Suppose that the function h is defined, for all real numbers, as follows. 1if x#-1 h (x) = - 2 if x -1 Find h (-5), h(-1), and h (3). h(-s) = D 믐 %3D A(-1) = 0 A (3) = 0 %3D

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: Evaluate the piecewise function at the given values of the independent variable. x2 - 25 if x 5 h(x)…

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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: Suppose that the function f is defined, for all real numbers, as follows. 7x-1 if x 2 f(x)=- -2 if…

A: Consider a function f defined for all real values, such that: fx=34x-1if x≠2-2if x=2

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. -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 h is defined, for all real numbers, as follows. -2 ifx -2 h (x) = - %3D -2…

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Q: Let f(x) = x -9, g(x) = /x + 9, and h(x) = 6x² - 9. Find the rule for the function. %3! gh f

A: Since, f(x)=x-9, g(x)=x+9 and h(x)=6x3-9.Our Aim is to find the rule for the function ghg-f.

Q: Consider the function: h(x) = 5 for x ≤ -4  2x+ 6 for -4<x<2 5- x2 for x ≥ 2 A. h(−5) (B.) h(−4)…

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Q: Suppose that the function g is defined on the interval -2, 2) as follows. -2 if-2<x<-1 -1 if -1<x<0…

A: Suppose that the function g is defined on the interval [-2, 2). Now we have to find the values of g…

Q: Suppose that f(x) is a differentiable function such that f'(4)=5 and f(4)=4. If g(x)=xf(x), then…

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Q: Show that the function f(x) = 2(x^3)-4(x^2)+5x-4 has a zero between x = 1 and x = 2.

A: Please refer to the image below

Q: Find the point(s) of discontinuity of the following functions. x2+3 1. x2-16 x²-3x 2. x3+2x2+5x…

A: The rational polynomial y=f(x)g(x)is continuous for all real x except such x where g(x) = 0. (1) The…

Q: Suppose that the function g is defined on the interval -2 if-2<x <-1 -1 if -1<x<0 g (x) = < 0. if 0…

A: Given: g(x)=-2if -2≤x&lt;-1-1if -1≤x&lt;00if  0≤x&lt;11if 1 ≤x&lt;2 To determine:…

Q: Suppose that f(x) is a differentiable function such that f(4)-5 and f(4)=4. If g(x)=2xf(x), then…

A: Given f(x) is differentiable function such that f'(4)=5 and f(4)=4. Differentiating with respect to…

Q: The graph of function f(x) = x³ – 6x² + 9x + 1 is - concave upward on O (-∞0, 2) O (-∞, ∞0) O (2,…

A: The given function is: f(x)=x3-6x2+9x+1

Q: Let f(x)=2x-1, g(x)=6x-3 and h(x)=4x^2-4x+1, and find the following (f/g)(-2)=

A: Given f(x)=2x-1, g(x)=6x-3, h(x)=4x2-4x+1

Q: Consider the functions f(x) = y3x - 4 and g(x) Vx2 - 16. Find the domain of f(x) and g(x) in…

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Q: Suppose that the function h is defined on the interval (-2, 2 as follows. (-1 if -2<rs-1 if –1 <x<0…

A: Solve the function

Q: Suppose that the function f is defined on the interval (-2.5 2 if-2.5 <x<-1.5 1if-1.5 <x<-0.5 f(x) =…

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Q: Suppose that f'(x) = (x + 2)(x + 1)'(x – 1) (x- 4). %3D Which of the following statements about the…

A: We will use concept of minima and maxima to solve this problem.

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. 1 if x 1 Find f(-2),…

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

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Q: Suppose that the function h is defined on the interval-2, 2) as follows. -2 if-2<x<-1 -1 if-1<x<0 h…

A: Given:     To determine: h(-2), h(-1.5), h(1)

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

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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: Suppose that the function h is defined, for all real numbers, as follows. --x+5 if x #1 h(x)= 31 -3…

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Q: Suppose that the function h is defined, for all real numbers, as follows. --x²+5 if x # -1 h(x)=< 4…

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Q: Given g(x)=√x+6, 0 (-00, -6) O(-00, 6) Ⓒ (-6,00) O (6,00) on what interval is the function negative?

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Q: Evaluate the function for the given values of x. -4x+6 for x <-1 h(x) = ²+3 for -1<x< 4 for x24 Part…

A: To evaluate the functional value of x:

Q: For the function defined here, find f(0), f(2), and f(4) by using the graph belc f(x) = { x2 - 1 if…

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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: 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 f(x) is a differentiable function such that f(3)= 8 and f'(3)=2. If g(x)=xf(x), then…

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Q: Suppose that the function g is defined, for all real numbers, as follows. 1 if x 2 Find g (0), g…

A: We have to find: g0g2g5 Where function g is defines as: gx=12x-1   if x&lt;-2x+12-3   if -2≤x≤23…

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

A: Given function is: hx=14x-2if x≠-2-2if x=-2 To find: h-5, h-2 and h0. Solution: If x=-5 then…

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

A: a) For f(1),  f(x) = -(x+1)2 +2  f(1) = -(1+1)2 +2         = -4 +2          = -2  So, f(1) = -2

Q: f(x) = x2 + 3x - 7 and g(x) = 2x - 1 1. If f(x) = g(x), find the value of c. 2. Suppose that f(x)…

A: i have provided solution in step2.

Q: - Use the graph of the functionf to find all the values of x such that f(x)=2 %3D 本y 10- 8- 6- f(x)…

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Q: Given that a function, h, has a domain of -3 sxs11 and a range of 1shx)s25 and that h(8) = 19 and…

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Q: Suppose that the function f is defined, for all real numbers, as follows. 4x+3 if x-2

A: Given piecewise -defined function fx=4x+3     if x≤-2x-2       if  x&gt;-2

Q: The function h (x) 22 -5x+4 at-1 has a removable discontinuity. To make it continuous at all real…

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Q: Let h(x)=f(x)g(x). If f(x)=x^2+4x−1,g(−2)=3, and g′(−2)=−5, what is h′(−2)?

A: We have to find function

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

A: Determine the interval in which the number belongs and substitute the number in the particular…

Q: Suppose that the function f is defined as follows. -2 if -3.5<xs-2.5 -1 if-2.5<xs-1.5 f(x) =(0 if…

A: Given function is, f(x)=-2  ;-3.5&lt;x≤-2.5-1  ;-2.5&lt;x≤-1.50     ;-1.5&lt;x&lt;-0.51…

Q: The graph of function f(x) = x³ – 6x² + 9x + 1 is concave downward on O (-∞, 2) O (-∞, ∞) O (2, c0)…

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