Let f be the function that determines the area of a circle (in square cm) that has a radius of r cm. That is, f(r) represents the area of a circle (in square cm) that has a radius of r cm. Use function notation to respond to each item below. To answer these questions, you do not need to know the area of a circle in terms of its radius r. All answers must include f. a. Represent the area (in square cm) of a circle that has a radius of 3.2 cm. Preview b. Represent how much a circle's area (in square cm) increases when the circle's radius increases from 10.1 to 10.11 cm. Preview c. Represent the total area of 6 circles that each have a radius of 12.2 cm. Preview d. A circle has a radius of 22 cm. A second circle has an area that is 55 square cm more than the first circle. Represent the area of the second circle. Preview Box 1: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c Be sure your variables match those in the question Box 2: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c Be sure your variables match those in the question Box 3: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c Be sure your variables match those in the question Box 4: Enter your answer as an expression. Example: 3x^2+1, x/5, (a+b)/c Be sure your variables match those in the question

Q: Find and simplify the following for the function. f (z) = 7VE f(a + h)- f(a) (h 0) %3D

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Q: Use the graph of f (x) = – below to find a number d such that |f (x) – 0.5| < 0.1 whenever 0 < |x –…

A: Here we can directly solve the question just by using some properties of a graph, changing the shape…

Q: Use the following table to answer the question: g     0       1       2      3 h    100    95…

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Q: Use the graphs of f and g to evaluate the function.

A: Given graphs of f and g are as shown below, From the graphs, g(0) = 1

Q: Let f : Z+ → Z be the function defined by n – 10 (F(f(n+11)) otherwise if n > 100 f(n) What is the…

A: We will find f(99)

Q: Use the definition of a one–to–one function to determine if the function is one–to–one. h (x) = x2 +…

A: Example for one to one function:

Q: Suppose f(x) is a function with f(145)=37 and f’(145)=5. Estimate f(144).

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Q: Evaluate the difference quotient for the given function f (a +h)-f(a) f(x)=x', h

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Q: Use the graph of f (x) = below to find a number ő such that |f (x) – 0.25| < 0.1l whenever 0 < |z –…

A: According to the given information it is required to find a number

Q: Suppose that f(x) is a function with f(140) = 25 and f' (140) = 2. Estimate f(142). f (142) =

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Q: Given the function f(x) = 5 + 2x², calculate the following. Make sure to fully simplify, expanding…

A: Given the function:

Q: Determine whether the statement " If f is a function, then f(ax, ay) = a2f(x, y)" ,is true or false.…

A: If f is a function, then f(ax, ay) = a2f(x, y).

Q: Use the graphs to evaluate the expressions below. f(x) g(x) 4 -1 4 5 6-1 4 5 f(9(4)) 9(f(0)) =…

A: The graph of the functions f(x) and g(x) are shown in figure Now to find given values.

Q: The graphs of the function F (left, in blue) and G (right, in red) are below. Let P(x)=F(x)G(x) and…

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Q: Use the following graph of a function f to determine y to the nearest integer for y = f(4). A f(x)…

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Q: The plot below represents the function f(x) 5+ 4 3- -5 -4 -3 -2-1 23 4 5 -2 -3 Evaluate f(3) f(3)…

A: From the graph, it is evident that, f(3) = - 1

Q: Write the function in the form f(x) = (x – k)q(x) + r _for the given value of k. f(x) = 20x3 – 29x -…

A: We can use synthetic division method In order to solve the given problem.

Q: Use the graph of f (z) = below to find a number ð such that |f (x) – 0.25| < 0.1 whenever 0 < |z –…

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Q: Determine the formula for the the function f below. p(x) 1 1 - 1 12 1 3 72 1 4 432 2.

A: when x=1 p(x)=12=3·16 when x=2 p(x)=112=3136=3162 when x=3 p(x)=172=31216=3163 when x=4…

Q: For Exercise, use the definition of a one-to-one function to determine if the function is…

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Q: Write the function in the form f(x) = (x - k)q(x) +r for the given value of k. f(x) = 10x3 - 27x2 -…

A: Answer

Q: Let h(x) Find the function given below. 7 h(5и — 7), и # Answer h(5и — 7) %3D.

