Suppose that the function f is defined, for all real numbers, as follows. 3x +1 if x<-2 f(x) = • x-3 if x2 -2 Graph the function f. Then determine whether or not the function is continuous. Is the function continuous? 10- OYes -8- O NO -10 10.

Q: Graph the function with domain of all the real numbers: f(x) = 5 for x 2 3, and f(x) = -6 for 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: Find the domain of the following function. Express the domain in interval notation. g(x) = V4 – x -…

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Q: Suppose that the functionf is defined, for all real numbers, as follows. x-3 if x2 Graph the…

A: NOTE: Refresh your page if you can't see any equations. . the first line is  to graph the line, we…

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: Find all values of x such that f (x) &gt; 0 and all x such that f (x) &lt; 0, and sketch the graph…

A: Given function is: fx=x4-6x2+8 If f(x) &gt; 0 we have,…

Q: (b) Determine the discontinuities of the following functions and state why the function fails to be…

A: Given function is not defined at x=0

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

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

A: Given 4x+3      if x⩽-2x-2       if x&gt;-2 Our Aim To graph  the given function and to determine…

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

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

A: The given function,fx=-x+2if x≤15x-2if x&gt;1

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

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Q: - Determine algebraically whether the function is even, odd, or neither. a. f(x) =-2x*-x2 b. f(x) =…

A: Solving the problem by finding the function is even or odd.

Q: Suppose that the function f is defined, for all real numbers, as follows. x-3 if x2 Graph the…

A: Consider the given function: fx=x-3         If x≤2-5x+4   If x&gt;2 Graph the given function:

Q: Suppose that the function f is defined, for all real numbers, as follows. x-3 if x2 Graph the…

A: Given: fx=x-3 ; x≤2-5x+4 ; x&gt;2 As we know that the graph of the equation: y=mx +c is the straight…

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

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

A: Graph of the function

Q: Determine the values of x for which f(x) is continuous. Write the answer in interval notation. if x…

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Q: Write the domain of the function in interval notation f(x)= 3squareroot x-12

A: Important: The value 'in the root' is always positive.

Q: Suppose that the function h is defined, for all real numbers, as follows. -3 if x=0 h(x)=< -4 if x=0…

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Q: Suppose that the function f is defined, for all -2x +3 if x <2 f(x) = x-3 if x22 Graph the function…

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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: Topic:- function

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

A: We will make a table for the function: x -1 0 1 2 3 h(x) 0 0 2 -3 -3

Q: Find the domain of the function. 9. if x=2 f(x) = x2 if 1<x< 2 The domain is (Type your answer in…

A: Domain

Q: The graph of f(x)3-x-5x+6 has the point (-8, 2) on it. O True O False

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Q: Suppose the function f has a domain set of all real numbers. Given below is the graph of f(x). f'(x)…

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Q: Suppose a function f(x) has the following graph: 4 2- -4 -3 -2 -1 1 2. 3 4 -1- -2- -3- -4 Write a…

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Q: Determine the open intervals on which the function is increasing and on which the function is…

A: The given function is f(x)=x3+3x2-9x  differentiate with respect to x,

Q: 7. If f(x)=4x-3 and h(x) = 4x² -21, find a function g such that fog=h

A: The given functions are: fx=4x-3 and hx=4x2-21

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

A: First draw the graph of line; L1: y = 2x -1 when x &lt; 1. The slope of the line L1 is 2, which…

Q: (b) If f(x)= |x-1| is now restricted to the domain x ≥1, find f¹(x) and state its domain and range.

A: Given problem:- If fx=x-1 is now restricted to domain x≥1, find f-1x and state its domain and range

Q: 5. Use the graph of f(x) = x' - 2x and g(x) =x to answer the questions. (a) For what values of x is…

A: Given that, f(x)=x3-2x, g(x)=x For f(x)=g(x), we have, x3-2x=x⇒x3-3x=0⇒x(x2-3)=0 This gives x=0, ±3…

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

A: NOTE: Refresh your page if you can't see any equations. . to graph the line we need only two points…

Q: Find the intervals on which f is increasing and decreasing. fox) = 3x* - x² + 9

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Q: 4. Determine if the function is even, odd, or neither. g(x)= 2x – 5x+12

A: Given,           gx=2x3-5x+12To find : Determine if the function is even, odd, or neither.We know…

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

A: The graph will shown in next step

Q: Suppose that the function g is defined, for all real numbers, as follows. 5 if x# 0 g (x) = %3D -4…

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Q: Determine the open intervals on which the graph of the function is concave upward or concave…

A: Given: g(x) = 3x2 − x3

Q: The function f(x) = -(x+3)2 - 4 has a vertex of (-3, -4). %3D O True O False

A: Given that  f(x)=-(x+3)^2-4  Vertex is (-3,-4)

Q: Suppose f(x) has a zero at an x-value of 3. What would a zero of g(x) be if g(x) = -2f(3x + 1)? %3D

A: Given that f(x) has a zero at x = 3, it means f(3) = 0To find the zero of g(x), where g(x) = -2f(3x…

Q: if x-1 3. 3.

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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: 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 f is defined, for all real numbers, as follows. -5x+3 if xs2 f(x) = X-4 if…

A: Given that: f(x)=-5x+3 if x≤2x-4  if x&gt;2

Q: Suppose that the function/is defined, for all real numbers, as follows. 5x-4 if xS1 -r+4 if x>1…

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Q: Which pair of statements describes the end behavior of the graph of the function f(x)= x3 + 2x2²…

A: First draw the curve , it is a cubic curve for large values of positive x, f(x) will be very large.…

Q: The function f(x) = -(x + 3)² - 4 has a vertex of (-3, -4). O True O False

A: WE can find the answer is true or not as below.

Q: Suppose that the function g is defined, for all real numbers, as follows. 3 if x1 Graph the function…

A: gx=3,x&lt;12,x=1-3,x&gt;1

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

A: for -∞, 1;  f(x)=-1f(1)=-2for(1, ∞); y=2which can be drawn as a line y=-1approaching x=1 (from the…

Q: Find the intervals where the piecewise defined function is negative, and enter your answer in…

A: Consider the given graph. Observe that, from x=-5 to x=-4 and from x=1 to x=5, the graph of the…