Problem 7. Find each of below for the function x+5, f(x)=3, 23 1, 2< (a) f(1.9). (b) lim f(x). (c) Isf continuous at a = 2? Why or why not? a-2+ x < 2 2=2

Q: 1. If f(r) = , do the following: %3D iii) What is lim

A: Given Function, f(x)=1x

Q: 2. Construct a table of values to investigate 1 if x -1

A:

Q: Problem 2: You are given the step function below, where b is a real number: -6b, x ≥2 f(x) = {b²x 8,…

A: Given  f(x)b2x-6bx≥28x&lt;2

Q: Question 6. Find each of the following limits: r² + 7x 49 – x² * (a) limz→–7 7a + 25x² – 9x + 105…

A:

Q: Suppose that ƒ′(x)&lt;= 1 for 1&lt;= x&lt;= 4. Show that ƒ(4) - ƒ(1)&lt;=3.

A: Show that:

Q: -8x + 9 x<2 Let f(x) = %3D 2x2-15 x22 . Compute the following. (a) lim f(x) X2- (b) lim f(x) X2+ (c)…

A:

Q: (5х-4, E If f(x) = 0<x <1 show that lim f(x) exists. %3D 4x - 3x, 1<x<2

A:

Q: Let f be a function that satisfies |f(x)|<M_for all x# 0. Show that lim(x f(x))=0.

A:

Q: f(x) = cot Create a table of values for the function. (Round your answers to two decimal places.)…

A:

Q: , if x + -1 -2, if x = -1 Prove that f(x) = {x+1 is continuous at a = -1 by showing the following.…

A:

Q: 8. The function g(x) is written as: 5x + 3 if x 1 Find lim g(1+x²) x-0 g(x)= =

A: To find the limit of g(1+x^2) as x approaches to 0.

Q: 3. For each of the following, give an example of a function f satisfying the giver such a function…

A:

Q: Consider the following function. =√x-5 f(x): Find each value. (If an answer does not exist, enter…

A:

Q: Suppose f(x) has a removable discontinuity at x=10. How do we redefine the function to make it…

A: This question can be solved using the concept of limit and continuity.

Q: The function f is continuous for all real numbers. If lim f(x) = 0, then what is lim xe-2x)? x-2 x-1

A: The function f is continuous for all real numbers  If limx→2f(x)=0then if we put x=2t then…

Q: 4 (a) Evaluate lim,1 (금-) (b) Let f(z) = -r. Find the value(s) of z if the second derivative f"(x)…

A:

Q: You are given two functions, f and g if - 20 2.

A: solution:-according to the given graph of f(x)limx→0+ f(x)=-1limx→0- f(x)=0

Q: 31. If f is continuous and f(3) = 9, which of the following statements must be true? (A) lim f(3x) =…

A: Here we define which statement is true or false.

Q: 1) The graph of a function f with domain (-5, 5) is given in the figure below. 4 3 5 -4 -3 3 4 -2 -3…

A: a) You can see that, the graph of the function f goes -2 units below the x-axis at x=-2. Thus,f-2=-2

Q: Provide complete and clear solution for each question. Work Problem 2 ( +2 x²-x6 x²-100 x+10 B. Find…

A: 8

Q: 4. Explain what each of the following items tell you about the graph of f(x) using vocabulary such…

A: the given criteria for the function f is: f0=3f'3=1limx→∞f(x)=10f'(x)&gt;0 for all x.f''(x)&gt;0…

Q: Use the function f(x) = |x-3 | for questions 10-15. 10. Graph f(x) in the space provided, then write…

A: The given function is

Q: Question 2. Sketch the graph of a function f(x) defined for all x € R that satisfies all of the…

A: The graph is as follows