The graph of the function ) = /x+4 is shown below. The domain of the function is 1) trx> 0} 2) xx2 0) 3) xx>4) 4) xx2-4)

Q: Show that f(2) =

A: We will show that derivative does not exist using definition. Then we will use geometry.  Calculate…

Q: The graph of f(x) = -3(x – 3)2 - 5 is a parabola that opens --Select--- v, with its vertex at (x, y)…

A:

Q: Express the set of numbers x satisfying the given condition as an interval. |x| < 4

A:

Q: Use a graphing utility to verify your results. y 2) 1. Subrt Amsant

A:

Q: The graph of f(x) = 4(x - 4)2 - 7 is a parabola that opens --Select--- v , with its vertex at (x, y)…

A:

Q: Express the set of numbers x satisfying the given condition as an interval. |3x + 5| < 1

A: 3x+5<1

Q: for the quartic function represented by this graph?

A: In the given question, the concept of quartic function is applied. Quartic Function A quartic…

Q: What are the zeros of f(x)=2cos(3x)+1 on the interval [0,π]?

A: We have the given function as fx=2cos3x+1. In order to find the zeros of the function fx, we must…

Q: Express the set of numbers x satisfying the given condition as an interval. |4x − 1| ≤ 8

A:

Q: Find the domain of the function f(x) = /2x – 3 - In interval form, the domain of f is

A: here function is given in form of square root this can't be negative so the value inside is positive…

Q: What is the local maximum value of the f(x) = x3 - 3x +2 on [0.5, 4]

A: We are given the function  f(x) = x3 - 3x +2 on [0.5, 4]. Here, we need to find the local maximum…

Q: y = Sen4x

A: True explanation is given below

Q: Use the Intermediate Value Theorem to show that there is a root of the given equation in the…

A: By intermediate value theorem, if fx is continuous on an interval  a,b and fa≠fb, then there exist a…

Q: Show that f (x) = 2x2 -3 is an even function. Explain why itsgraph is symmetric about the y-axis.

A: Here given fx=2x2-3   A function is said to be an even function if f-x=fx Now…

Q: sketch to graph the function f(x) = In(x + 2) – 1. %3D

A: f(x)=ln(x+2)-1Now, putting value of x=-1f(-1) =ln(-1+2)-1           [ln1=0]           =0-1…

Q: Find the length of f(r) = on the interval [1, 2]. Show all calculations. %3D

A:

Q: Use the guidelines of the section to make a complete graph of ƒ.

A:

Q: What are the domain and range of In x?

A: Given y = ln x To find the domain and range Domain is found by finding where the expression is…

Q: The graph of f(x)=-x-5x+6 has the point (2, -6) on it. O True O Fals

A: Ans: False

Q: Find the roots off (x) = x 4 - 4x 2 and sketch its graph. On which intervals is f decreasing?

A:

Q: Express the set of numbers x satisfying the given condition as an interval. |x + 7| < 2

A:

Q: The graph of f(x) = 3(x – 4)2 - 3 is a parabola that opens ---Select--- ♥ with its vertex at (x, y)…

A:

Q: Prove that the function has a horizont

A: Please refer the attached image for complete solution. THANK YOU.

Q: Use the given graph of f(x) = √x to find a numbersuch that   if  |x - 4| < ?  then  |√ x - 2|…

A: Given function is fx=x Suppose that x-2<0.4 is equivalent to the -0.4<x-2<0.4 We know that…

Q: Given the function g(x) = – 2x* + 7x" +x2 + r - There are at most x-intercepts, and based on the…

A: For a polynomial P(x) of degree 'n' 1. The maximum number of x-intercepts is given by 'n' 2. The…

Q: (b) : Verify that the Intermediate Value Theorem applies to the indicated interval and find the…

A: Given , f(x)= x²-x in the interval [1,5]

Q: Verify that the Intermediate Value Theorem applies to the indicated interval and find the value of c…

A: Given function  fx=x-63+4,    4, 7

Q: find and sketch the domain of the function f(x,y)= Suqare root 2x-y

A: f(x,y)=2x-yAs we know that domain refer to set of positive values  while range is the set of…

Q: What conditions must be satisfied by a function if it is to be con-tinuous at an interior point of…

A: A function is continuous at an interior point c of its domain if

Q: Use 50 rectangles to approximate the are under the graph of f(x)=3** on [-2,2].

A: Area under the curve using left end points : The area under the y=f(x) over the interval a, b is…

Q: express the set of numbers x satisfying the given condition as an interval.       lxl ≤ 9

A: Given: x≤ 9 Express x≤ 9 in terms of interval

Q: f(x)%3D2X-1

A: Given, f(x) = 2x-1

Q: By using intermediate value theorem locate a root for the f(x) = 2x3 - 3x2 - 6.

A:

Q: what will the point (0,0) be mapped to when graphing the function f(x)=2sin(x-60)-5

A:

Q: The domain of f' is 1 (Type your answer in interval notation.)

A:

Q: The graph of f (x)%3D-x-5x+6 has the point (2, -8) on it. True O False

A: given function :

Q: Let f(x) = 2x" 16x + 35 ddomonstrate how to . el.. form). *-.... Lapiaii anu onctri Part D. Explain…

A: Domain of  2x2-16x+35 :  Solution:  -∞ <x<∞ Interval Notation: -∞ , ∞ Range of 2x2-16x+35:…

Q: Find a point c satisfying the Mean Value Theorem for y=sqrtx on the interval [9,25]

A:

Q: Determine from the graph whether the function has any absolute extreme values on [a, b]. Then…

A: For given graph, Absolute Maximum is at x = d. and  Absolute minimum does not exist.

Q: Sketch the graph of f'(x) for f(x) = x³ + x³ . Label at least 3 points on this graph .

A:

Q: Consider the relation x2z2 = arctan (xyz) + 4, which defines z as an implicit function of x and y,…

A:

Q: Can the False Position Method be used to find the root of f(x)= –', starting with the interval…

A: In False Position method , select the starting interval, a,b such that a<b and fa·f(b)<0 .

Q: Show that the square of the length of subtangent at any point on the curve by2=(x+a)2 (b is not…

A: By using formula of lenght of sub tangent and sub-normal

Q: Is the distance between any two different real numbersalways positive?

A: State whether the distance between any two different real numbersalways positive or not

Q: Find the domain of the function f(x) = √7x − 3 - In interval form, the domain of fis Cubr

A:

Q: what is the maximUM value for the funcion flx)<~x? + 2x+2?

A: Take the derivative of the given function and equate to zero.

Q: Find a function f that satisfies the conditions. "(a) --Na (1) - 5, (4) - -1

A: Given Data: The second derivative of the function is: f"x=x-3/2 ......1 The value of the first…

Q: The point (0, 1) is not a point on the curve, due to the fact that division by zero is not - This is…

A: Given function, f(x)=sinxx over domain [-2,2]

Q: families (linear, expo

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.