The function g is defined by the following rule. -()- IN g (x): %3D 6. Find g(x) for each x-value in the table. IN -2 ca - 1 ja 1 IN bo

Q: Draw the graph of f(x) and discuss its differentiability at x = 1

A: It is given that fx=x2x≤1xx>1. Recall the fact that formula for derivative of a function f at a…

Q: Given the function h (x) = -v2 – x, what is h (x)?

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Q: Show that the production function f (x) = - () x3 + 10x? + 5x, -∞< x< ∞ has both a concave and…

A: Find your answer below

Q: Analyze the graph of f (x) = ln(x2 + 2x + 3).

A: The given function is f(x)=lnx2+2x+3

Q: (d) Find all x for which f(x) =-4. Value(s) of x for which f (x) = -4: %3D

A:

Q: The domain of the constant function g (x) = k is ________, and its range is _______ .

A:

Q: A square root function is given below. h(x) = --3 - Which function opens in the same direction and…

A: Given : h(x) = -12x - 3 - 2   To find the function.

Q: Determine the degree of the following functions and their leading coefficients, and use this info to…

A: Consider the polynomial: gx=-4x52x-53-x+17=-4x52x3-32x2· 5+3· 2x·…

Q: Find the value for k so that the function will be continuous at x = 3. - 10x? – 10x + 120 - 1 if x <…

A: The given function,  f(x)=-10x2-10x+120x-3-1if x&lt;3-7x2-70x-175+kif x≥3

Q: Find g'(x) for the given function. g(x) = /15x

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Q: The graph of f(x) = is (increasing/decreasing) over its domain.

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Q: 1 g(x) = /3 — х

A:

Q: The domain of the function fal= ln (6-5x-x²) is

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Q: ) Find (f-g)(x) for the given functions. f(x)=3x²-x+5 and g(x) = 5x²-3

A:

Q: 2. Given the function -a Show that

A: Note :-  Since you have asked multiple question As per our policy, we will solve the first question…

Q: 12. Is the function f(x) even, odd, or neither? 2x + 1

A: Given function is: fx=x22x+1 We know that a function f(x) is said to be an even function of x if…

Q: For which of the following decreasing functions f does (F')'(10) = - ? 8. A f(x) = –5x + 15 В f(x) =…

A: Consider the provided question, Given, f-1'10=-18 We know that,f-1'fx=1f'x    ......(I)Compare (I)…

Q: Find the value of k that will make the function f(x) continuous. -x2+8, if x+ 3 f (x) =, k, if x=3

A: topic - limits and continuity

Q: 3) Find domain of the following functions х+4 a) f (x) = х2+2х-8

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Q: Does y = e9-x* – 2 exist? What is the domain & range of the function if it does exist?

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Q: 4. What is the domain and range of the parent function, and what is the domain and range of f (x)?…

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Q: The range of the function f (x) = 2+ V9 – x² is [2, 5] O [0,3] О -3, 3] O [-1,2] O [-3,0]

A: Explanation of the answer is as follows

Q: A function f(x) is given as follows: 2x +1 f(x) = 3x - 1 f-(1) =?

A:

Q: 5. Consider the function (x2 + y²)e-¯-. Provide the number of maxima of f(x, y). In case there is no…

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Q: 1. Is the function f(x)= x³ + x−1 even, odd, or neither?

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Q: In the given question, , use a graphing utility to graph the function and find the x-values at which…

A: Consider the function  f(x) = x2/5

Q: the

A: We will find the local minima, maxima, and inflection points.

Q: Select the graph of the function. f(x) = In(x+9)

A: Given function, f(x) = ln(x+9) To be found : correct graph of function

Q: #2. Determine the equation for piecewise function f(x) given its graph below. -9-8-7-6-5-4-3 f(x) 5…

A: Given data:-

Q: Find a formula for a function that f(x) =

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Q: | the area of the region enclosed between f(x) x² + 3x + 20 and g(x) = 2x² + 2x. te: The graph above…

A: Please refer to the image below

Q: The function S (2) = x over the domain (0, 00) is shown. 10

A: Inverse function is find by switching x into y and y into x , then solve for y .

Q: If f is a function such that f(2) = 5 and f'(x) ≥ 3 for all x, what are the possible values of f(7)?

A: The given condition for the function is:

Q: Consider the following function: f(x)=x^3+2x^2-8x-3 b. Find the extreme values ​​of f.

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Q: Given the functions defined by f(x) = 3x² – 2 and g(x) = x² – 2, calculate the following: (f •…

A: Ans:Given,fx=3x2-2 and gx=x2-2we have to find fog-2

Q: Find the slope of the graph of the function at the given point.                        f(x) = 27/x3…

A: Given: fx=27x3Point3,1

Q: The function h is defined by h(x) = x^2 +2. find h(5z)

A: Given h(x)=x2+2

Q: Find the domain of the function 1 f (x) = - 1

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Q: A function has a zero at X = 8, indicating what?

A: Given, A function has a zero at X=8

Q: Given the piecewise function below, find the value of which makes the function continuous. -I f(x):…

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Q: Find the domain of the given function.

A: The given function is defined when 0≤x≤1 and x≠0,x≠1.

Q: Is the function of k(x)= 9^x/7*7^x exponential? If so, write the function in form k(x)=ab^x

A: Consider  the function

Q: In(3x) Find the function f(x), such that f'(x)= f(1)=1.

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Q: Given the piecewise function below, find the value of k which makes the function continuous. f(x) =…

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Q: Q4) Find the local and absolute extreme values of the function on the given interval. 1. f(x) - x' -…

A: As per our guidelines we are supposed to answer only one question at a time. So submit the other…

Q: . Find f(x), knowing that f (x)=10-0.5x +3x and that the graph of f(x) passes through the point…

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Q: For a function g(x), g"(3)=-8 indicates that g(x) is at x=3. concave up decreasing increasing…

A: Please see the explanation below

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.