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Q: Write the function in the form f(x)=(x-k)q(x)+r for the given k. Also demonstrate that f(k)=r

A: We first write f(x) using all the terms: f(x)=20x4+16x3-10x2+0x+19 Then we use the quotient rule to…

Q: Use the graph of f (x) = below to find a number ő such that |f (x) – 0.5| < 0.1 whenever 0 < |æ – 2|…

A: fx=1xTo find δ, such thatfx-0.5&lt;0.1  ,  whenever   0&lt; x-2 &lt; δ .…

Q: Refer to the function below, and find z when h (a) = 18. h (x) = 4x+2 %3D

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Q: The parent function f(x)= Vx is related to g. Use function notation to write g in terms of f. 1…

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Q: Consider the function f(x) below. Over what interval is the function concave down? Give your answer…

A: Consider the function: fx=4x3−6x2−x+10Differentiate w.r.t. "x",f'x=12x2−12x−1Again differentiate…

Q: Use the following graph of a function f to determine y to the nearest integer for y = f(4). A f(x)…

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Q: A company that manufactures skateboards uses the function below to estimate f(x), its monthly…

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Q: Suppose that f(x) is a function with f(85) = 76 and f'(85) = 1. Estimate f(84). %3D f(84) =

A: f(85) = 76 f'(85) = 1 f(84)  = ?

Q: Which of the following correspondences does NOT show a function? C. one-to-many D. none of the above…

A: Concept: Example of one to one function: Example of many to one function:

Q: Let f(x) be the following piecewise-defined function -x3 – 6, x 2 (a) Sketch the graph of f(x).…

A:

Q: Use the graph of f (x) = below to find a number & such that f (x) - 0.25 <0.1 whenever 0< r- 4< 8.…

A: Delta will be min of 4-A and B-4. See the explanation.

Q: Use the definition of a one–to–one function to determine if the function is one–to–one. P (x) = x2 -…

A: Given function is,

Q: (f + g)(x) = (g+ f)(x)

A: Given concept f+gx=g+fx

Q: Use the graphs of f and g to evaluate the functions:

A: 7.a f(1) = 2 g(1) = 3 (f -g)(1) = f(1) - g(1) = 2 - 3 = -1 Therefore (f -g )(1) = -1

Q: Use the graphs of f and g to evaluate the function. = g(x)

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Q: Pls help ASAP

A: We know (f - g)(x) = f(x) - g(x)

Q: The parent function f(x)=x³ is related to g. Use function notation to write g in terms of f. g(x)=…

A: Given two functions, f(x)=x3 &amp; g(x)=(x-1)3+1 We need to write g(x) in terms of f(x).

Q: Let fbe the function defined by f (x) = ta Ifg (x) = f (7) and g (2) 1, what is the value of g (2)?

A: We have to use f(1) = 2.

Q: Use the graph of f (x) = = below to find a number 8 such that | f (x) – 0.5| < 0.1 whenever 0 < |æ –…

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Q: Use the vertical line test to determine if y is a function of x in the graph. Which of the following…

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Q: Suppose that f(x) is a function with f(150)=49 and f′(150)=1. Estimate f(153).f(153)=

A: we have to approximate function f(x) at x=153 using linear approximation method,which is given by

Q: Given the following table of values for the function f(x), determine f(1). 3 7 9 11 12 f(x) -5 2 4 8…

A: Explanation of the answer is as follows

Q: Pls help

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Q: Use the graph of f (x) = = below to find a number & such that |f (x) – 0.25| < 0.1 whenever 0 < |æ –…

A: In this question we have graph and we have epsilon given which is 0.1 and we have to find delta.…

Q: suppose that f(x) is a function with f(150) = 49 and f '(150) = 3. estimate f(154). f(154) = ____

A: To solve the given problem use the following formula. f(x) = f(x0) + f '(x0) (x - x0)

Q: Use the graph of f (x) = = below to find a number ő such that |f (z) – 0.5| < 0.2 whenever 0 < |x –…

A: According to the given information, it is required to calculate the value of delta satisfying the…

Q: Find the domain of the following function. f(x) = V3x – 45 - Provide your answer below:

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Q: For Exercise, use the definition of a one-to-one function to determine if the function is…

A: Recall the definition of one to one function.