Consider the piecewise function if x<-1 f (x) = 2.x2 if -1 2 .2 x-4

Q: 3. If f(x) = x + 1, find f(3) and f(- 3). Is f a one-to-one function?

A: The given function is fx=x2+1

Q: Evaluate the piecewise defined function at the indicated values. 5x if x 3 f(-5) = f(-1) f(2) f(3)…

A: solution:-f(x)=5x            if x&lt;-1x+5        if -1≤x≤3(x-3)2     if…

Q: find the value of k that will make the function continuous. f(x)= { 2        ,if x <-4         { -x…

A: To Find: Value of k which will make function continuous

Q: Determine the end (long run) behavior for the function below:   f(x)=x^4−3x^3+x−1

A: Solution ) f(x) = x4 - 3x3 + x - 1  We only see Degree of polynomial = 4 ( even )  Leading…

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: Are f(x) = and g(x) = 2x + 3 the same function? Do f(x) = 2x² +3x and g(x) = 2x + 3 have the same…

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Q: Consider the function f (x) = x³ – 3x² – 9x + 4 At what interval is the function increasing?

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Q: Evaluate the piecewise function at the given values of the independent variable. 4x +3 if x< 0 f(x)…

A: Given piecewise function is  fx=4x+3       if x&lt;03x+6       if x≥0

Q: Use the graph of the given function f(x) to find x such that f(x) = - 3. 2- ->

A: f(x) implies y in a cartesian plane so the value of y is the value of f(x)

Q: 3

A: Given that: The length of the function isfx=251-2x Substitute the value x=3 in the given function,…

Q: Find the domain and sketch the graph of the function.

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Q: Consider the piecewise function if x 2 x² - 4

A: The function is said to be continuous at x=a If, limx→a-f(x)=limx→a+f(x)=f(a) The given function is…

Q: Consider the function f(t) = = -X 3-x (x − 3)² - if x 3

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Q: For the function f defined by f(x) = x2 - 4x + 1, find: f(-x)

A: Here given as fx=x2-4x+1

Q: Evaluate the piecewise function at the given values of the independent variable. 2x + 3 if x<0 f(x)…

A: Given : fx = 2x+3   if x&lt;02x+7  if x≥0

Q: Consider the function: f (x) = 3 |x|+x2 – 1 Find f(-2) exactly

A: Given:- f(x) = 3|x|+x2-1 To find:- f(-2)

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

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Q: Consider the piecewise function 2 if x 2 x -4

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Q: Find the most general function F such that F'(x) – 14. x5 || - F(x) = Σ

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Q: Find the intervals on which the function f(x) = x² - 6x + 10 is increasing and decreasing.

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Q: Evaluate the piecewise function at the given value of the independent variable f(x) = 3x + 4 -4x+3…

A: NOTE: Refresh your page if you can't see any equations. . the given piecewise function is

Q: Find the domain and sketch the graph of the function.

A: fx=x+2    if x≤-1x2        if x&gt;-1 The domain of given function is the set of all real numbers.

Q: For the one-to-one function f(x) 2x+3/x-1, show f^-1(x) x+3/x-2

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Q: Find f(5) and f (x² + 3) for the function f(x) = -x + 2 %3D

A: Given,           f(x) = -x + 2

Q: f(x) = x³ – 3 %3D

A:

Q: Find the intervals on which the function f(x)=x3+1x3 is strictly decreasing.

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Q: Find the length of the function f(x)=25-(1/2)x from x=3, and x=6 Length=

A: given f(x)=y=25-x2diffrentiatedydx=-12

Q: Find the point(s) of discontinuity of the piece-wise function f given by f(x) = |x| +3 if xs-3; -2x…

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Q: Use the piecewise-defined function to find the following values for f(x). 4- 5x if xs1 3x if 1 < x <…

A: For finding f(-1) check the intervals that in which interval x = -1 is there and select that piece…

Q: Determine the value of x of the discontinuous function: х — 1 f (x) 3D {3х — 3 (-4x + 3 x 3 -

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Q: Evaluate the piecewise function at the given value of the independent variable. 13) f(x) = -3x-1…

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Q: find the domain of the function  f(x) = 1-2cosx / 1-2sinx

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Q: Find the function value. 1.If F(x)= x³-2x²-x+1, find F(2)and F(-2). 2.If F(x)= x²-3/x-1,find F(3)…

A: 1. Given function: Fx=x3-2x2-x+1 At x=2: Fx=x3-2x2-x+1F2=23-2×22-2+1F2=-1 At x=-2:…

Q: Evaluate the piecewise function at the given values of the independent variable. 2x +5 if x<0 f(x) =…

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Q: evaluate the function for the given value of x. f(x)=x2-4x, g(x)=4x-3, (f of g)(2)=?

A: In order to find (f of g)(2), first find the  (f of g)(x).

Q: A step-wise function is given below: f(«) = { * - x2 - 2x + 3, when x < 2 Vx 2, when x 2 2 What is…

A: See solution below.

Q: find the value of f(x) at x 10:

A: Given, x 9.3 9.6 10.2 10.4 10.8 f(x) 11.40 12.80 14.70 17.00 19.80 To find the value of f(x)…

Q: Evaluate the piecewise defined function at the indicated values. (4x f(x) : x + 2 if x 2 f(-5) =…

A: Real valued function.

Q: Determine the value of x of the discontinuous function: * х — 1 = {3x – 3 -4x + 3 x 3

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Q: Graph the piecewise-defined function. 4. f(x)=2x- 1, if x>1

A: Given function is : fx=x+5  , if x≤12x-1 , if x&gt;1 To draw the graph of given function.

Q: Evaluate the piecewise function at the given values of the independent 2x + 4 if x< 0 f(x) = 4x +6…

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Q: Find the domain of the function f(x) = √(x - 1) + √(x + 5)

A: Given function f(x) - f(x) = x-1 + x+5For a square root function to be defined, the value inside the…

Q: Evaluate the piecewise function at the given values of the independent variable. x2-4 if x#2 h(x) =…

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Q: Find f (x) for the function f(x) = х-2 ·In x+5

A: This question can be solved using the concept of inverse of function.

Q: ) Determine the Range of the function g(x) = x³ for the Domain: {-1,0,1}

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Q: For the function. f''(5) f(x)= x-1/x

A: f''(5)=-2/125 Explanation is given below

Q: Given the piecewise defined function: 2x - 2 if x 2

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Q: Evaluate the piecewise function at the given valuesof the independent variable. f(x) = { 5x+3 if x<…

A: Given piecewise function is  f(x) = { 5x+3 if x&lt; 0            { 4x+7 if x ≥ 0 We have to find…

Q: A function is defined as: (-1 for - 3<x< 0 %3D +1 for 0 < x < 3

A: Given, f(x)=-1    for  -3≤x&lt;0+1    for    0&lt;x≤3 Given function is a piecewise defined…

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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