x, but shifted nine units downand then reflected in both the x-axis and the y-axisProfit The profit from the production and sale ofx digital cameras is given by the function P(x) =1500x - 8000 - 0.01x2, where x is the number ofunits produced and sold. Graph this function on aviewing window with x between 0 and 500.
- During a snowstorm, a meteoroiogist tracks the amount of accumulating snow. For the first three hours of the storm, the snow fell at a constant rate of one inch per hour. The storm then stopped for two hours and then started again at a constant rate of one-haif inch per hour for the next four hours Create a graph of the situation. Write a piecewise function that models the depth of the snow as a function of time When wil the depth of the snow be 4 inches? How much snow wil there be on the ground ater 4 hours?A $330,000 building is depreciated by its owner. The value y of the building after x months of use is y = 330,000 − 1500x. (a) Graph this function for x ≥ 0. The x y-coordinate plane is given. The line begins at y = 165000 on the positive y-axis, goes down and right, and ends at x = 220 on the positive x-axis. The x y-coordinate plane is given. The line begins at y = 165000 on the positive y-axis, goes down and right, and ends at x = 110 on the positive x-axis. The x y-coordinate plane is given. The line begins at y = 330000 on the positive y-axis, goes down and right, and ends at x = 220 on the positive x-axis. The x y-coordinate plane is given. The line begins at y = 330000 on the positive y-axis, goes down and right, and ends at x = 110 on the positive x-axis. (b) How long is it until the building is completely depreciated (its value is zero)? months(c) The point (50, 255,000) lies on the graph. Explain what this means. The point (50, 255,000) means that after months…The graph of a function f is given. The x y-coordinate plane is given. A curve with 3 parts is graphed. The first part is linear, enters the window in the second quadrant, goes down and right, crosses the x-axis at approximately x = −0.33, crosses the y-axis at y = −0.25, and ends at the open point (1, −1). The second part is the point (1, 1). The third part is linear, begins at the open point (1, −1), goes up and right, crosses the x-axis at x = 2, and exits the window in the first quadrant. Determine whether f is continuous on its domain. continuous not continuous If it is not continuous on its domain, say why. lim x→1+ f(x) ≠ lim x→1− f(x), so lim x→1 f(x) does not exist. The function is not defined at x = 1. The graph is continuous on its domain. lim x→1 f(x) = −1 ≠ f(1)
- The x y-coordinate plane is given. A point, a vertical dashed line, and a function are on the graph. The point occurs at the point (3, 2). The vertical dashed line crosses the x-axis at x = 5. The curve enters the window in the second quadrant goes up and right, sharply turns at the approximate point (−5, 3.5), goes down and right, passes through the open point (−4, 2), crosses the x-axis at x = −3, ends at the closed point (−2, 1), restarts at the open point (−2, 0), goes down and right, exits the window almost vertically just left of the y-axis, reenters the window almost vertically just right of the y-axis, goes down and right, passes through the open point (1, 2), changes direction at the approximate point (2.2, 0.1), goes up and right, ends at the open point (3, 1), restarts at the open point (3, −1), goes down and right, exits the window almost vertically just left of the vertical dashed line at x = 5, reenters the window just right of the vertical dashed line at x = 5, goes up…The number of research article in the prominent journal Physical Review that were written by researchers in Europe during 1983 - 2003 can be modeled by P(t) = 7.0/ (1 + 5.4(1.2)^−t) where t is time in years since 1983. The graphs of P, P', and P" are shown below. Determine, to the nearest whole number, the value of t for which the graph of P is concave up and where it is concave down, and locate any points of inflection. Explain your methods thoroughly, including how the inflection point of f can be determined with each of the three graphs, some more clearly than others. What does the point of inflection tell you about scientific articles?Use the graph of the function f to find approximations of the given values. The x y-coordinate plane is given. The curve enters the window at approximately x = 0.15 on the positive x-axis, goes up and right becoming less steep, passes through the point (1, 50), passes through the point (2, 75), changes direction at the approximate point (2.47, 77.4), goes down and right becoming more steep, passes through the point (3, 75), passes through the point (4, 62.5), goes down and right becoming less steep, passes through the point (5, 50), changes direction at the approximate point (5.53, 47.6), goes up and right becoming more steep, and exits the window in the first quadrant. (a) f(1) (b) f(2) (c) f(3) (d) f(5) (e) f(3) − f(2) (f) f(3 − 2)
- Determining concavity. Determine the open intervals on which the graph is concave upward or concave downwardApplication of derivative Optimization We are going to fence in a rectangular field. Starting at the bottom of the field and moving around the field in a counter clockwise manner the cost of material for each side is $6/ft, $9/ft, $12/ft and $14/ft respectively. If we have $1000 to buy fencing material determine the dimensions of the field that will maximize the enclosed.The graph of a function is given. Find the approximate coordinates of all points of inflection of the function (if any). (If there are no inflection points, enter DNE.) The x y-coordinate plane is given. A curve with 2 parts is graphed. The first part enters the window in the third quadrant, goes up and right getting less steep, changes direction at the point (−4, 0), goes down and right getting more steep, and exits the viewing window in the third quadrant just to the left of the y-axis. The second part enters the window in the fourth quadrant just to the right of the y-axis, goes up and right getting less steep, passes through the point (4, 0), goes up and right getting more steep, and exits the viewing window in the first quadrant. (x, y) =