2. The graph of f (x) is given below. Based on this graph determine where the function is discontinuous.

Q: Consider the function u- X At which point the line to 2. %3D the graph f this is horizontaT

A:

Q: Suppose that f is a function given as f(x)=x3+bx2+cx−4 Find the exact values of b and c if we know…

A: Given: fx=x3+bx2+cx-4   and tangent line y=36x+68

Q: Given the graph of the function f(x) shown below, which of the following intervals represents its…

A: Kindly provide options so that we can answer the question. Or if grid values are indicated then…

Q: 4. Given the graph of f(x) below, sketch the graph of f'(x) and explain how you arrived at your…

A: The graph is drawn by free hand.

Q: The graph of f(x) is given below. Dot imply the graph stops at that point and open circles mean the…

A: Given graph of the f(x)

Q: 4. If f(x) = ax³ + bx², determine a and b so that the graph of f will have a point of inflection at…

A: If fx=ax3+bx2, then to determine a and b so that the graph of f will have a point of inflection at…

Q: Find a possible polvnomial function for the following graph. (1. 4) f(x) =

A:

Q: Given the graph of f(x) below, represent Rolle's theorem graphically. You should move the points A…

A: here,

Q: Suppose that the graph of y=f(-x) a function is known.Then the graph of may be obtained by a…

A: Given: Suppose that the graph of y=f(-x) a function is known. Then the graph of may be obtained by a…

Q: Let X be the graph of f(x) = x-1s given below

A: Sol

Q: 1 Sketch the graph of the function f(x) = er +1

A: f(x)=ex-1ex+1

Q: Find the value of k that makes the following function continuous. Graph the function. x2- k, if x…

A:

Q: The graph of y =(x) is shown to the right. Identify the interals on which f(x) is increasing.

A:

Q: Find the locations of any absolute extrema for the functions with graphs as follows.

A: The graph is given we have to find the absolute extrema.

Q: 9. Sketch the graph of the function y = Va+ 2 and determine the domain and range. 10

A:

Q: In order to sketch the graph of f'(x), we must have a formula for f(x).

A:

Q: Find the locations of any absolute extrema for the functions with graphs as follows.

A: here we have to find the locations of any absolute extrema for the functions with graphs as follows.…

Q: 8. Use the given graphs of f and g to estimate the value of f(g(x)) for x = -5, -4, -3, ..., 5. Use…

A:

Q: Explain why the function is discontinuous at the value of "a" given and draw the graph 2x-5x-3 si…

A:

Q: The graph of f (x)  is shown below.  What is the apparent zeroes of the function graphed here?

A: Given:     Zeroes of Graph:         Wherever the function graphs line cuts the x-axis are called…

Q: 2. Use one-graphing paper to sketch the graph of the following functions below on separate Cartesian…

A:

Q: Given the following graph, what is the corresponding function (t > 0)?

A: From the given graph ,what is corresponding function

Q: Answer the following questions based on the graph of f(x) given below. If an answer does not exist,…

A:

Q: Here is a function of the form f (x) = ab". Which point on the graph immediately tells you the value…

A:

Q: at x = 2 and f(2) = 3

A: Jump discontinuity is when the two-sided limit doesn't exist because the one-sided limits aren't…

Q: If the graph of f(x) is given by 1 Then the graph of is

A: Gien a graph of some function f(x), the graph of the reciprocal function i.e. 1f(x) can be obtained…

Q: The following figure shows the graph of a function y = f(x) with domain [0, 2] and range [0, 1]. y -…

A: Consider the function y=fx with domain 0,2 and range 0,1. Find the domain and range of function…

Q: Suppose that the differentiable function y = g(x) has an inverse and that the graph of g passes…

A: Given,

Q: Find the locations of any absolute extrema for the functions with graphs as follows.

A:

Q: . Here is a graph of f(x) = e² and a graph of g, which is for the function g.

A: Introduction: For a function f(x), When c is subtracted from x, then f(x-c)is known as horizontal…

Q: 1 Find the distance between the two values of x at which the function is discontinuous. x²-3x + 2

A: The function given is ,f(x) = 1x2-3x+2f(x) is discontinous when,x2-3x+2 = 0Using quadratic formula,x…

Q: 2. Suppose the function f is defined as f(x): vertical asymptote(s) of f.( 6x²-8 (x-2)(x+4)' .Write…

A: As we know that; To calculate the vertical asymptotes, equate the denominator to zero and solve for…

Q: Use the graph of y f(x) to graph the function g(x) - -f(x).

A: The given function is a piecewise function. Mention the points on the graph.

Q: Sketch the graph of the following function and find any discontinuities x2 – 1 f(x) = x - 1

A: fx=x2-1x-1 Since the value of numerator and denominator is zero when x=1, therefore the graph must…

Q: 2. If f(x) = ax3 + bx?, determine a and b so that the graph of f will have a point of inflection at…

A:

Q: Suppose that the graph of f(x) is given below. Which of the following is the smallest?

A: Given that:

Q: The following is the graph of a function f(x).

A: Given that: Graph of f(x)

Q: The graph of the function f, consisting of three line segments and a quarter of a circle, is shown…

A: g(x) = ∫1xf(t)dt From given information g'(x)  = f(x) g''(x) = f''(x)

Q: Find an equation for the graph sketched belo f(z) = Preview

A:

Q: Consider the given graph. 2 a) At which points the function is not differentiable. Explain why for…

A: a) From the given Figure it is clearly observed that, the function discontinuous at x=-2, x=-1 and…

Q: 9. Sketch the graph of the function y = Va + 2 and determine the domain and range.

A: We have to draw the graph

Q: Given the graph of f(x) below, for what value(s) of x is f(x) non-differentiable?

A:

Q: The graph of f(x) is given below. Graph f'(x) on the same coordinate plane

A: According to the given graph , x-axis cuts at three points . First is origin (0,0) Let second point…

Q: 3) Use the following information to sketch the graph of the function, y = f(x)

A:

Q: 2. Consider the following. x? f(x) = { 8-2x 3 x< 2 2<x<4 x24 Sketch the graph of f.

A:

Q: Use the graph of the function f to decide whether the value of the given quantity exists. 3 -4 -2…

A: According to company policy we are allowed to provide solution for only first 3 sub parts. If you…

Q: 1.) For each graph determine its rational function. R(x) =

A:

Q: Use the graph of the derivative g'(x) shown below and the terminology: increasing, decreasing, local…

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.