4. Let function g: R → R be defined by g(x) = |x|. g(0+h)-g(0) h B. The value of lim 9(0+ h) − g(0) h→0 h C. Your results from Parts A and B imply that g' (0) is undefined. Explain. A. The value of lim h→0+ is equal to 1. Through some combination of pictures and/or words, explain why this is so. is equal to 1. Through some combination of pictures and/or words, explain why this is so.

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

A:

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A: Given: The domain of the function is all real number,  limx→∞y(x)=5limx→-3y(x)=-∞limx→4y(x) does not…

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A: To evaluate the indicated limits:

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A:

Q: Which of the following statement/s is/are true about the function whose graph is shown below? A fx)…

A:

Q: Answer the following questions. Record your answers on the line provided. 1. Use the graph of y=h(x)…

A:

Q: 7. The graph of a function y=f(x) defined on the interval (-∞,6) is shown below. Use the graph to…

A: Given,

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A: The given graph is: Use the graph of f(x) to answer the following: a. limx→1+f(x)b.…

Q: lim 극 et – 1 x-1

A:

Q: What is the lim→1+ f(x) for the function f(x) graphed below: 2 -3 -2 -1 3 -1 -2 -3

A:

Q: 2. Assume all given functions are continuous. If lim (ƒ(x) – g(x)) = 10 and ƒ(5) = −8 x → 5 Find…

A: The objective of the question is to find the value of g(5) given that the limit as x approaches 5 of…

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Q: Which of the following is not true based on the graph below? A. lim, () 4 c.lim, f(x) = go D. f(x)…

A: Given query is to find the correct option.

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Q: f (x+h)– f (x) Evaluate lim for A(x) = dw nislqx %3D | h0 h

A: In this question, we had to evaluate the limit.

Q: 14. A species of freshwater fish called Perch was introduced into a large lake. The equation below…

A:

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: Sketch the graph of the function f and evaluate lim f(x). (x+5, if x s-3 f(x) = %3D -2x-1, ifx >-3

A: Given, f(x)=x+5,          if x≤-3-2x-1,    if x>-3