Given the graph of the function fx) = In(x²) – 2 on the interval [-10,10]. -10 -5 5 10 Use the graph and the definition of absolute value to rewrite the following without absolute value signs: Iln(x2)

Q: The point (1,6) is on the graph of y = f(x) . What would the new co-ordinates be for the function…

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Q: Use the Intermediate Value Theorem to show that there is a root of the given equation in the…

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

A: We can check the answer is true or false as below

Q: Express the set of numbers x satisfying the given condition as an interval. |x| < 4

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Q: Find f.g and f-g. Then, give their domains using interval notation.

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Q: Express the set of numbers x satisfying the given condition as an interval. |3x + 5| < 1

A: 3x+5<1

Q: Determine the open intervals on which the graph of the function is concave upward or concave…

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Q: Express the set of numbers x satisfying the given condition as an interval. |4x − 1| ≤ 8

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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: Where is the greatest integer function f(x) = [[ x ]] not differentiable? Find a formulafor[' and…

A: We need to find where the greatest integer function f(x) = [[ x ]] is not differentiable. We know…

Q: f(x)%3DX²-2x+5

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Q: If the function f (x) is continuous for all real numbers and if f (x) x²-4 when x + -2, then x+2 f…

A: f(-2) = -4

Q: Find the intervals on which f (x) = x(x + 2)(x − 3) is positive by plotting a graph.

A: The graph of the given function is shown in the figure below.

Q: If the function f is increasing on the intervals (-5,1) and (9,21) and decreasing on the interval…

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Q: The function is on the interval くx< (segment 1), on the interval くく |(segment 2), and

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Q: Find the roots off (x) = x 4 - 4x 2 and sketch its graph. On which intervals is f decreasing?

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Q: Express the set of numbers x satisfying the given condition as an interval. |x + 7| &lt; 2

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Q: 5- For the function f(x)=x³/3(x²-3) – 3/2, determine: a- The domain. b- The x and y intercepts. c-…

A: Given problem:-

Q: Identify any x-values at which the absolute value function f(x)=5|x+8|, is   not differentiable:…

A: Given: fx=5x+8

Q: Use the given graph of f(x) = √x to find a numbersuch that   if  |x - 4| &lt; ?  then  |√ x - 2|…

A: Given function is fx=x Suppose that x-2&lt;0.4 is equivalent to the -0.4&lt;x-2&lt;0.4 We know that…

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

A: Given: fx=(x2+4)(x2-1)

Q: Given the function g(x) = – 2x* + 7x" +x2 + r - There are at most x-intercepts, and based on the…

A: For a polynomial P(x) of degree 'n' 1. The maximum number of x-intercepts is given by 'n' 2. The…

Q: (b) : Verify that the Intermediate Value Theorem applies to the indicated interval and find the…

A: Given , f(x)= x²-x in the interval [1,5]

Q: Verify that the Intermediate Value Theorem applies to the indicated interval and find the value of c…

A: Given function  fx=x-63+4,    4, 7

Q: . If f : (0, 3) → R is continuous, must its range be an open (possibly infinite) interval?

A: See the detailed solution below.

Q: Use the given function and the given 2x +15x -24x on [0,5] . Determine the absolute extreme values…

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Q: Express the following in interval notation. 3. 4 < x < 19

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Q: If the point (π/6, -6) lies on the function y = 2sin (x + k) – 7 for the interval 0 ≤ k ≤ 2π,…

A: Given that  y= 2sin(x+k)-7 point(π/6,-6) lies on curve

Q: Find the domain of the function. h(x) = Inx+In(2-x). Express your answer in interval notation.

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

Q: express the set of numbers x satisfying the given condition as an interval.       lxl ≤ 9

A: Given: x≤ 9 Express x≤ 9 in terms of interval

Q: f(x)%3D2X-1

A: Given, f(x) = 2x-1

Q: 4. Find the intervals in which the function f(x) =x³ – 6x2 +9x +30 is concave up/concave down. Also…

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Q: Find the intervals on which the graph of f is concave upward. f(x) = In (x² – 2x + 10)

A: f(x)= In(x2 - 2x + 10) To find the intervals on which the graph of f is concave upward.

Q: express the set of the numbers x satisfying condition |x-1| &lt; 18 as an interval

A: The condition |x-1|&lt;18 is rewritten as,

Q: Find all intervals where the graph of f(x)= x3-18x2+10 is concaved downward, intervals where it is…

A: When f''&gt;0 then function cancave upward when f''&lt;0 then function cancave downward  when…

Q: 4) Find the intervals where the function g is positive and enter exact answers only in interval…

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Q: Find the intervals on which f(x) = - (x+ 2)(x + 0.5)(x – 3.5) is positive by plotting a graph. f(x)…

A: follow next step

Q: If f : [0, 3] → R is continuous, must its range be a closed interval?

A: Given data: The expression for the function is f : [0,3]→R. The continuous image of the open bounded…

Q: Given the function f(x) = -x* + 8x? + 2, determine the absolute maximum value of f on the closed…

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Q: Find the are under the graph of f(x) = 4-x2  on the interval (-2,1)

A: Given, f(x) =4-x2  we have to find the area under the curve on the interval (-2,1)

Q: Can the False Position Method be used to find the root of f(x)= –', starting with the interval…

A: In False Position method , select the starting interval, a,b such that a&lt;b and fa·f(b)&lt;0 .

Q: given the function g(x)= x^3-2x^2+x, find the intervals when g is concave up decreasing at the same…

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Q: Find the domain of the function f(x) = √7x − 3 - In interval form, the domain of fis Cubr

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Q: absolute extremum of the function on the given interval.

A: Absolute Extremum:- Suppose f is function on interval a,b then,i the y-value fc is an absolute…

Q: What is the absolute max and min values of f(x)= x²ex on x€[-5,1]

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

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Q: Lars was 20 inches tall when he was born, and six foot one when he died at age 83. Use the…

A: Intermediate value theorem :- Let f be a continuous function on [a,b] and f(a) =/ f(b) with f(x)…

Q: Determine the open intervals on which the graph of f(x) = (x2 + 1)/( x2 − 4) is concave upward or…

A: To find the open intervals

Q: On which intervals is the function f(x)=-2x^(3) +3x^(2) +36x+4 increasing? Do not draw a graph.

A: The objective of the question is determine the interval in which the given function is increasing.