Problem. (problem 10) Determine whether the function f(x) given below is continuous at a = 1. 22 for æ <1 f(x) = for æ = 1 z +1 for æ > 1 f(1) lim f(x) = lim f(x) = ?

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: Is the function (x² - 1)/(x - 1) continuous at x = 1? Answer this question by evaluating f(1) and…

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Q: 2. Use the graph of y = f(x) to answer the following. (a) lim f(x) = . 2 (b) lim f(x) = (c) lim f(x)…

A: Using graph: (a).  Left hand limit: limx→2- f(x)=5

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

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Q: Which of the following functions satisfy the following conditions lim f(x) = 0, lim f(x) = , f(2) =…

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Q: 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)…

A: Solve the following

Q: 2. In each Find the function f and the point a. case, the limit given represents the derivative of a…

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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: 10. y = f(x) y (3,0) (1,-2) (a) lim f(x) x1 (b) lim f(x) X3

A: Given: Graph of the function:

Q: 6. True or False? Correct any false statements or say why they are false. a. A function cannot cross…

A: Here we will discuss about true or false of given statement.

Q: D. Sketch the graph of a single function f that satisfies all of the following conditions: i) lim…

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Q: f(x) = x³ (7) (8) is continuous for all x but not differentiable at x=0. _limf(x) may or may not…

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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…