ax-4 XX _4 f(x) = %3D Domain: Range: Continuity:

Q: The graph of the function fx) =/x is stretched vertically by a factor the transformed function…

A: Given- The graph of the function fx = x is stretched vertically by a factor of a and is translated 3…

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

A:

Q: i. Find the equation of a power function through the points (2, ) and (, 8). ii. Now, find the…

A: i) To find a power function through points 2,18 & 14,8. The power function is given by: y=axb

Q: Find the open intervals on which the function is increasing or decreasing.

A: A function f(x) is increasing if for each x1<x2 we have fx1<fx2. Similarly a function f(x) is…

Q: Find the exact location of all relative and absolute extrema of the function ƒ (x) = 2x² + 8x +1…

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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: With utilization of the product rule for functions of one variable, show how it could be viewed as a…

A: Take the function, f(x,y) x,y are variable.

Q: y = x42x³

A:

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: The function Ax) = x- 3 increases on which interval? %3D

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Q: The equilateral trianhle is inscribed in a circle of radius 6r. Express the area A within the circle…

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Q: (x2 + 3x f(x) = 3 – 6x if x -2 Check the continuity of the function f(x) at x = -2

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Q: if fcx) = _X then f (-1) is: |-X

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Q: If   f(x) = 8x2 arctan (9x2),  find f’(x)

A: Explanation of the solution is given below...

Q: Explain Limits for Functions of Two Variables?

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Q: We have to graph the function f(x)=xln(x2). f(x)=xlnx2. Also, label all absolute/local max/mins,…

A: inflection points : No inflection point end behavior: no end behavior since f is not polynomial X…

Q: The number of concurrent users of a social networking site has increased dramatically since 2001. By…

A: The function P(t)=2.8291.484t, where t is the number of years after 2001,models this increase in…

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

A:

Q: The graph of linear function f passes through the point (1,-9) and has a slope of -3. What is the…

A: We can use the concept of straight line in order to solve the given problem.

Q: x+1 Is the function f(x) - X2 *Xく2 ;ン2 x >2 2X-1 continuous at x= 2? Why or why not? Show solution.

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Q: f(x)%3DX4-3x3 + 2x2 - 5x-7 at x = -1

A: Given:     fx=x4-3x3+2x2-5x-7      at  x=-1 1. f(c) must be defined.  The function must exist at an…

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: 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: A 600 room hotel in Orlando is filled to capacity every night when the room price is $90  per night.…

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Q: Find the equation of the slant asymptote for the function f(x)=x^2-x/x-2 y=

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Q: Find the range of the function y = -4(x – 3)2 + 4. O (-∞, ∞) O (-∞, –4] O [3, ∞) O (-∞, 4) O [-4, ∞)…

A: Range of function :  The set of all values of the dependent variable for which a function is defined…

Q: Find the range of the function for the domain {−2,0,4}. Show your work. f(x)=5x2+4

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Q: Find the location of the absolute maximum and absolute minimum of the function on the interval [ -…

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Q: Find interval where f is decreasing

A: From the graph from t = 0 to t = 2   ;          f = 2 from t = 2  to t = 4   ;          f is…

Q: Describe the (1) domain, (2) range, and (3) continuity of y = -(x+ 3)2 +5.

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Q: lue of x, if the g 5 10 is singula

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Q: Find a function that has vertical asymptotes at x=4 and x=-2. X-intercepts at (1,0) and (-1,0) and a…

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

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Q: Determine the intervals of increase/decrease for the function f(x) = x² -12

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Q: 10 10 -5 10

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Q: Show that |x + y|≥||x|−|y||, solution without using piecewise function

A: Just I have used the triangle inequality of absolute function and easily prove that the given…

Q: The number of concurrent users of a social networking site has increased dramatically since 2001. By…

A: The given question has been solved in detail

Q: . Find the length of the graph of the function f (x) =x* + x2 -<x < 3. on the ir

A: The length of the graph of y=f(x) from x=a to x=b is given by:∫ab1+f'(x)2dx f'(x):…

Q: The graph of linear function f passes through the point (1,-9) and has a slope of -3.   What is…

A: Given for a linear function , Slope =-3 and passes through (1,-9)

Q: 1- f(x) = x³. ammmed

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

Q: Suppose that the function f(x) is concave down on the interval (2,5). Can conclude that the function…

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Q: Explain the Functions that are Nonlinear in the Parameters with example?

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Q: Graph the function Ax) = 4x-1, if x <-1 Determine if the function is continuous x-3, if x2-1…

A: The given function is  f(x) = 4x-1x-3if x&lt;-1ifx≥-1 A function is said to be continuous at a point…

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

A:

Q: Suppose point P (-2, -3) is on some function y=f(x) and is transformed to g(x) so that g(x) = 5f…

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Q: Find x and y intercepts,intervals of monotoncity,local exterme value,intervals of…

A: Substitute x=0 and y=0 separately and solve for y and x respectively. Determine the critical points.…

Q: You have 800 feet of fencing to enclose a rectangular field. However, one side of the field lies…

A: Rectangular field: You have 800 feet of fencing to enclose a rectangular field. One side of the…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.