Suppose that the function f is defined, for all real numbers, as follows. -5x+3 if x<2 f(x): x-4 if x>2 Graph the function f. Then determine whether or not the function is continuous. Is the function continuous? O Yes O No ? 10

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, fx=x3-3x2-9x+27

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

A:

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

A: We can check the answer is true or false as below

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: Select all of the statements that are true for the function g (x)=-3f (x+4) – 2.

A:

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: Find the intervals on which f(x) = -2(x + 3.5)(x – 0.5)(x – 3) is positive by plotting a graph. f(x)…

A:

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

A:

Q: Determine the open intervals on which the function f(x) = √(x2 − 1) is increasing,decreasing, or…

A: f(x)=x2-1

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

A:

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. -x+2 if x 1 Graph the…

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

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: Consider the function f(x)=4x2+9 for x≤0. What is the domain of f−1(x)? answer in interval…

A:

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

A:

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: f(x)=9x-x3then f'(x)=9-3x2=0⇒3-x2=0⇒x2 =3⇒  x=±3

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

A:

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

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

A:

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

A:

Q: Find all values of x such that f(x) > 0& all x such that f(x)< 0, then sketch the graph of f(x) = x'…

A:

Q: Find f^-1 (x), if it exists, and graph both f(x) and f^-1 (x). f(x)= ((x+1)/(x))

A: Find f^-1 (x), if it exists, and graph both f(x) and f^-1 (x).  f(x)= ((x+1)/(x))

Q: Let f(x) = x2 + 3x  and g(x) = 3x2-1. Find the function    f . g    (F.g ) (x) =    Find the domain…

A:

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 multiplicity of each real zero of f(x) and use them to describe what happens at each…

A: Given problem:- Find the multiplicity of each real zero of f(x) and use them to describe what…

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

A: for the given function

Q: Is the function f (x) = x³ – 3 odd, even, or neither even nor odd? - Odd Even Neither even nor odd

A: A function f(x) is even if f(-x) = f(x) for all x ∈ R. A function f(x) is odd if f(-x) = -f(x) for…

Q: Find the absolute extremum, if any, for the following function. f(x) = 8x - 5

A:

Q: Let f(x)=x^3-3x^2-3x+9. For what values of x is f(x)=0? Draw a graph of f'(x).

A:

Q: A function f is ________ on an interval when, for any x1 and x2 in the interval, x1 &lt; x2 implies…

A: To fill: The blank of the statement. Given: The statement is "A function f is ________ on an…

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: Find the intervals on which f(x) = - (x+ 2)(x + 0.5)(x – 3.5) is positive by plotting a graph. f(x)…

A: follow next step

Q: For the functions f(x)= x - 8/4x - 1 and g (x)= 9/x+2, find f+g, f-g, f x g, and f/g. Simplify these…

A: Consider the given functions f(x) and g(x). Then find the mentioned operations and the domain for…

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

A:

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 h is defined, for all real numbers, as fe 3 x+1 ifx#2 h(x) =- if x=2 Find…

A:

Q: if f(x)=x/x+4 and g(x)=1/x, find f o g and its domain in interval notation.

A:

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…

A:

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

A: We have to draw the graph of f and determine whether f is continuous or not.

Q: if x-1 3. 3.

A:

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…

A:

Q: Let f(x) = x4 - 2x2.  Find the intervals on which f is increasing and decreasing, and give the…

A:

Q: Suppose that the function fis defined, for all real numbers, as follows. -x+3 if x<-1 -3x+1 if x2-1…

A: Given that: f(x)=-x+3 if x&lt;-1-3x+1 if x≥-1

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: 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: Here given function as fx=-19x3-3 Differentiate with respect to x f'x=ddx-19x3-3=-39x2=-13x2 Thus…

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…