Determine where the function F(x) = 3x is continuous. 2 x + 49 The function is continuous on (Simplify your answer. Type your answer in interval notation.)

Q: Find all points where the function is discontinu 2. O A. x= -2, x 0 O B. x= -2, x= 0, x=2 O C. x-0,…

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Q: Use the graph to estimate the open intervals on which the function is increasing or decreasing. Then…

A: From the given graph we see that the vertex is at (3,-1)  So, up to x=3, the function was…

Q: Tell if the function is continuous at given interval f(x)=; 2x +4 |-2,2]

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Q: Use calculus to determine the interval(s) of increase and decrease for f.

A: We have to find

Q: Find f(2) Is f continuous at x = 2? Explain your answer.

A: Given function

Q: Consider the function below. List the answers. x2 – 12x + 35 f(x) x2 – 25 For what real numbers is…

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Q: For what values of a and b is the function f continuous on (- 00,00)? (Write only the values of a…

A: For what values of a and b the function f continuous on -∞,∞            a-3x     if x<-1f(x)= 4a…

Q: Consider the function below. List the answers. x2 – 7x + 10 | f(æ) = а? — 4х — 5 - - For what real…

A: Recall: Removable discontinuity is a point at which a graph is not connected but can be made…

Q: Find the constant a such that the function is continuous on the entire real line. f(x) = √5x², x ≥ 1…

A: We need to find a.

Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

A: Consider the given function: fx=x-1x-1 This can be written as a split function: fx=-1x<11x>1…

Q: Describe the interval(s) on which the function is continuous. (Enter your answer using interval…

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Q: Determine wether the function is continuous at a=4. x2-16 hキX ナ.? hニx ナ? fox メー4 6.

A: our objective is to check the continuity

Q: The function f (x) is in the interval

A: As per the given graph we see that there is no break or discontinuity in the graph of the function…

Q: Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable?

A: f(x)=x+2x2-3x-10 Finding the x value at which function is not continuous .  And which of the…

Q: Consider the function below. List the answers. x2 – 14x + 45 f(x) : x? – 25 - For what real numbers…

A: We have to find out the solutions

Q: Зх -5 S(x) = 2x? — х —3 х-3

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Q: 4x 82. f(x) = X - 3

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Q: Consider the function g(x)= x'e 2 Determine the intervals of concavity of the function.

A: Given : Function gx = x2 e12x   To find : Interval of concavity for the given function?

Q: Use the definition to determine whether the following function is continuous and differentiable at x…

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Q: Find the domain (in interval notation) of the following functions

A: Given function is,

Q: Determine the possible pairs of values (a,b) which make the function below continuous everywhere.…

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Q: ind the absolute maximum and minimum values of the function f(x) = x*sqrt(4-x^2) on the interval…

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Q: Find the domain of the function in interval notation: f(x) = 1 I+3

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Q: Consider the following function. f(x) =ex/x8 (a) Find the intervals of increase or decrease. (Enter…

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Q: Determine where the function is concave upward and where it is concave downward. (Enter your answer…

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Q: Determine where f(x) is continuous, algebraically. Enter the answer in interval notation.

A: Given data: The expression for the given function is f(x)=log18(10x+150)-7x. The given function is…

Q: Determine what, if any, value to assign to f(a) to make f continuous at x = a. x-4 f(x) = a = 4 x-64…

A: The given function is; f(x) = (x-4)/(x3-64) Repost the second picture.

Q: f (x) = 2x² – x + 6 -

A: The given function,   f(x)=2x2-x+6

Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

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Q: Consider the function f(x) below. Over what interval is the function concave down? Give your answer…

A: Consider the function: fx=4x3−6x2−x+10Differentiate w.r.t. "x",f'x=12x2−12x−1Again differentiate…

Q: Determine the interval(s) on which the following functions are continuous. 3x? - 6x + 7 g1x2 x + x +…

A: To Determine: the interval on which the following function are continuous . Given: we have…

Q: О 1,3] O [-3, -1] О (1,3] O [-3, -1)

A: open circle at a point  signifies that the point is not a part of the solution set  closed circle at…

Q: Find the value of a that will make the function continuous at every real number. x 2

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Q: Determine the interval(s) on which the following functions are contimuous. 1 f1x2 x? - 4

A: Given fx=1x2-4

Q: Find the constant a such that the function is continuous on the entire real number line. Sx³, x 9

A: The value of a = 9. First of all, consider the given function. For the function to be continuous the…

Q: For the given function, where is it concave up and concave down? Give your answers in interval…

A: Concavity of the function using second derivativetest

Q: Find all intervals on which f(x) is decreasing. f (x) = -,a² + + 19x – 42 + 28

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Q: Consider the function below. List the answers. x2 + 9x + 14 f(x) x2 + x – 2 For what real numbers is…

A: A rational function is discontinuous at the points on which the denominator is zero.

Q: SBx? - з (Bx + 2 if Suppose that f(x) = x > 2 if Find the value of ß so that f(x) is continuous…

A: For continuity, left hand limit=right hand limit=f(x)

Q: Given the function below, determine if the function is continuous at the point x why. 4. If not,…

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Q: fa)%=X+5 xeメ-30

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Q: Determine if the function f(x) is continuous and/or differentiable at x = 2? x+10 for 2≤x≤2 f(x) =…

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Q: Find the constant a such that the function is continuous on the entire real number line. Sx³, x 2…

A: Given : f(x) = x3,x≤2ax2,x>2 and the function is continuous. To find : value of a?

Q: Find the values of a and b that make f continuous everywhere. x² - 4 X - 2 ax? - bx + 3 2х — а + b…

A: The given function f(x) is continuous everywhere, thus the function is continuous at x = 2 and x =…

Q: On which interval is f(x) = x – 12x + 12 decreasing? o (-2, 2) o (-00, 2) o (-0, -2) U (2, +0) ㅇ…

A: Let's find.

Q: 1. f(x) = x² + 2x + 1 at x = 2 2. f(x) = 2-4 x-2 at x = 2

A: Continuity.

Q: Let f(x)= 6-x and g(x)= ln(x). What is the domain of g o f(x)? Express your answer in interval…

A: This question is based on functions and definition of Natural logarithm.

Q: For which value of c is this function continuous? Please use exact values. S x² – c² x 4 c = The…

A: Solution is given below:

Q: Determine if the following functions are continuous on the interval I. 2 (b) f(x) = x´ – 5;I = [-…

A: follow next step