Find the x-values (if any) at which f is not continuous. Which of the discontinuities are removable? (Enter your answers from smallest to largest. Enter NONE in any unused answer blanks.) x + 6 f(x) = x²- x - 42 Select- :-Select-

Q: Find the domain for each function and express using interval notation. I + xS^ = (x)f b. x2-25 V3x+2…

A: A detailed solution is given below.

Q: Write the function y = x2 + 3x – 3 in function notation and find f (a + 2).

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Q: Let f(x) = 3x – 8 and g(x) = x + 2. Find the value of each of the following a. (f + g)(-5) f(2) b.…

A: Put the values in functions and determine the final values

Q: Find the domain of the function f(x) = – 2x? – 5x 1 Use interval notation to express your answer.

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Q: Select all ordered pairs that satisfy the function y=4x+3. O (-1-1) O (2, 11) O (4,7) D (7,1)

A: Consider the given function. y=4x+3 The objective of the problem is to find the ordered pairs which…

Q: Select all ordered pairs that correspond to input and output pairs of the function y = -2x + 3

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Q: The functions fand g are defined as follows. f(x) = g(x) = x x-4 x+8 x² +10x+16 For each function,…

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Q: A farmer wishes to fence the perimeter of a rectangular lot with an area of 1600 square feet. if the…

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Q: Find the breakeven point of the following functions: C(x) = 5x - 7 R(x) = 2x Approximately (2,…

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Q: Determine the intervals on which the function is concave up or down and find the points of…

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Q: Let f(x) = 10 − 3x2. Find each function value. a. f(2)   b. f(−4)   c. f(x − 1)

A: Since, we have f(x)=10-3x2(a)f(2)=10-3(2)2 ⇒f(2)=10-3(4)=10-12⇒f(2)=-2

Q: Find the domain of the following function. Write your answer in interval notation.

A: Domain means the possible values of x. All real numbers are possible for the value of x. So the…

Q: Select all ordered pairs that satisfy the function y=5x + 4

A: Given,          The function is y=5x+4.

Q: Write the domain of the following function using interval notation. 3x-5 f(x) 4-3x

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Q: Find the value of x in each case. C |147° F E 4x B A x =

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Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.