Graph the function. Y = 1/2x^3. Plot five points on the graph of the function: one point with x = 0, two points with negative x-values, and two points with positive x-values. (previous question did not show five points, just the illustration of what the graph should be)

Q: sketch the graphof the function.y = 3x−1

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Q: It has been observed that a particular plant's growth is directly proportional to time. When we last…

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Q: Describe geometrically when a function typically does not have a derivative at a point.

A: To describe geometrically when a function typically does not have a derivative at a point.

Q: Suppose that Bianca walks at a constant rate of 3 miles per hour. Explain what it means that the…

A: Linear function has variable in power of 1 only, i.e., there is no power of variable more than one.…

Q: A parking lot charges $2 per hour for the first 4 hours, then $3 per hour after that. Which…

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Q: The price of 1 gallon of unleaded gasoline at the pump dropped to $2.19 on January 1, 2015, and…

A: As the price of  1 gallon of unleaded gasoline is decreasing  4 cents per month starting from…

Q: above the ground of the concrete block after s seconds?

A: we have to write a function representing the given statement to determine height h in feet after s…

Q: Describe the graph of f (x) = ex

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Q: I can’t understand how to find a equation for the function even with the plotted point?

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Q: A helicopter is hovering at an altitude of 1,450 feet above sea level.  It descends at a constant…

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Q: Estimate the average rate of change for the graph above from X=2 to x=3 

A: We have to estimate the average rate of change for the graph above from x=2 to x=3 

Q: The worst ecological disaster in U.S. history began on April 20, 2010, and was caused by an…

A: bn=2.520n & rn=441,000n a). an=bn-rn=2.520n-441,000n=-4,40,997.48n

Q: Did your image left or right from the parent function?

A: Given graph is

Q: A 1 lb sponge initially contains 5 lb of water. As it is lifted up from the ground, the sponge loses…

A: Answer is option d here decrement in water is linearly (as constant rate)

Q: Graph the derivative of the function graphed on the right.

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Q: What can you conclude about the inverse of a function y = ƒ(x) whose graph is a line through the…

A: Given Data The function is y=f(x).   The graph is a line through the origin with a nonzero slope m.…

Q: The initial weight of a container is 6.2 pounds. As water is added to the container, the weight…

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Q: Arman traveled a distance of 6x2-13x-5 kilometers at a rate of 3x+1 kph.Determine a function that…

A: Let's find.

Q: What must be done to a function’s equation so that its graph is reflected about the x-axis?

A: What must be done to a function’s equation so that its graph is reflected about the x-axis?

Q: The second edition of a textbook was 799 pages long. By the time it got to the sixth edition the…

A: Suppose, L represents page length and n represents the edition number. The points are written as (n,…

Q: What information about a graph can be found from the second derivative?

A: What information about a graph can be found from the second derivative?

Q: A certain chocolates bar costs 35.00 per piece.however,if you buy more than 10 pieces,they will…

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Q: Write the equation of a function if its rate of changeis -8 and its initial value is -7.

A: GivenInitial value of a function=-7Rate of change of function=-8To find equation.

Q: Describe the x-values at which the graph is differentiable.

A: The given graph is the graph of the modulus function that is shifted downward by 1 unit and 2 units…

Q: The sum of two positive numbers is 60. Find a function that models their product P in terms of x,…

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: A factory machine was purchased for $45,000 and has an estimated lifetime of 8 years. If the scrap…

A: Solution:   Initial Value = 45000 Final Value =  3000 rate of depreciation = r t = Time period = 8…

Q: The marginal cost of producing the xth box of light bulbs is  6 + x2/1,000 dollars per box.…

A: Given: The marginal cost of producing the xth box of light bulbs is

Q: A rectangular plot of ground is to be enclosed by a fence and then divided down the middle by…

A: Given:length of the force down the middle=x feetcost of the fence down th middle=php 36.00 per foot…

Q: Find an equation for the graph sketched below 구 -5 -4 -3 -2 -1 4 5 -4 -5 -- -구 f(x) =

A: Explanation of the answer is as follows

Q: sketch the graphof the function.y = 2−x2

A: Graph of the function can be drawn with the help of the points that lie on the curve. Substitution…

Q: A rancher wants to fence in an area of 1,500,000 square feet in a rectangular field and then divide…

A: Let the length of the rectangular field be y and the width be x. Assume the farmer divides the field…

Q: -10

A:

Q: A radioactive substance has a half-life of one week. In other words, at the end of every week the…

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Q: what is the slope at x=20 from this graph

A: Given,           The graph is shown below :

Q: one leg of a right triangle is 1 in/min and the other leg increases 2 inches per min. What is the…

A: Let the first leg of the right triangle be a and the other leg be b. Let the hypotenuse of the right…

Q: Differentiate the function.

A: The function given is, y=xx-1 Differentiate the function,  Apply the product rule ,…

Q: The cost to fence in a backyard is $1000 for an area less than or equal to 100 m2. An area greater…

A: Cost function = Average cost / Area

Q: The accompanying table shows the number of bacteria present in a certain culture over a 4 hour…

A: From given data, X Y X*Y X*X 0 90 0 0 1 103 103 1 2 109 218 4 3 129 387 9 4 141 564 16…

Q: What is the rate of change of the function whose graph is a line passing through  (3, 5) and (−1,…

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Q: . Write the equation of a function if its rate of changeis -15 and its initial value is 12.

A: Given:- Initial value of a function = −15 Rate of change of function = 12 To find equation.

Q: The marginal cost of producing the xth box of light bulbs is  5 + x2/1,000  dollars per box.…

A:

Q: There were around 70,000 black rhinos in the world in 1970. After that, their population declined by…

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Q: Describe the graph of f(x) = ex

A: Given: f(x) = ex To describe: The graph of f(x) = ex

Q: The value of a brand new car is $10,000 and the value depreciates 19% every year. Write a function…

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Q: The marginal cost of producing the xth box of light bulbs is 3 + x2/1,000 dollars per box.…

A: Given: The marginal cost of producing the xth box of light bulbs is MC(x) = 3+x21000 To determine:…

Q: A rectangular plot requires 2000 ft of fencing to enclose it. If one of its dimension is x (in feet)…

A:

Q: Suppose that you were 22 inches long at birth and 3.5 feet tall on your tenth birthday. a) Based on…

A: Linear model  y=mx+b   where b is initial value ( y intercept ) = length at birth  = 22 inches :…

Q: yA

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Q: Use function notation to represent that your annual salary after working five years at your job is…

A: We will find the required function as following.