Determine whether the function is continuous at the given points. x+2 if x22 : 2,0 x if x<2 f(x) = Is f(x) continuous at x = 2? No Yes Is f(x) continuous at x 0? No Yes

Q: Let f be a function of x. Then f (10x) = 10 (f (x)). O True O False

A: the answer for the above statement is false. the explanation is given in the below step

Q: What values of a and b make the function f continuous everywhere? x² 4 a = f(x) = and b = - " X 2…

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Q: x+5 4. f(x) = %3D x2-5x+4

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Q: Determine the values of x for which f(x) is discontinuous.

A: For x&lt;=3, f(x)=3x-12 is continuous

Q: Let f + 1 be a non-zero function. We can find differentiable function f with f = f. False True

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Q: Find the open intervals where the function f(x)=-2/x+1 is concave up and concave down. State any…

A: According to the given information, it is required to calculate the interval where the function is…

Q: Suppose that f(x) is a function with f( – 1) = – 9 and f(3) = 9. Determine which choice best…

A: given: we have a function f(x) such that f(-1)=-9 and f(3)=9. the given statement is: ''f(x)=0 for…

Q: Find the discontinuities of the function f(x) = discontinuity and redefine if removable. x-1 ex x >…

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Q: Where does the original function f(x) increases and decreased

A: f'(x) = +ve→f(x) will be increasing in this range.f'(x) = -ve→f(x) will be decreasing in this…

Q: Consider the function f(x)=2x* – 4x² +4. Isƒincreasing or decreasing at the point x - 0.5?

A: Since you have asked multiple questions in a single request, we would be answering only first…

Q: Give some examples of functions that are not continuous and state the values of x for which they are…

A: Few examples are given witch is not continuous.

Q: A function f is defined by f(x) = X ‚ x # 2. Find f¯1 (-3) 2¹ x-2

A: Since, a function f is defined by f(x)=xx-2-(i), x≠2.Our Aim is to find the value of f-1(-3)=?

Q: Which . functions are continuous through its domain?

A: Continuous Function: A function fx is continuous at a point c of its domain if  limx→cfx=fc A…

Q: Show that Rolle’s theorem is false for the function f(x) = |x| on the interval [−2, 2]. How can a…

A: Given function f(x)=|x|interval [-2,2] We apply Rolle's theorem only when the function is continuous…

Q: Let the function f:[0,1]->R be defined by 4x f(x) 4x + 2 Then, what is the value of 39 f ƒ ( ²1 ) +…

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Q: Let f(x)=ex-1+2ln(x)+5x . Assume that f(x) is a one-to-one function. What is f-1(6)? **Hint: The…

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