f(x) Use the graph of f (x) to answer the following questions. (54) f(-2) = В (55) f(1) : f(1)-f(-2) %D (56) 1--2 A D F (57) Use the graph to calculate the slope of the secant line from point A to point C. E (58) Use the graph to calculate the average rate of change from point B to point F. 5.

Q: 8) Sketch the function with the zeros (x + 3) (x=1) (x= 2)and: the y-intercept of -6. After doing…

A: To sketch the graph of the given function.

Q: For the function y = 4x2: (a) Find the average rate of change of y with respect to x over the…

A:

Q: Function f(x)=x2+5  Find the average rate of change between the points (x,f(x)) and (x+h,f(x+h))

A: GIven function:

Q: 7. Find the average rate of Change of f(x) = 2x2-7 on the interval [2, 2 + t].

A: Consider the given function, fx=2x2-7 At x = 2+t, f2+t=22+t2-7=24+4t+t2-7=8+8t+2t2-7=2t2+8t+1 At x =…

Q: for #16

A: Average rate of change of a function f(x) over an interval [a, b] can be found using the formula…

Q: Find the net change and the average rate of change of f between x = 2 and x = 6. net change average…

A:

Q: For the function f (x) = a-5a2. (a) Evaluate the average rate of change from r = -2 to r 1 (b) What…

A: Given, The function fx=x3-5x2 We have to solve for part a and b

Q: Find the average rate of change of g(x) = 2x+ on the interval [-4,3] 2.

A:

Q: a. Find the average rate of change of f(x) = -3x³ + x -1 between [-1,0]. b. Find the Difference…

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

Q: f(x)=x2+2 find average rate of change from -2 to 0 feom 1-3 and from -1 to 2

A:

Q: Find the average rate of change of f(x)=--2x 2+4…

A:

Q: modelled by the function p(t) = 10050 + 225t – 20t*2 , where t is the time in years from now. a)…

A:

Q: what is the average rate of change for f(z)=-2z2+4z-3over the interval (-1,4)

A: Given:fz=-2z2+4z-3    on the interval -1,4Average rate of change:Ax=fb-fab-a

Q: The graph of f(x) passes through the point (-1,4), The slope of the line tangent to the graph at the…

A: The slope of the tangent of the function at a point is given by the derivative of the function at…

Q: The function f(x) = x2 describes the area of a square, f(x), in square inches, whose sides each…

A: Given function fx=x2 To find rate of change of area.

Q: 2. Given f (x) = ax² + b. a) Calculate the secant slope for xe[0, 2]. b) Find the rate of change at…

A: we have to calculate the following

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

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: The table represents the depth of a diver, in y, after x minutes of being in the ocean. y 2 -0.6 8…

A: Topic - average rate of change Note: as per vartleby guidelines, we arecsupposed to solve first…

Q: Find the average rate of change of the function from X1 to X2 f(x)= -3x2-x  from X1= 5 to X2= 6

A:

Q: ph represents the derivative function f'(x) of a function f(x). rval of increase and decrease of the…

A:

Q: Find the average rate of change of f(x) = - x3 + 1:(a) From 0 to 2(b) From 1 to 3(c) From - 1 to 1

A: The average rate of change of a function f(x) from a to b is given by f(b)-f(a)b-a

Q: Find the average rate of change of f(x) = 4x - 6 on the interval 1, b. Your answer will be an…

A:

Q: An object moves according to the function h(t) = -t² + 13, where h(t) is the height, in meters, and…

A:

Q: Let f(x) = 6x2 + 7x - 5. Then the average rate of change of f(x) from 0 to 18 is the same.as the…

A:

Q: find the average rate of change f(x)=x2+6x from x1=3 to x2=4

A: Given, f(x)=x2+6x x1=3 to x2=4

Q: f(x) = -x2-6x-6 Find the average rate of change over the interval [-3,1]

A: The average rate of change over the interval [-3,1] is given by:

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: A certain paper-cutting machine produces various sizes when increasing the length of a rectangular…

A:

Q: Find the average rate of change of the function f(x) = -5x² – 3x + 1 between x = -1 and x = 0. Enter…

A: I have stated the used formula in the solution

Q: Compute the average rate of change of f from x1 to x2. Interpret your result graphically.…

A:

Q: a. What is the slope of the constant function y = k?b. What is the rate of change of a constant…

A: If function is given as y=fx Then the slope of the function is given as the first derivative of the…

Q: Find the average rate of change of the function from x = 1 to x = 2. 10 f (x) : x2

A: first we differentiate function then we put limits

Q: A differentiable function has the value y(7) = 2 and the derivative value y'(7) = -1. Approximate…

A: Option 2 is correct Explanation is given below....

Q: Find the average rate of change of f(x) = 9x2 – 8 on the interval [2, t]. Your answer will be an…

A:

Q: -2x2 1. Find the average rate of change of f (x): on the interval [-2,2]. %3D (x-3)(2x+1)

A: topic - average rate of change of function over the interval

Q: 9. Determine the average rate of change for the function, f(x) = -4.

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: The average number of vehicles waiting in a line to enter a parking ramp can be modeled by the…

A: Differentiating f(x) with respect to x by dividing rule

Q: Suppose that f(x) = 5x² – 4. (A) Find the slope of the line tangent to f(x) at x = 5. (B Find the…

A:

Q: Suppose that f(x)=-7x2 + 8 (A) Find the slope of the line tangent to f(x) at x=2 (B) Find the…

A: To determine the following for the function f(x) = -7x2 + 8:Part a) Slope of tangent at x = 2.Part…

Q: Find the average rate of change of f(x) = 7x² – 4 on the interval [3, b]. Your answer will be an…

A:

Q: Let ​h(x)=x^2−8x.   ​(a) Find the average rate of change from 4 to 7. ​(b) Find an equation of the…

A: Average rate change and secan line problem....

Q: (x) What is the average rate of change of the function f(x) = 2° – 4 from x = 0 to x = 3? %3D - 3 2…

A: Given : f(x) = 2x - 4 From x = 0 to x = 3.   To find the average rate of change of the function.

Q: Find the average rate of change of the function from x1 to x2.f(x) = x2 - 2x from x1 = 3 to x2 = 6

A: The function f(x)=x2-2x. We have to find the average rate of change of the function from x1=3 to…

Q: Find the average rate of change of f (x) = 3x² – 4 over the following intervals. a) [0,3] b) [-4, 1]…

A: Average rate of change = f(b) -f(a)b-af(x) = 3x2-4a) (0,3) Average rate of change = f(3) -f(0)3-0…

Q: 2. on the interval [-3,2] 3. Find the average rate of change of g(x) = 6x° +

A:

Q: 52° + on the interval [-2, 2]. Find the average rate of change of g(x)

A: Given function is Firstly, we will find g(-2) and g(2)

Q: z = x2 + y2, where x and y are increasing at the constant rates of 2 units per second and 3 units…

A:

Q: r(2r2 + 1)3 V5 – r2 Find the rate of change of f(x) = In when r = 1.

A: