f(x)=-3(x-5)^2+54 x-intercepts: y-intercept: increasing interval: decreasing interval:

Q: Find the slope of the secant line between x = 3 and x 5 on the graph of the function f(x) = -2x2 +…

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Q: Find the slope of the graph of the function at the given point.

A: Given: fx=3x2-4x Given point is 1, -1

Q: Which shows where the function is decreasing?

A: The graph of the function f(x) is shown. The function f is increasing if the derivative of function…

Q: Which function has x-intercepts at −2π, −π, 0, π, 2π?

A: Given-  The function has its x- intercepts at -2pi, -pi, 0 , pi, 2pi

Q: What are the x- and y-intercepts of a function, and how are they found?

A: The x-intercept is the length from origin to where the graph of the function cut the x-axis.   The…

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: Describe the x-values at which the function is differentiable. (Enter your answer using interval…

A: Given - A function To Find - Interval where f(x) is differentiable

Q: Differentiate the function using quotient rule. 3x y = 2х + x2

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Q: Find where the function f(x) = 3x4 − 4x3 − 12x2 + 5 is increasing and where it is decreasing.…

A: increasing and decreasing intervals of fucntion  fx=3x4 − 4x3 − 12x2 + 5

Q: Find an equation of the line tangent to the graph of f(x) = (5x-9)(x+6) at (2,8). The equation of…

A: This question is based on application of derivative to find slope of tangent line.

Q: Find the point of inflection of the graph of the function. f(x) Exvx + 6

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Q: Find the slope of the graph for the function f(x) = 3sinx + 11 at the point (7,11)

A: The function is f(x)=3 sin(x)+11

Q: The path of a baseball after being hit is modeled by f(x) = −0.0032x2 + x + 3, where f(x) is the…

A: We have, the path of a baseball after being hit is modelled by the function given as…

Q: 3x-x - Show that the function y= 1+x? odd or even.

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Q: The absolute value function increases on the interval ____________and decreases on ____________ .

A: The absolute value function increases on the interval  0, ∞ and decreases on -∞, 0 .

Q: x2 y = х2- 64

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Q: Use the graph of the function to estimate the interval on which the function is decreasing y Enter…

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Q: Using the second derivative test, find whether the function: x^3-9x^2-48x+52, has a local minimum or…

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Q: Identify the open intervals on which the function is increasing or decreasing. (Enter your answers…

A: I am attaching image so that you understand each and every step.

Q: Find the points of intersection of the graphs of the functions y = x2 + 1 and y = 4x

A: Given functions:                     y = x2+1   ... (1)                     y = 4x      ... (2)

Q: Find the point (x,y), at which the graph of y = 8x + 9x - 7 has a horizontal tangent. The function y…

A: Given that: y=8x2+9x-7

Q: 5x + 4 f(x)3D 2x -3

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Q: Find the point at which the line f() = --1 intersects the line g(a) 2 + 8

A: Two lines f(x)=-x-1 and g(x)=2x+8 , we have to find the point at which both lines intersects.

Q: List the intervals of increasing and decreasing for f(x)=10x²–37x +189. List all local maximums and…

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Q: Consider the function f(x) = 4/¤ + 2 on the interval [4, 5].

A: Given function is, f(x)=4x+2

Q: The polynomial parent function y = x* has been transformed. What is the equation of the new image

A: Introduction: The shifting properties of a graph are very significant. Using these laws, one can…

Q: The product-exchange function for gasoline x and heating oil y, in hundreds of gallons per day, is…

A: From the given information:The product exchange function for gasoline x and heating oil y is:

Q: Describe the x-values at which the function is differentiable. (Enter your answer using interval…

A: Given function is  y=x2x2−16

Q: A function has a y-intercept of 2 and is increasing for values of the domain greater than 4. Which…

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Q: 11. Vx y = x +

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Q: A rectangular piece of sheet metal with a perimeter of 50 cm is rolled into a cylinder with two open…

A: a. Given that, a rectangular piece of sheet metal with perimeter 50 cm is rolled into a cylinder…

Q: What is the equation of the horizontal asymptote of function: f(x) = 2/(x + 2) - (x + 3)/(x + 4)?

A: I have appended the formula used in the solution part.

Q: Use the Midpoint Rule with n = 5 to approximate x dr - 2

A: We have to find the approximation of the given integral using Mid point rule.

Q: .2 What is the end-behavior asymptote for f (x) = *´+4x-5 , x-2 Enter the equation in the box.

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Q: The annual revenue and cost functions for a manufacturer of zip drives are approximately…

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Q: Use the graph to determine the equation of the vertical asymptote: -5 4 --2 -1 I 2 3 4 5 -2 - -3- -4

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Q: The revenue from the sale of x manual food processors is given by R(x) = 26x-0.2x dollars. The total…

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Q: 3x y = 2х + x2

A: The given function is y=3x2x+x2 quotient rule: fg'=f'·g-g'·fg2

Q: The profit in dollars from the sale of x thousand compact disc player is P(x)=x3-7x22x+8. Find the…

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Q: x2+6x+8 . f (x) = %3D x²+7x+12

A: An asymptote is a line or a curve that the graph of a function approaches. Vertical asymptotes occur…

Q: Find the absolute maximum value of y-81-x on the interval [-9, 9].

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Q: A paper airplane was thrown from the top of a 9 meter tall house and falls at a rate of 3 meters…

A: Given  The height of the paper airplane above the ground can be found using  the function  y  =…

Q: find horizontal and vertical intercept of f(x)= -2|x+1|+6 and graphing the function

A: The given function:

Q: Describe the x-values at which the function is differentiable. (Enter your answer using interval…

A: Given that  y =x2x2-4   ........... (1) At x = -2 and x= 2, y does not exist finitely  So y is not…

Q: The absolute maximum value of the function y = 4x5 - 10x2 – 8 on the interval [-2, 2] is

A: Given: y = 4x5 - 10x2 – 8                                                     intervals [-2, 2]  to…

Q: Differentiate the function. y = (2x* - -x+1) (-x* +3) y' = D

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Q: Describe the x-values at which the function is differentiable. (Enter your answer using interval…

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Q: Suppose that f(x)=6x^2−2x. Find: a. f'(x)= b.  The slope of the graph of f(x) at x=2 and x=3.…

A: Here we find derivatives and slope of function.

Q: A smart phone manufacturer is able to produce 500 amount of phone a day. If the profit for daily…

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Q: interval

A: We have to find the increasing interval according to the given function