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Q: 2. what is the domain of the function)
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A: The domain is the set of all input values for which given function is well defined.
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Q: determine the domain and range of the function
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A: This question can be solved graphically.
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A: We will find out the required values.
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Q: How do I find the domain and range of a function
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A: Given- To find- The value of the domain and range.
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A: A relation is a set of inputs and outputs that are related in some way.
Q: -x+1, - 10 <x<-3 f (x) = 2- 9, - 3 <x< 3 – 9, 2x + 1, 3 <x < 5
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Q: What are the domain and range of the function? f(2)=3√x-3 Domain: (3, 00) Range: (0, ∞) Domain: [3,…
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What are the domain and range of the function?
Explanation and solution is given below....
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- Find the interval or intervals where the function is increasing and where it is decreasing. Please put it in this format, Increasing : (−∞,1) and (3,∞), Decreasing : (1,3) and please show the solutions. 1. y = x³ - 4x² + 4x 2. y = 8x³ - 9x² + 1 3. y = x⁴ 4. y = 4x⁻¹ + xA rectangular box with volume 182 cubic feet is built with a square base and top. The cost is $1.50 per square foot for the top and the bottom and $2.00 per square foot for the sides. Let x represent the length of a side of the base. Express the cost the box as a function of x.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…
- find the absolute maximum and absolute minimum of the function x - 2cosx on the interval of (-2, 0)Find the intercepts of the function. f(x) = x(x − 5)(x + 5) x-intercept (x, y) = (smallest x-value) x-intercept (x, y) = x-intercept (x, y) = (largest x-value) y-intercept (x, y) =h(x) = 4/((x-1)^2) Show from the definition that the function h(x) = 4/((x-1)^2) is increasing in the interval (-∞, 1) and decreasing in the interval (1,+∞).
- A closed box with a square base is to be constructed. The top and sides will be made of material costing $5 per square foot, while the base will be made of material costing $3 per square foot. The volume of the box is to be 100 cubic feet. Express the total cost of the box as a function of the width of its base.What does it mean when a function does not have any critical numbers. Please explain ALL possibilities of what this means. For example, the function f(x)= (5x)/ (x^2-25) has no critical numbers.To conduct an experiment, the room temperature in a lab needs to be as close as possible to -2 degrees Celsius. Any variation from this target temperature, whether warmer or cooler, is considered an error that could affect the experiment. Function v gives the absolute temperature error as a function of the room temperature in degrees Celsius, x. Select all statements that are true about the function and the situation.
- How do I find th end behavior of f(x)=-(x+1)^(2)+4What is the general Chain Rule? What form does it take for functionsof two independent variables? Three independent variables?Functions defined on surfaces? How do you diagram these different forms? Give examples. What pattern enables one to remember all the different forms?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)