2. Graph the function f (x) = 5(0.5)- and its reflection about the line y=x on the same axis, and give the x-intercept of the reflection. Prove that ezIna, [Suggestion: type y = 5(0.5"){-7

Q: 1. Consider the function y = f(x) as graphed below. -3 -2 -1 이 (a) Fill in the following table. If…

A: Given the graph of the function f(x):

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A: Solution is given below

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A: Topic: Geometry

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A: sin 2x =2sin x cos x

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A:

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Q: The function g is differentiable, and the tangent line to the graph of y = g(x) at x = -4 is y = 5x…

A:

Q: Q2 (a) Sketch the following function of period 27. f(x)= |x| (-1 ≤ x <n) f(x + 2x) = f(x)

A: f is 2π periodic function, f(x+2π)=f(x) I sketch the function from -5π to 5π. 5 copies of the…

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A: Here we have to find the equation of tangent line.

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A: Explanation: Given a function f(x) and point of tangency (x,y). Also given that, the tangent line…

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A:

Q: 6. The following graph is the derivative (f') of a function f. to -4 а. For what values of x is f…

A: (a).  The function f is increasing when: f'(x)&gt;0

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A: To express the height (h) in terms of atmospheric pressure (p) by given equation:

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A: Given,

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A: Given,

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A: Given function y=gx=3x2-4x+2 and tangent is parallel to line y=2x+3 parallel line has same slope

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A: The given function is, i) f(x)=22(x-3)+2ii) h(x)=-122x+2-2iii) g(x)=12-x+1-2iv) k(x)=-2x-3+2

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A:

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A: This is a problem related to derivative of the function. Please follow the procedure given below.

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A:

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Q: Sketch a graph of the function f(æ) = – sin(x). -T/4 T/4 /2 3n/4 5t/4 3n/2 元 7/4 -1

A: Given: A function, fx=-sinx. -sinπ4 -32 -sin0 0 -sinπ2 -1 -sinπ 0 -sin3π2 1 -sin2π 0…

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A:

Q: Sketch a graph of the function f(x) = sin(x). -7/4 1/4 1/2 3n/4 57/4 37/2 77/4

A:

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A: All the answers are given below

Q: What is the mid-line of the following function? f (x) = COS (3x − 1) + 4 3 1/3 4 -1

A:

Q: If f(x) =2x2 - x3 , find f'(x) , f" (x), f"'(x) , and  f(4) x.Graph f , f' , f" , and f"' on a…

A: Given: f(x)=2x2-x3Differentiating f with respect to x  ⇒…

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A: Simplify f''(x):f''(x)=2x2-3x

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A:

Q: ++ 1 7. The function y = f(x) is shown in the graph above. What is f(S(-2)) ?

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Q: 1. Sketch the reciprocal of the function f (x) = x - 6.

A:

Q: Sketch a graph of the function f(x) 1.5 sin(2x). | 4 -7/8 -3714 -5/8 -12 -3718 -14 -/8 T18 Td4 3/8…

A:

Q: 2. The domain of the function y = 2159 / (k+1 - x^2)^(0.5) where k e R and k > -1, is:

A: The given function is: y=2159k+1-x20.5 ;       where k∈R   and  k&gt;-1

Q: Let f(x)= 1/(3x+2) find the values below 1) f(x+h)= 2) (f(x+h)-f(x))= 3) lim h→0 (f(x+h)−f(x))/h 4)…

A: Let f(x)= 1 / (3x+2)Part 1)f(x+h) = 1 / [3(x + h) + 2] = 1 / (3x + 3h + 2)

Q: Answer the following questions for the function k(x) = x³ + x + 1: (a) The derivative at x = - is…

A: The given function is kx=x3+x+1