3. Consider the following graph of a function f. a. What is f(-2)? b. What is f-1(-2)? c. What is the domain of f-1? Express your answer in interval notation.

Q: (1-4x, if x -2 f (x) = { 1+4x, if x >-2

A: Given : piecewise function. To find: f(-3) =  f(-2) =  f(1) =

Q: Sketch the graphs of the following function. f (x) = 4/3x3 - 2x2 + x

A: Sketch the graph of the following function. f (x) = 4/3x3 - 2x2 + x

Q: Sketch the following function. Also, make sure to clearly label the point that corresponds to x = 2…

A: Given- f(x)=-3x-2+1 To sketch the given function and to label the point corresponding to x=2.

Q: Sketch the graph of a function f for which f(0)=0

A: f(0)=0 We need to sketch the graph of the given function.

Q: (3) Create the function which best describes the graph show below. f(x)_8 -7- -5- 3 2 -7 -6 -5 -4 -3…

A: Answer

Q: - Find and classify the discontinuities of the function f(x) x2 - 1

A:

Q: Sketch the graphs of the following function. f (x) = x3 + 3x + 1

A: The function given is fx=x3+3x+1. For x=0, f0=03+30+1.=1. For x=1, f1=13+31+1.=5. The table for the…

Q: Consider the function f(x) with the following graph: 2 Compute f'(-1). 3. 2.

A:

Q: Consider the graph of f(x) given below: 6 f(x>

A: Given,

Q: 5. Sketch the graph of the following functions based on your knowledge of the graph of f(x) = |리1.…

A:

Q: Consider the following function f (x) = 2 |2 - 2|- la 4| What is f(35)

A: Since you have posted multiple questions, we will answer the first question. If you want the…

Q: 1 Suppose that f is a function given as f(x) = 2x -7

A:

Q: When f(x)→±∞ as x→a from the left or the right, x = a is a ________ ________ of the graph of f.

A: Given that when f(x)→±∞ as x→a . We need determine the nature of x as x=a such that f(x)→±∞.

Q: Consider the following graph of f (x). Which of the following are inflection points off? -8 -7 -6 -5…

A: Point of inflection

Q: Match the following graph of f to the graph of f'. 3 4 -3 2 ५

A: Given graph of f is a straight linePassing through (0,2) and (2, 0).Then equation of line Passing…

Q: /hich of the following relations is NOT a function? *

A: Use the vertical line test to determine whether or not a graph represents a function. If a vertical…

Q: x, if -1くx<

A:

Q: Use the following graph of f(x) to describe the behavior of f '(x). State where f '(x) is positive,…

A: Given Graph of the function

Q: (3) Create the function which best describes the graph show below. f(x) 8- -7- 6. -5 4- -2- -7 -6 -5…

A:

Q: Sketch the graph of a function f for which f ' (0)=3

A: Given: f'0=3 To sketch: The graph of function f with the given property,

Q: 7. Consider the function f graphed below. 2 -4 4 -2

A:

Q: is there an easy way to determine what function, on a graph is f, f' , and f''

A: I have given an answer in step 2.

Q: Sketch the graphs of the following function. f (x) = 5 - 13x + 6x2 - x3

A: The given function is  fx=5-13x+6x2-x3 The y-intercept of the function will be when x=0,…

Q: Sketch the graphs of the following function. f (x) = 1 - 3x + 3x2 - x3

A: we have to sketch the graph of the function f (x) = 1 - 3x + 3x2 - x3

Q: Suppose you're given the following table of values for the function f(x), and you're told that the…

A: To Check: Which option is correct. Given: The values are f-2=5, f-0.35=-3, f0=2, f0.53=2 and f1=-5.…

Q: at is the graph of the function

A: Given that: f(x)=4-xx+2

Q: Use the following graph of f '(x) to describe the behavior of f (x). State where f (x) is…

A:

Q: The graph of the function f is given below. f is not differentiable at

A: For differentiability of a function,  Left hand derivative = Right hand derivative  That is :

Q: Determine whether  the following statement is true or false, and explain why. If ƒ″(c) = 0, the…

A: The given statement is true.

Q: 1. Approximate the following, given the graph of the function f. If infinite, indicate either o or…

A: (d).   We have to find the limit of given function at x = 14.

Q: State whether the following statement is true or false. The graph of the reciprocal function f(x) =…

A:

Q: Assume that (a, b) is a point on the graph of f. What is the corresponding point on the graph of the…

A: The point on the graph of f is a, b.

Q: 4. Classify the function on the graph as odd, even, or neither. 2 2. 4 -2,

A: Graph of the function is given, we have to find it is odd or even or neither

Q: f(x) -1 -3 -1 1 3 2. 3.

A: Function values gives in a table , we have to find when the function takes positive.

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

A: Given that:

Q: 5. Sketch the graph of f'(x) on the graph of f(r) provided.

A:

Q: Consider the following. f(x) = (x + 4)? (a) Sketch a graph of the function f.

A:

Q: For f(x) shown below, which of the following graphs is f "(x)? 10 10 -1 -2- 10- 280

A: The objective is to identify the graph of f''(x), for the given graph of f(x).

Q: 2. Consider the following piecewise-defined function. (2x? + 1, xs2 fx) =}1 įx-1, x>2 Part A: What…

A: Since you have posted multiple subparts, as per our policy we will answer first three subparts.…

Q: (3) Create the function which best describes the graph show below. f(x) 8 -7- -6 -5 4- 3 -2- -7 -6…

A: Here the given function is piecewise function so we need to obtain by using graph

Q: Which description below is true for the the domain of the following function?

A:

Q: Answer the questions about the following function. 6x2 f(x) = x* +9 (a) Is the point (-V3,1) on the…

A: We solve the problem by the instructions given in the question above.

Q: ? What is the domain of the function h(x)=

A:

Q: 5. Sketch the graph of the following functions based on your knowledge of the graph of f(x) = |x|.…

A:

Q: (3) Create the function which best describes the graph show below. f(x) 8 -7- -6. -5 4- -3 -2 -6 -4…

A:

Q: Answer the questions about the following function. f(x) = 4x² – x – 3 (a) Is the point (- 1,2) on…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

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.