1. The graph of f (x) is given below. Based on this graph determine where the function is discontinuous. -4 -3 /-2 -1 -1 -6 -5 6 en 2. 2.

Q: The graph of f (x) is shown below as a red dashed curve. Drag the movable blue point to obtain the…

A: The transformation of the graph of function y = f(x) to g(x)=f(x-4)-1 can be obtained by translating…

Q: 1 2 The graph of the piecewise function f(x) is shown. -4 -3- -7 -6 -5 -4 -3 -2 -1, 3 7 x -2 -3 -6…

A: The half of the question is missing , but I tried to give the answer. The range of the given…

Q: 1. Answer the following questions: (a) What is an even function? How to recognise the graph of an…

A:

Q: 7. Sketch the graph of a function that satisfies all of the following conditions. is an even…

A: Note that there are many possibility to draw the graph that satisfy all the given conditions.

Q: 6. Given the following graph of f'(x), give all domain values where f(x) is both increasing and…

A: From the given graph we can say that  Domain of f'(x) is (-∞,∞), and f'(x) is positive in (-∞,-3)…

Q: 1. Use the graph of f(x) given below to decide whether the value of the given quantity exists. If it…

A: The solution are next step..

Q: 9. The graph of the function is sketched as follows: Y 38 Determine the interval(s) on which the…

A: By observing  graph in first part function is decreasing in interval [-8,-1] in second part function…

Q: 24. The graph of f(x) is given below. Based on this graph detemine where the furction is…

A:

Q: At which value of x is the function whose graph is shown below differentiable? 8 -8 -6 8 0=7 O=14…

A: To determine the value of x at which the function whose graph is shown below is differentiable.

Q: 6. Below is the graph of f (x). For each of the given points determine the value of f(a) and lim f…

A:

Q: Consider the following graph of the function g. 3 For which value(s) of a does g(x) approach a…

A: We have to find for which values of a does the function g(x) approach a different number from the…

Q: Below is the graph of y = f(x). Find the function of the transformed graph. 4. 3- T 43 -2 1 2 -4 -2…

A:

Q: 4. Below is the graph of f(x). For each of the given points determine the value of f(a) and lim…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 1. Consider the graph of a function. Graph its inverse on the blank template. to 3 2 1 lio -3 -2 1 2…

A: Solution:

Q: 11. Consider the function f(x) %3D * + 4 (a) Is the point ( 1.-) on the graph of f? (b) If x = -2,…

A:

Q: (2) EL At what point does the graph of the following function has inflection point y = Vx2 – 4 the…

A: Solution-

Q: 1. The graph of f (x) is given below.. Based on this graph determine where the function is…

A:

Q: 2. Sketch the graph of the following piecewise function x E (-∞, –3) -1 * + 2 -3 2 Let g(x) = -…

A:

Q: .Which of the following best describes the function f(x) = (x- 2)(x + 4)2 1. The graph is tangent to…

A: The given function is f(x)=(x-2)(x+4)2

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

A: From given graph it is clear that

Q: 1 Use the given graphs of f and g to estimate the value of f(g(x)) for x = -5, -4, -3, ..., 5. Use…

A: See the attachment

Q: Given the graphs of f(x) and g(x) is given by f(x) g(x) Which of the following is True Select one: O…

A:

Q: The graph of f (x) = x² is transformed to create the graph of g (x) = -. Which of the following…

A: Given,          The graph of fx=x2 is transformed to create the graph of gx=-15x2.

Q: 4. Below is the graph of f (x). For each of the given points determine the value of f(a) and lim f…

A:

Q: Sketch the graph of the following curves by s stretching the graph of the given functions appr (a)…

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

Q: In the graphs given below, the function h(x) (in the left graph) has been transformed to yield the…

A:

Q: Apply the tranformations indicated for the graph of the general functions given | g(x) (-1,-4) х /2…

A: Note: Points are not labelled correctly in the given graph, I have corrected them. Solution: All the…

Q: Where is there a hole (point or removable discontinuity) in the graph of the followin function? x-1…

A: solve the following

Q: Зх— 12 Given a function defined by f(x) = for what х2 — бх + 8 value(s) of x is the function…

A: A function is said to be dicontinuous if it is not defined at a point fx=3x-12x2-6x+8…

Q: 1. Sketch a graph of the function f given by f(0) = 2sin(0). y 4 1 + -1 4 -2 -3 3. 2.

A: This question is based on graphing a trigonometric function value at specific angle and by joining…

Q: Consider the graph of the function f (2) as shown on the coordinate grid. How can f (x) be changed…

A:

Q: 5. Without using a calculator, make a rough sketch of the graph. (a) y x' (d) y 4 x (b) y (x+ 1) (e)…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: The function g is related to one of the parent functions described in ah earller g(x) = |x – 1| + 5

A:

Q: - x+1 1 (G) Draw the graph of f(x) %D 2 |10- 7- 4 10 -9 -8 -7 -6 -5 -4 -3 -2 -1 -1 1 2 3 4 5 6 7 8…

A: fx=12-x+1

Q: 12. What happens to the graph of a function y = f(x) if you replace z with r and with 공y? O The…

A: If we multiply 1/3 to y then amplitude of function get increases means it get streched by 3 times…

Q: 8. (a) Sketch the graph of f'(x) by using the given graph of y = = f(x). I ¦ f(xX ¦ 11 r-x--r 14

A:

Q: 11. State a function rule for the following graph. -x+3 if x<2 A. f(x) =- X-5 if x 2 2 dong…

A:

Q: 2. If you graph the function 1 - el/ x f(x) 1+el/x you will see that f appears to be an odd…

A: Recall the following fact.

Q: The graph of y = f(x) is graphed below. What is the end behavior of f (x)? 500 400 30 200 100 10 -8…

A: Analysing the graph of f(x) when the value of x is tending to infinity and-infinity

Q: Z-3 f(2) = (z – 3)(x – 1)

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

Q: 18. For the graph of the given function, state the intervals over which this function is increasing…

A:

Q: 6. Below is the graph of f(x). For each of the given points determine the value of f (a) and lim f…

A:

Q: 1. Use the graph of the function f to decide whether the value of the given quantity exists. (If an…

A:

Q: 6. Which of the following is true about the function f(x) = xe¯*? A. (1,-) is local maximum for f B.…

A: If second derivative is less than zero then we get maximum value

Q: 1. Consider the function f(x) whose graph is given below. -1 0 1 -5 -4 -3 -2 2 3 6.

A: Answers are given below

Q: If we shift the graph of f(x) = 3/x by one unit upward and two units to the left then we get the…

A:

Q: 4. Below is the graph of f (x). For each of the given points determine the value of f(a) and lim f…

A:

Q: Which of the following statements is not true? 1) The graph of an odd function is symmetrical about…

A: 1. As when graph of a function is symmetric about y-axis then it is an even function. But in option…

Q: 14. Given the following graph of the function y=f(x), construct the graph of the function y= f"(x).…

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.