What is the limit of the function below as x 2? y 10 (x from 1 to 3) 1.5 2.0 2.5 3.0 -5 -10 O a. 1/r O b. o0 -00 O d. 0 O e. does not exist

Q: 2x Let f (x) = x+3 Then f is increasing over R*. False True

A: We will check for the sign of first derivative If f'(x)≥0 , then f(x) is increasing If f'(x)≤0 ,…

Q: Determine where the following function is continuous. x-4 M(x) = 9x2 - 25 The function is continuous…

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Q: Use the graph of f(x) shown below to answer each question.

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Q: if x 1 a) f(-2) b) f(-1) c) f(0) d) f(1)

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Q: Suppose f is a continuous function, and the following facts hold: f(2,10,9) = 8, and Duf(2,10,9) =…

A: Definition: Directional derivative is the rate of change of f(x, y, z) in the direction of the unit…

Q: 3. The function f(x) = 5 is continuous at all points of its domain? x²-16 A. True C. Maybe B. False…

A: We know that The domain of a function is the set of input or argument values for which the function…

Q: Is f continuous at x = 4? (2.0) 1 2 3 4 5t -5 4 -3 -2 -10 Yes O No

A: We have to check whether the given function f(x) is continuous at x = 4 or not.

Q: Find the values of a and b that make the following function continuous. f(x) { 8x if x 2 7x What is…

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Q: For what value of k is the function f(x)= Select one: O a. O b. 064 d. 2* 2x²-9x+10 x-4 7 x=2 k, x =…

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Q: For what value of the constant c is the .! function f continuous at x-3 |cx – 2 , if x 3 2 -1 -2 1

A: If function is continous then,limx→n+ fx =limx→n  fx = fnat point nso at given point x=3limx→3+ fx…

Q: For the function below, choose a limited domain that would make the unction one to one, but would…

A: A function is said to be one-one is for each x in domain of that function gives a value to f(x) that…

Q: x³ – 9x? 10. Find the intervals on which the function h(x)= is continuous. x³ – 5x² + 6x

A: Rational functions are discontinuous where the denominator is zero .  h ( x ) = f ( x ) / g( x )  If…

Q: For what value of k will the function f be continuous on (-∞, ∞)? x² 2 f(x) = = x + 3 k if x # -3 if…

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Q: Which of the functions shown below is differentiable at x = -3? Select the correct answer below:

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Q: 31-35 fx) = - 2x+4 [-2,2]

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Q: Which of the following best describes the function below? S(x)={3r if.rs2 |x³ if 2<x f(x) =: A.…

A: To check continuity we find left hand limit and Right hand limit. If they are equal then function is…

Q: II. Consider the function x<-2 -2 sxS1 1<x x+2 Determine if f(x) is continuous over the given…

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