a) Draw a graph of a function y J (x) compatible with the informations given below. lim f(x) = -4 lim f(x) =7 lim f(x) = 2 1+-7- lim f(x)= -2 1+-7+ lim f(x) = -6 1→-3- lim f(x) = 3 1+-3+ lim f(x) = -∞ lim f(x)= x∞ 1+0+ lim f(x) = - lim f(x)= 3 1→4+ %3D 1→4- lim f(x) = -2 1+5- lim f(x) = -2 lim f(x) = 10 lim f(x)= 20 lim f(x) = 0 1→15 1+11 f(-9) = 0 f(2) = 0 f(5) = -3 f(6) = 0 f(15) = -5

Q: For the piecewise function f graphed below, find the following. y-axis 6 5 4 3 2 1 78 9 10 11 12 13…

A: Given the graph of a piecewise function f. The objective is to find limit of the function f at…

Q: 3. Sketch a graph of a function y = f(x) that satisfies all of the following (if possible): а. x-0-…

A:

Q: Sketch a graph of a function f that satisfies the given values.

A: The objective is to draw a graph that satisfies the given values. f0 is undefined. limx→0fx=4 f2=6…

Q: 3) Sketch the graph of a function that has all of the following properties. lim f(x) = ∞ x→-3 ● ●…

A: Given that,

Q: 5. Sketch the graph of one function y = f(x) that satisfies all of the requir- ments below. lim f(x)…

A:

Q: n each part below, give an example of a function which satisfies the given criteria. Justify that…

A:

Q: 2. The graph of the function y = f(x) is given below. Using the graph t answer each question. (a)…

A:

Q: 2.x²y"+xy'–3y= 0,x>0

A:

Q: Exercise (1.11) (1) Consider the following graphs of y f(x). Find lim f(x), lim f(x) and limf (x)…

A: We have given a graph of a function and we have o calculate limits at each given point.…

Q: 3. (a) Differentiate the function f(x) = x2 from first principles.

A:

Q: 2. For the function g(t) whose graph is given, state the value of each quantity, if it exists. If it…

A: Given, the graph of the function g(t)- Limit at any point x=a exists, if Right hand limit and left…

Q: Find lim f(x). X→-6 lim f(x) = X→-6

A: We need to find limx→-6-fx

Q: I.B. Sketch the graph of a function f satisfying ALL the given conditions. The domain of f is…

A: We will use given values of function and also values of limits to find graph .   limx→c-fx = value…

Q: Sketch a graph of a function that satisfies all of the following properties. -4- a) f(-6) is…

A: We need to sketch the graph.

Q: a) Sketch the graph of the function f (x) = {2x – 3 if æ 2 then evaluate lim f(x), lim f(x) at a =…

A: Consider the given: Hello. Since your question has multiple sub-parts, we will solve first three…

Q: Let Graph the function, and evaluate the following. (a) lim f(x) = x 1 (b) lim f(x) = x 1+ (c) f(1)…

A: Let To graph the function, and to evaluate the following.(a) (b) (c)

Q: 4. Sketch a graph of a function g(x) with g(1) = 2 and lim g(x)=0. x→1

A:

Q: 10- In parts (A)-(C), find the indicated quantity for y = f(x) = 5- x. f( - 1)- f(- 2) (A) (-1)-(-2)…

A: Given the function simple put the value of (-1) and (-2)  find the value of y and put it on that…

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.