Write a function of x for each rule given. a) Multiplies the input by 8 and then adds 10 f(x) = f(x): b) Adds 10 to the input and then multiplies by 8 f(x) c) Divides the input by 11 and then subtracts 12 f(x) : d) Subtracts 12 from the input and then divides by 11 f(x) =

Q: Give an example of a function whose domain D has three elements and whose range R has two elements.…

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Q: Find the extreme values on the interval:   f (x) = 6x4 − 4x6, [−2, 2]

A: Derivative determines the change of variable with respect to another variable. When we equate first…

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Q: Construct the sign diagram of f(x). f(x) = x − 1/x2 − 3x + 2 .

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Q: 5. Use the equation to classify the function as odd, even, or neither. g(x) = 4x3- x %3D

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Q: f(x)%3DX²-2x+5

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Q: If f(x) = V3x² – 12x + 12, express the function, f, in simplified form.

A: Given function is fx=3x2-12x+12. To express the function f in simplified form. Solution: We have…

Q: find The domain of Ha function

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Q: x2 + 4х + 3 23. у %3

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Q: let I = ff) be a non-zero idea] of F[*].

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Q: Find the domain of the function f(x) = In(4 - x2).

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Q: 8. Explain why the power rule cannot be used to differenti- ate the function (2 – x) 1/3.

A: To explain: The reason that the power rule cannot used to differentiate the function 2-x13. Concept…

Q: Compute f’(-2) using shortcut rules. f(x) = 5x + 9

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Q: Identify the removable discontinuity. x4 f(x) : + 3x3 X + 3 (х, у) 3

A: To identify the removable discontinuity.

Q: Let f(x)=2x²-3x+1, find the valu

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Q: Exer. 43-50: Simplify f(x), and sketch the graph of f. 2x²+x-6 43 f(x) x² + 3x + 2

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Q: A function f is defined by Ax + 5 f(x) 6x - 2 If f(1) = 4, find A.

A: Given: fx=Ax+56x-2  ……1   and, f1=4  ……2   To find: A

Q: Find the maximum value of f(x)=−5x2+5x+6 on the interval [−20,20]

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Q: Find if f (x) = 3x* – 4x3 has any absolute extreme value/values in (-2,+00).

A: Givenf(x)=3x4-4x3To find Absolute maximum and absolute minimum values.

Q: Determine f, (x); f(x) = Vx² + 4

A: This question about differentiation

Q: Let f(x) = 3x2 - 2x + 4, find f''(x) and f''( – 4). = (x),.f Preview f''(– 4) =

A: Answer is both value is 6 and explanation is given below in the image.

Q: Let f(x)=x−3x−−√3f(x)=x−3x3 Can you please show me how to find what values are concave up or down?

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Q: Rewrite f(x) = |4x + 4 – 3 as a piecewise function. %3D (4x + 4) -3 x if x

A: Solve by piecewise defined functions

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Q: Show that the product rule works for the case f (x) = x2, g (x) = x3.

A: Given that, fx=x2gx=x3 We have to show that the product rule works for the case of given functions.

Q: How many pieces is this Piecewise Function composed of?

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Q: Use the intermediate value theorem to show that the function f(x) = x³ – 3x + 1 has an x-intercept

A: Intermediate value theorem

Q: Let f(x) = {x2 + 2x - 1, if x ≥ 2, or 3x + 1, if x < 2}. Find f(5) - f(-5).

A: Function: f(x)={x2+2x-1, x≥2           {3x+1 , x<2We need to find f(5) and f(-5).

Q: f(x) =    4x + 7      1< or = x < or = 2                 4x2 - 1      2 < x < or = 4  determine…

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Q: Find the domain and range of the function. (Usel interval notation.) f(x) = 9x

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Q: If f (x) = x-x, show that 2.

A: Since this is a multiple question, according to the Bartleby answering rule, only first question is…

Q: Determine the number of possible positive and negative zeros for the given function in accordance…

A: To determine the number of possible positive and negative zeros of the function.

Q: Find the domain of the function. f(x) = 20x +3             x-7           (−∞, 7) ∪ (7, ∞)…

A: The first option is the correct option. Consider the function f (x) and the condition for the…

Q: Evaluate the function f(x)=2x+4 When x={2,3,7}

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Q: The graph of f (x)%3D-x-5x+6 has the point (2, -8) on it. True O False

A: given function :

Q: Let f(x) = /2x² + 4x + 7 = (2),f f'(1) =

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Q: Let f(æ) = 6x2 + 4x Evaluate f'(x) at x = 2.

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Q: Let f(x) = 2x2 – x +1 and let g(x) = x – 4. Which statements are true? %3D

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Q: Set  up the composite (gof)(x) when f(x)=2x^3-7x and g(x)=9x^2-7

A: Given function is

Q: Let f(r) = 3x² + 4x + 5 = (x),f f'(1) =

A: To find the derivative

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Q: Determine the sum of f(x)=x^3+3f(x)=x3+3  and g(x)=x+1g(x)=x+1 give the domain of the sum.

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Q: Show that f(x) = 2x3 + 3x2 − 36x is not one-to-one on (−∞, ∞).

A: Given: f(x)=2x3+3x2-36x, -∞,∞

Q: Find f such that f'(x) = 8x + 3x - 3 and f(0) = 4. %3D

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Q: Let

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Q: Find a rule for g-(x) if: g(x)=4x

A:

Angles in Circles

Angles within a circle are feasible to create with the help of different properties of the circle such as radii, tangents, and chords. The radius is the distance from the center of the circle to the circumference of the circle. A tangent is a line made perpendicular to the radius through its endpoint placed on the circle as well as the line drawn at right angles to a tangent across the point of contact when the circle passes through the center of the circle. The chord is a line segment with its endpoints on the circle. A secant line or secant is the infinite extension of the chord.

Arcs in Circles

A circular arc is the arc of a circle formed by two distinct points. It is a section or segment of the circumference of a circle. A straight line passing through the center connecting the two distinct ends of the arc is termed a semi-circular arc.