Use interval notation to represent all values of x satisfying the given condition. y = 7 -  | x/2 + 2 | and y is at most 4.

Q: At what points is the function y=(x+1)/(x^2-3x+2) continuous? Describe the set of x-values where…

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Q: Determine the intervals in which solutions are sure to exist. (x² – 25)y6) + x²y" + 6y = 0 Enter the…

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Q: Given the function f' (x) = -x + 12x² – 36x, determine all intervals on which f' is increasing.

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Q: *The interval [a, b] for a function x^3 - 4 x- - ...... 9 = 0 is [2,3] O [0, 2] O [0, 1] O [1, 2] O

A: We need to find the interval for a function f(x)=x3-4x-9=0

Q: Find the specified domain and express it in interval notation. For f(x) = x2 – 64 and g(x) = 2x +3,…

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Q: write the domain in interval notation. g(t)=3square root of t-8

A: To find the domain of the function.

Q: Given the function f(x) = –2x4 + 16x³ which f is both decreasing and concave up. - 36x2, determine…

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Q: 6-Given P(x)=2x3+3x2+1 and Q(x)=8x-2, find all the possible values of so that Q(x)<P(X )state your…

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Q: The range of 4x +y = 4 is Blank 1 (Use interval notation) +y2 =

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Q: solve the following rational inequality for x

A: Givenx+1x+3&lt;0solve the following rational inequality for x

Q: f"(x) = x* + 2x3 – 15x², then on which of the following intervals is f

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Q: wrie the domain in interval notation. f(x)=1/square root of 8-x

A: Recall that, "only nonnegative number can have the even root". So, the radicand 8-x in the…

Q: Express the set of numbers x satisfying the given condition as an interval.        I x -4 I &lt; 2

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Q: Give the domain of s(x)=x2+2x√16−5xs(x)=x2+2x16-5x in interval notation

A: Given the functions(x)=x2+2x16−5x

Q: The function f(x)= x^2 - 6x+4 on which interval will f(x) have a root?

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Q: Solve f(x) is greater than or equal to x2+6x-7 over x2 -10x + 25    Write answer in interval…

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Q: Use interval notation to write the intervals over which fis (a) increasing, (b) decreasing, and (c)…

A: Proceed as shown below...

Q: Write the domain in interval notation. (a) k (x) =-3 x+4 x+4 (b) j(x) = x+3 x+4 (C) p (x) =

A: Domain of a function is a set of all the input values it can take for which the function remains…

Q: fg)(x)=  f(x)=3x−8 and g(x)=x2+16x+63 Use “U” to indicate the union of intervals.

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Q: Select all the intervals where g is decreasing.

A: Given data: The given graph of the curve g(x) is shown in the problem. By looking at the graph the…

Q: Use interval notation to express the set of all numbers x, such that x is greater than -3 and less…

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Q: Find the open intervals where f is increasing or decreasing. f(X)= 10 - x + x2

A: we have to find the intervals where f(x) is increasing or decreasing. f(x)= 10 - x + x2

Q: Find all numbers C in the interval [- 2, 2] guaranteed by the Mean Value Theorem for the function…

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Q: state all intervals of x where f(x) is increasing.

A: TO FIND INTERVAL WHERE f(x) is INCREASING FIND f '(x) and see interval where f '(x) &gt;0 f(x)…

Q: Find the intervals where g(x)= -2(4x+1)10 is increasing and where it is decreasing

A: Find first derivative using exponent rule and chain rule.

Q: Find Find the domain of G(x). (Enter your answer using interval notation.) (-0,0) U (0,00)

A: To find: The domain of fgx. Given: The function is fx=5x+6 and gx=xx+6. Concept used: The set of…

Q: The graph of f (x)3-x²-5x+6 has the point (2, -6) on it. O True O False

A: Given statement  The graph of f(x)=-x^2-5x+6 has the point (2,-6) on it

Q: State positive and negative intervals for f(x)=-2x-5 3x+18 Positive interval: Negative intervals:

A: We are given the function f(x)=-2x-53x+18. For positive interval:…

Q: Find the domain: f(x) = In(3 – x).

A: A function is a relation which maps each element in its domain to exactly one element in its range.…

Q: a. Find the intervals OF concavi ty and the 'inflecti o of -g(x)=x"-12x².

A: We will find the intervals of concavity and inflection points.

Q: In a class in which the final course grade depends entirely on the average of four equally weighted…

A: Given  Charles has scored 93 ,82, and 87 on the first three test. Average of four equality weight…

Q: Let f(x)=3x−3, g(x)=sqrt(2/x-3) and h(x)=2/x find h o f and its domain. Write answer in interval…

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Q: For Exercise, write the domain in interval notation. 4 h(x) : V3 – x — х

A: We can not have negative number under the square root and we can not have 0 as denominator too.

Q: Given the function f' (x) = -x3 + 12x2 f' is incileasing. 36x, determine all intervals on which

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Q: Find the domain and range of f(x) = 3(9x +7)2 – 7. Express your answer in interval notation using…

A: Given: The function is,

Q: Determine intervals in which solutions are sure to exist. (Enter your answer using interval…

A: Given that y''''+7y'''+6y=t Take y''''+7y'''+6y=0 Take m=ddx, m4+7m3+6=0(m+1)(m3-m+6)=0m=-1,3,2,2…

Q: For Exercise, write the domain in interval notation. 1 m(x) = 3 + In- Vii – x

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Q: Use the function f(x)=x^2-4 and g(x)=2x+20 and answer (a) (a) Solve g(x)&lt;=0. What is the correct…

A: Given: -

Q: Use the graph of to f(x) to the right solve the inequality f(x) > 0

A: From the given graph we have to find the value of x so that the value of the graph is greater or…

Q: I+ 4 Give the domain for h(x) = in interval notation. x2 6x 27

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Q: Find the open interval(s) on which f(x) = - 5x+ 50x +8 is increasing or decreasing.

A: Given that:

Q: find the values of x that make the function greater than or equal to zero.

A: Consider the given function, Rx=x-3x+2 For Rx≥0, x-3x+2≥0 Point of singularity, x = -2 Boundary…

Q: Given f(x) = x4 − 2x2 . Find the intervals of concavity

A: We find f"(x) using the power rule.

Q: Given the function k (x) = 2x³ – 9x² + 12x + 9. Find the interval when k (x) is concave upward.…

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Q: Give the domain of t(x) = V-1- x in interval notation. (-0,1) Hint: Remember that, when we are…

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Q: n 2sin(x)=1, on the interval 10, 2π], what is the value of x?

A: Given query is to find the value of x.

Q: Determine the intervals in which solutions are sure to exist. (x² – 9)y + x*y" +2y = 0 Enter the…

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Q: Determine the domain of f(x). Give your answer using interval notation. 2. if 1 sxs 6 f(x) = x2 -…

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Q: (-x? - 2х, х и -2 2) f(x) = (1, x = -2

A: Given:  fx=-x2-2x,  x≠-21,             x=-2 To Find: The intervals on which the given function is…

Q: Express the set of numbers x satisfying the given condition as an interval. |x − 4| &lt; 2

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