Use the given graph of the function to answer the question. 2, X. -7 -6 -4 -3 -2 -1 1 2 3 4 -D1 -2 On what interval(s) is the average rate of change of the function positive? [-4,-2] [-4,-1] [-2,-1] [-2,2] [0,2]

Q: 3) approximate the slope of the graph of f (z) = r at the point (1, 1). y 4 3 (1, 1) 2. 4 3 2.

A: The slope of a graph tells that by how much the value of y changes when the value of x changes by 1…

Q: Which function has a negative rate of change on the following interval: 1 ≤ x ≤ 4 Of(x)=x²-x-1 Ok(x)…

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Q: Given the function f(x) = 2x² – 2x + 2 find the following. (a) the average rate of change of f on…

A: Please refer the attached image for complete solution.

Q: Find the slope of the function at given point. f (t) = 2 - 4/t (4,1)

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Q: Find the equation of the line tangent to the graph of the indicated composite function at the…

A: Since there are multiple questions posted, we will answer the first question 13. Ir you want the…

Q: Which of the following graphs or equations have an average rate of change of 2 from the x-values 0…

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Q: What curve is described by the function (t) = (2t + 3) + i(t - 5), 0 ≤ t ≤ 1

A: Step:-1 Given parametric function is ft =2t +3 +i t-5,  0≤t≤1 Here,  x=2t +3  ---(1)y=t-5  ---(2)…

Q: 2. The graph of f(x) which is a straight line is shown in the figure to the (b,10) b+l S(x) right.…

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Q: What is the average rate of change of the function f(t) = t² - 7t between t = and t = -4? -10 -14…

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Q: Below is the graph of a function f(x). The part of the curve from x=0 to x=6 is a semicircle. (-2,…

A: We will use property of definite integral.

Q: consider following function 3. h(x) -3x5-5x4 + 20x+6ox Find the point on the graph of hlx) with the…

A:

Q: At any time t, the rate of growth of the population N of deer in a state park is proportional to the…

A:

Q: FOR NUMBERS 6-7 Tangent and normal lines are drawn to the curve y = x3 at x = 2, 6. What is the…

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Q: For the below function, find the stationary point(s) and prove if a maximum, minimum, or a saddle…

A: The given function is fx,y=-x2+6xy+y2-10x-5y. Compute the first and second partial derivatives as…

Q: The function y = f(x) is graphed below. What is the average rate of change of the function f (x) on…

A: Given, The graph of function y =fx  We have to find the average rate of change of fx on the interval…

Q: Šuppose that the price p, in dollars, and the number of sales, x, of a certain item are related by…

A: Differentiate the given relation with respect to time 't'.

Q: d). Find the x coordinate of each point of inflection of the graph off on the open interval -3 <x <…

A: d) For a point of inflection of f, f"=0 This means the points will be the critical points of f'.…

Q: Find the slope of the graph of y = f(x) at the designated point. %3D f(x) = 2x - 7x +5; (3,2) The…

A: To find the slope of graph of y = f(x) at (3,2)

Q: The function y = f(x) is graphed below. What is the average rate of change of the function f(x) on…

A:

Q: Consider the function f(x) = 2/I+3 on the interval 4, 7. Find the average or mean slope of the…

A: Given problem is :

Q: n-intercept      (n, g(n))  =     13​,0           (larger n-value)

A:

Q: The function y = f(x) is graphed below. What is the average rate of change of the function f(x) on…

A: The average rate of change of a function, y=f(x) , over the interval a,b is calculated using the…

Q: Two vehicles start out traveling side by side along a straight road. Their position functions, shown…

A: Topic : Functions  Answers 1) Vehicle f  2) Velocity 2 m / sec 3) velocity 3m/sec 4) Vehicle g…

Q: Two vehicles start out traveling side by side along a straight road. Their position functions, shown…

A:

Q: d the slope of the secant line to the graph of f(x) = 6x - 2 from 2 to 19. If necessary, round the…

A:

Q: At which value of x for the function whose graph is shown below differentiable? -4 VO 8 10 12 14…

A: From the given graph, we have to find the points at which the function is differentiable

Q: 2. The surface area S(r) in square units of a cylinder with a volume of 18 cubic units is a function…

A:

Q: Given a function f(x) = 3x² + 4, what is the average rate of change of fon the interval [2, 2+ h]? O…

A: Topic = Functions

Q: The function y= f(x) is graphed below. What is the average rate of change of the function f(x) on…

A: Average rate of change of function over given interval [a,b] is given by below formula,

Q: Let f be the function given by f(x) = 0, 3. What is the instantaneous rate of change of f'at = 2x3 –…

A: Please see the explanation below

Q: At any time t, the rate of growth of the population N of deer in a state park is proportional to the…

A: It is given that dNdt is proportional to NL-N. That is, dNdtα NL-N dNdt=kNL-N ; where k is the…

Q: 2. State the equation of the line passing through the points (7,-1) and (2, 2). a. 5x +3y – 16 = 0…

A: Since you have posted multiple questions, we will only solve first three questions as per our…

Q: The life expectancy E of a main-sequence star depends on its mass M. The relation is given by the…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: The cost c per person to participate in a guided camping tour depends on the number of n…

A: given that c=-4n+60 where c is the cost of participation and n is the number of persons  find the…

Q: The function y = f(x) is graphed below. What is the average rate of change of the function f (x) on…

A: Given function y=f(x)

Q: 9. The function h(t) = -4.9t2 + 70t°cản be used to model the height of a projectile with an initial…

A: If the projectile hit the ground then h(t)=0 So, we will solve for t when h(t)=0…

Q: Given f(x) = 5x² - 10x + 8, find the average rate of change of f(x) on the interval [2, 2+ h]. Your…

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Q: 20. Find the slope for f(x) |x - 21 + 3 from -x + 5x - 3 X=-3 to x=2? A. -5/5 B. 5/8 C. -8/5 D. 5/5…

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Q: Find the slope of the graph of the function at the given point. f(t) = t−5;  (1/2,32)

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Q: 2 The linear approximation for the function f(x) = be used to estimate f(0.01). Which of the…

A:

Q: Use the function f (x) =2^x to answer the following question.  Over which interval is the average…

A: The given function is  f(x) = 2x The average rate of change of function over interval (a, b) is…

Q: For numbers 16-17. Consider the function f(x) = ( x +1 )( x – 1 )² , 16. At what value of x will the…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Find the slope of the line that is tangent to the graph of f (x) 2a-3 at P(3/2, 0) О -3/4 O 2 O (E)…

A:

Q: The function y = f(x) is graphed below. What is the average rate of change of the function f (x) on…

A: Given:  The function y=fx is graphed below. To Find:  To determine the average rate of change of…

Q: Find the slope of the graph of the function at the given point. f(t) = t−5;  (1/2, 32)

A:

Q: The slope of the line tangent to the graph of the function f(x) = x? +1 18. +1 at x = 2 is 3 3 a) b)…

A:

Q: The function y = f(x) is graphed below. What is the average rate of change of the function f(x) on…

A: Given: y=f(x)  Average rate of change=Change in OutputChange in Input=△y△x…

Q: The function y = f(x) is graphed below. What is the average rate of change of the function f (x) on…

A: Graph of the function is given by

Q: 3 Given the function f(x) = 2a2 – a + 2, find the points where the tangent line has slope – 4| 2 а)…

A:

Q: Given the function f(x) = 3z2 - 3z- 3 find the following. (a) the average rate of change of f on [2,…

A: We will find the average rate of change of function for the given condition.Below find the solution…