Suppose that the function f is defined, for all real numbers, as follows. if x+ 2 f (x) = < if x = 2 Find f (-2),f (2), andf(4).

Q: Suppose that the function h is defined, for all real numbers, as follows. if x+0 1 if x=0 Graph the…

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Q: Suppose that the function f is defined, for all real numbers, as follows. if x<-2 f(x) =< - (x-1)²+2…

A: The given data in the question is -                                                 f(x) = 3 if…

Q: Suppose that the function f is defined, for all real numbers, as follows. 3x-1 if x<-1 f (x) =- -x+1…

A: Given: The Piece wise function f(x)=-3x-1If x&lt;-1-x+1If x≥-1 To find: Graph the given piece wise…

Q: Given that f(x) =x-1 and g(x)=x-x, find (f+ g)(6), if it exists.

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Q: Suppose that the function h is defined, for all real numbers, as follows. h(x) = - 1 -5 if x = -2 h…

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Q: Suppose that the function f is defined, for all real numbers, as follows. -x+2 if x≤1 f(x) =1 Graph…

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Q: Suppose that the function g is defined, for all real numbers, as follows. --x²+5 if x + 1 g (x) -3…

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Q: Suppose that the function f is defined, for all real numbers, as follows. -5x+3 if xs2 Graph the…

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Q: Suppose that the function f is defined, for all real numbers, as follows. 1 1 if x2 Find f(1), f(2),…

A: f(x) = (−1/4)x − 1 if x≤ −2       = -(x+1)² +3    if −1&lt;x≤2       = −2                 if x&gt;2

Q: Suppose that the function f is defined, for all real numbers, as follows. 3x+1 if x<-2 f(x) = x-3 if…

A: Given: The graph of the above function is the following. From the above graph, it can be observed…

Q: Suppose that the function f is defined, for all real numbers, as follows. -x+4 if x<1 f(x) = 2x+1 if…

A: Given: fx=-x+4 ; x&lt;12x+1 ; x≥1   The graph of piecewise function shown as below.

Q: Let the function f be defined by -5x +4 for x 2 f (x) = { x2 +3 %3D - 1 Evaluate f(-1) + f(3)

A: fx=-5x+4for x&lt;-1x2+3      for -1≤x≤21x≥2

Q: Suppose that the function h is defined, for all real numbers, as follows. -5 if x#0 h(x) = 3 if x=0…

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Q: Suppose that the function fis defined, for all real numbers, as follows. 0. if x-1 Graph the…

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Q: Prove that f(x) = (x – 1)2 + (x + 1)? is an even function. A function k(x) is an even function if…

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Q: Suppose that the function f is defined, for all real numbers, as follows. X+1 if x2 Find f(-4),…

A: Find the attachment

Q: If f(x) = |x − 1| + |x + 3|, then discuss the continuity and differentiability of the function at x…

A: Consider the given function fx=x-1+x+3 First, check the continuity of the function at x=1 Since a…

Q: Let f(x) = 3x – 1 and g(x) = 4 - x. Find all values of x for which f(x) < -1 or g(x) < -2.

A: Consider the function f(x)=3x-1 and g(x)=4-x. To find all values of x for which f(x)&lt;-1 or…

Q: Suppose that the function fis defined for all real numbers as follows. 1+x if x1 Graph the function…

A: Given function : for x &lt; 1 it is equation of parabola  with vertex ( 0 , 1 )

Q: Suppose that the function f is defined, for all real numbers, as follows. 4 if x2 Find f (-2),…

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Q: Suppose that the function fis defined, for all real numbers, as follows. 4 if x 0 f(x)= -1 if x=0 }…

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Q: Let the function f be defined by 3x - 3, for a 3 Evaluate f(-1) + f(4)

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Q: If a function f,whose domain is all real numbers,is even and if 4 is a zero of f,then…

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Q: Suppose that the function f is defined, for all real numbers, as follows. -x+2 if x1 Graph the…

A: Follow the next step

Q: Determine whether the intermediate value theorem guarantees that the function has a zero on the…

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Q: Let f(x) = 1 - (x + 3) + 2x. Find all values of x for which f(x) is at least 4.

A: Given that, fx=1-x+3+2x Need to evaluate the values of x for which f(x) at least 4 that is fx≥4

Q: Suppose that the function fis defined, for all real numbers, as follows. 1 -2 4 if x1 Find f(-4),…

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Q: Suppose that the function f is defined, for all real numbers, as follows. -1 if x#1 f(x) = < 1 if x=…

A: Given, f(x)=-1  if x≠11     if  x=1

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

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Q: Given that f(x) =x+4 and g(x)=x-x, find (f+ g)(-4), if it exists.

A: Given functions - f(x) = x+4g(x) = x2-xLet's first find out (f+g)(x),(f+g)(x) = f(x)+g(x)(f+g)(x) =…

Q: Suppose that the function g is defined, for all real numbers, as follows. if x+ -1 g (x) = - 1 if x…

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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: Suppose that the function f is defined, for all real numbers, as follows. if x<-2 f(x) =< -(x-1)-+2…

A: Choose the function according to the interval

Q: Suppose that the function f is defined, for all real numbers, as follows. x-3 if x- 2 Graph the…

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Q: Suppose that the function h is defined, for all real numbers, as follows. if x-1 Graph the function…

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Q: Suppose that the function f is defined, for all real numbers, as follows. 1 if x 1 Find f(-2),…

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Q: Suppose that the function f is defined, for all real numbers, as follows. if x<-1 f(x) = -(x+1) if…

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Q: Suppose that the function f is defined, for all real numbers, as follows. 3x +1 if x< -2 f(x) =• x-3…

A: The given function is: f(x)=3x+1      if  x&lt;-2x-3if  x≥-2

Q: Suppose that the function f is defined, for all real numbers, as follows. x+1 if x<-1 S) = -(x+1…

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Q: Suppose that the function f is defined, for all real numbers, as follows. 0. if x-1

A: The given function is  To graph it

Q: determine whether the intermediate value theorem guarantees that the function has a zero on the…

A: To determine whether the function f(x)=x^3-8x^2+14x+9 has zero in the provided interval, [1,2], by…

Q: Suppose that the function fis defined, for all real numbers, as follows. x-4 if x<2 f(x) = -2x+2 if…

A:

Q: if x2

A: Given that, The function is define following, f(x)=4if x≤-1(x+1)2-2if -1&lt;x≤2-12x-1if x&gt;2 We…

Q: Suppose that the function g is defined, for all real numbers, as follows- 4 if x<-2 g (x) = {…

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Q: Suppose that the function g is defined, for all real numbers, as follows. -1 if x1 Graph the…

A: Graph the function g(x) given by            gx=-1   if x&lt;10      if x=1-3   if x&gt;1

Q: Suppose that the function fis defined, for all real numbers, as follows. x-2 if x < -2 f(x) = 3x+2…

A:

Q: Suppose that the function f is defined, for all real numbers, as follows. -3x-1 if x<-1 f(x) = {…

A: fx=-3x-1   if x&lt;-1-x-1     if x≥-1

Q: Suppose that the function f is defined, for all real numbers, as follows. 1 4 if x 1 f(x) = < - 2 if…

A: Here definition of a function is given and the function is defined for all real numbers. We have to…

Q: If  f(x)=x+4 and h(x)=4x-1, find a function g such that gof=h.

A: Let, Given that,

Q: Suppose that the function f is defined, for all real numbers, as follows. 1 if x 2

A: