Sketch the graph of the following piecewise function: -4 < -1 < x < 2 2x 3 2:x 1], -3 f (x) =3 r2-3, z> 3

Q: Sketch the graphs of the following function. f (x) = 4/3x3 - 2x2 + x

A: Sketch the graph of the following function. f (x) = 4/3x3 - 2x2 + x

Q: The graph below is the function f(x) 5+ 4 3 5 -4 -3 -2 -1 1 23 -2 -3 -4- -5+ lim f(x) = x →2 F(2) 2,

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Q: Suppose the point (0, b) is on the graph of f(x) = -x +1, then the value of b is

A: We have to find value of b.

Q: Evaluate the piecewise-defined function at the indicated values. x² if x 0 f(-2) f(0)

A: f(-2)=4 f(0)=1

Q: Find all points of intersection between the graphs of the functions f(x) = (x + 5)(x-4) and g(x) = x…

A: Explanation of the answer is as follows

Q: Use the given graph of the function to find the x-values for which f is not differentiable.

A: Using graph to find the x-values where function is not differentiable

Q: 10. Graph the piecewise-defined function. f(x) = { 4 2x 3 if x 0 |

A: here i am taking f(x) = y (which is obvious) first drawing graph of  y= 2x-3

Q: 8. Sketch the graph of the following piecewise-defined functions. (-2, if x 0 St² +4, if t -4 a)…

A: Given piecewise defined functions are: a) fx=-2, if x&lt;02, if x≥0 b) ft=t2+4, if x≤-44-t, if…

Q: 6) Sketch the graph of the following piecewise function. x 3 x – 4 h(x) = 7 x² – 1

A: Given ,  h(x) = x - 4 ; x &lt; -2 Then ,  h(-3) = -3 - 4 = -7 h(-4) = -4 - 4 = -8 And  h(x) = 7 ; -2…

Q: Graph the function. 2x + 1, if x 2 f(x) = and determine if this function is continuous.

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Q: Sketch the graph and determine the domain and range of the following piecewise-defined functions.…

A: “Since you have asked multiple questions in a single request, we will be answering only the 1st…

Q: List the x-values in the graph at which the function is not differentiable. -3

A: In this question with the help of graph theory we have to find the points where function is not…

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: S-2x + 1, x < 0 x2 – 1, x 2 0 1) f(x) =

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

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Q: Sketch the graphs of the following function y = 9/x + x + 1

A: Given: The function y=9x+x+1

Q: sketch the graphs and explain why the functions is discontinuous at the given number a:y= 1/x-1 if…

A: Given function isThe graph can be sketched by plotting few points and joining them using free hand…

Q: Sketch the graph of the following function 3x2 f(x) = x2 – 4 -

A: Given: f(x)=3x2x2-4

Q: Sketch the graphs of the following function. f (x) = 1 - 3x + 3x2 - x3

A: we have to sketch the graph of the function f (x) = 1 - 3x + 3x2 - x3

Q: The line x = c is a asymptote of the graph of a function f if f(x) approaches infinity or negative…

A: The line with equation of the form x=c is a vertical line and has slope undefined. An asymptote of a…

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

A: Function:                         f(x)=4xx-3

Q: f(x) = x* + 4x° + 3x +1

A: A curve f(x) is said to be concave upward if f''x&gt;0 and concave downward if f''x&lt;0. The given…

Q: Sketch the graphs of the functions. 7. f(x) = (x + 2) – 1

A: 7. We have to sketch the graph of fx=x+23-1. Steps: First we will draw the graph for x3. Now to draw…

Q: 8)If f(x)=x/(x-1)^2, f(x)=(x+1)/(x-1)^3 f"(x)=(2x+4)/(x-1)^4 Graph this function using all available…

A: Given function is: fx=xx-12 A function is sad to be undefined at a point where its denominator…

Q: (x(x+1), if x S-2 f (x) ={ 4x +5, if -2< x<1 - 2x +3, if x 2 1

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Q: 3x +2, if x <1 f (x) = 2x+3, if x 21

A:

Q: Find the value of k, if the constant k that makes the function continuous:

A: Given,          f(x)=x2+k2if x≤4kx+12if x&gt;4

Q: x² +2x+1, if x -2

A:

Q: 3. -2y = x + 4, 0 <x< 4

A: Given: The function is -2y=x+4. The interval for the function is 0&lt;x≤4

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: Consider the graph of the function f(x)= x^2-16/x^3-5x^2+4x Where is the removable discontinuity?…

A: The given function is fx=x2-16x3-5x2+4x. The removable discontinuity points are those points, where…

Q: Consider the function:-- f (x) = 1/2 x2   Sketch a possible graph of f' .

A: Given function is fx=12x2. To sketch a possible graph of f'. Solution: Differentiating the given…

Q: Sketch the graph of the following function and find any discontinuities x2 – 1 f(x) = x - 1

A: fx=x2-1x-1 Since the value of numerator and denominator is zero when x=1, therefore the graph must…

Q: Investigate the given function and graph it accurately. 1. y = x²-x+1 x-1 2. y = In - -1 x+5

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Q: Sketch the graph of the following piecewise function: -2x – 4, f(x) = } x² – 2, - 2 1 The function…

A: In this question we will use basic of calculus i.e concept of continuity. We will simply draw the…

Q: 11. Sketch the graph of the following function. f(x)= x³ - 6x² - 9x [1]x- and y-intercepts

A:

Q: Explain why the function h is discontinuous at a = -2. 1 x = -2 h(x) = x + 2 1 x = -2

A: As per the company's guidelines, we are supposed to solve first question for you, kindly repost…

Q: Graph the curve of the function F(x)= sgn([x]+1)

A: Providing a solution to given question assuming the symbol x denotes the floor function . The Floor…

Q: Sketch the graph of the piecewise-defined function. -4x, xs -3 16) f(x)= {-4 + Vx, -3 1

A: Given :                f(x) = -4x,  x ≤-3-4+x,  -3&lt;x≤1-x+3,  x&gt;1 For the first rule :…

Q: Sketch the graph of the following piecewise -defined function by plotting points: f(x) = {x +2x if x…

A: we have to draw by put some value of x and get f(x)

Q: List the points in the graph in the interval 1 <x<7 at which the function is not differentiable 18-

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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: f (x) = ! **5, if x3

A: To refer the given piece wise function.

Q: (3x, if x 0

A:

Q: Consider the graph of the function f(x) =x^2-9/x^3-2x^2-15x Where is the removable discontinuity?…

A: Given the function, f(x)=x2-9x3-2x2-15x    ⋯⋯(1) Rewriting equation (1),…

Q: Use the graph of the function f to decide whether the value of the given quantity exists. 3 -4 -2…

A: According to company policy we are allowed to provide solution for only first 3 sub parts. If you…

Q: If f (x) is the function whose graph is shown, on which interval is fincreasing? Use cursor to…

A: f(x) is the function whose graph is shown, on which interval is f increasing?

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: List the points in the graph in the interval -1<x<7 at which the function is not differentiable.

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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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