The graph of a linear function g(x) is given below a)Find the rate of change of g. b)Find g(x) and Express in the form g(x)= ax+b

Q: If a linear function has the points (2, 1) and (6, 3) onits graph, what is the rate of change of the…

A: Given the linear function has the points (2,1) and (6,3). We need to find the rate of change of the…

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Q: (c) F{-h(x+ 1) + 2h(x) – h(x – 1)}, where h(x) is the unit step function defined on page 235 of the…

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Q: The graph of the continuous function g, the derivative of the function f, is shown above. The…

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Q: Sketch the graph of a function f such that f′ > 0 for all x and the rate of change of the…

A: Given A function f with f’>0 and rate of change is decreasing.

Q: (c) F{-h(x+ 1) + 2h(x) – h(x – 1)}, where h(x) is the unit step function defined on page 235 of the…

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Q: A manufacturer estimates that she can sell a maximum of 105 thousand cell phones in a city. By…

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Q: In Exercises 1-8, find the rate of change.

A: We have to find the rate of change of given function

Q: Let ff be the function given by f(x)=2x3−5x2+8x+1f(x)=2x3−5x2+8x+1 on the closed interval…

A: According to question, Given function, fx = 2 x3 -5x2 + 8 x + 1

Q: 12. f(x)=5-2/5x  express it in the form f(x) =ax+b and state the rate of change of the function.

A: Given:  fx=5-25x To Find:  To express the given function into the form, fx=ax+b, and to state the…

Q: 24) Find the maximum rate of change of at the given point and the direction in which it occurs.

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Q: . The daily amount of smog produced by cars coming into a city is given by y = 2 + 0.01x3/2, where y…

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Q: Suppose that f(x) is a linear function. So, the algebraic representation of f(x) is of the form:…

A: The algebraic representation of the linear function is fx=mx+b

Q: Given the function g(x) = -x² – 5x + 8, determine the average rate of change of the function over…

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Q: An endowment is to be invested with a continuous interest rate of 3 percent to yield a continuous…

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Q: Find the average rate of change of g(x) = – 3x² +1 on the interval [– 1, 4]

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Q: f. Assume that the population of a certain city increases at a rate proportional to the number of…

A: Note: Since the image contains multiple questions, as per the answering guidelines we are to solve…

Q: If f is the focal length of a convex lens and an object is placed at a distance p from the lens,…

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Q: A model for the spread of an epidemic is that the rate of spread is proportional the number of…

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Q: The length / of a rectangle is increasing at a rate of 2 cm/s while the width w is decreasing at a…

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Q: Consider the function f(x) = x2 − 3x + 3. (a) Find f' (x) from first principles. (b) Find the rate…

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Q: Suppose you have an account (paying no interest) into which you deposit $3,000 at the beginning of…

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Q: 6. (5 points) Find the instantaneous rate of change of the function h h(t) = t² . /f² + 1 %3D with…

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Q: In the manufacture of printing ink, solvents are used to suspend or dissolve the pigments that give…

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Q: For the function g(x) = x², the average rate of change for the interval [-1, 3] is: For the function…

A: Here we have to find average rate of change of function.  The given function is g(x)=x2

Q: Find the rate of change of the function at a given value. 1. f(x) = 2x – 3, at x = 5 2. f(x) = 2x² ,…

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Q: If (x1, f(x1)) and (x2, f(x2)) are distinct points on the graph of a function f, the average rate of…

A: If (x1, f(x1)) and (x2, f(x2)) are distinct points on the graph of a function f, the average rate of…

Q: 10. Find a function y = ax +bx+c whose graph has an x-intercept of 1, a y-intercept of -2, and a…

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Q: In an laboratory, a culture of N strands of bacteria is analyzed. It is found out that the rate of…

A: topic - exponential function

Q: A population of 1000 students are in a dormitory. If initially, a virus infected 25 of them. If the…

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Q: . Sketch the graph of the unit step function, denoted by U and defined by U (x) = {0 1 if if x<0 0sx

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Q: Five mice in a stable population of 500 are intentionally infected with a contagious disease to test…

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Q: The relationship between food expenditure of 25 households (y) and their total expenditures (x) is…

A: Given: ln Y^=2.24+0.364 ln Xr2=0.886

Q: Find the average rate of change of f(x) = - 2x2 + 4:(a) From 0 to 2(b) From 1 to 3(c) From 1 to 4(d)…

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…

Q: 6. Create a linear function equation that has a rate of change of -3 and a solution at (5,2).

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Q: The daily production level is currently 100 filters and increasing by rate of 8 filters per day. (a)…

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Q: ) Greenland had a population of 55000 in 1980 and a population of 78000 in 1990. Assume that the…

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Q: find the average rate of change of g(x)=x3-2x+1 from 1 to 3.  average rate of change for function…

A: Given: g(x)=x3-2x+1 over the interval [1,3]

Q: model a population p if its rate of growth is proportional to the amount present at time t

A: model a population p if its rate of growth is proportional to the amount present at time t

Q: 6. A supplier of kerosene has a 150 gallon tank that is filled at the beginning of each week. If X…

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Q: A network server has an original value of 10, 000 and is to be depreciated linearly over 5 years…

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Q: Find the linearization of the function k(x) = ln(x) when x= 1 and use it to estimate ln(1.1).

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Q: We can use a linear function to describe air leaking from a balloon, but this is not, in fact, an…

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Q: Show that the two functions n = Ae" (interest compounding) and y2 = Ae (discounting) are mirror…

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Q: Rank the functions x3, ln x, xx, and 2x in order of increasinggrowth rates as x→ ∞.

A: Given x3, ln x, xx, and 2x

Q: Suppose a person invested 1 million dollars in a certain project in the beginning of year 2000. The…

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Q: Rank the functions x100, ln x10, xx, and 10x in order of increasinggrowth rates as x→ ∞.

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Q: Ay of Ax 6. Determine the constant rate of change, each table of values

A: Rate of Change = Change in Y / Change in x.