Suppose that the function fis defined, for all real numbers, as follows. -x+2 if x<1 f (x)= 5х-2 if x>1 Graph the function f. Then determine whether or not the function is continuous. Is the function continuous? 10- O Yes O No 8- 9: 4- 2- -IQ. -8 -4 -2 .6 .8 10 -2- 4- -8- 나0-

Q: . If the point (3, 4)is on the graph of the function f, then the point (--) is on the graph of f-1.

A: If (h,k) lies on f(x), then (k,h) lies on y=f^-1(x)

Q: 1-Proof-that-this-function-is-analytic

A: According to guidelines we solve only one question. Please repost remaining questions to get answer.…

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A: We have to find the domain of the function: fx=17-x We know for any square root function y=fx it…

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

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

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Q: Identify the open intervals on which the function is decreasing. (Enter your answers using interval…

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Q: Consider the following graph: 10 Check the line if the function is continuous on the given interval.…

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Q: Discuss the continuity of the function on the closed interval.                              g(x) =…

A: We can not have a negative value under the square root.  So,

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A: Given that,f(x)=12x+4-5 x f(x) Points=(x,f(x)) -4 -0.2 A=(-4,-0.2) -1 1 B=(-1,1) 0 0.3333…

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A: f(-2) = -4

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Q: Prove that a function of the form:is an even function.

A: The given function is  y=a2nx2n+a2n-2x2n-2+...+a2x2+a0

Q: 1-→Proof-that-this-function-is-analytic

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A: The graph of fx=x-x is as follows:

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A: f(x)=2x3-3x2+10

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Q: Which of the choices best represent the function end behavior? select all that apply.  1. As x- > -…

A: From the above graph we can take the following observations: When the value of x is negative(we can…

Q: Consider the function f(x)=4-5x2 on the interval [-1,8]

A:

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A: Answer

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Q: 4. If the point (3, -5) is on the graph of a one-to-one function f, what point must be on the graph…

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Q: Suppose that (picture) If f is  continuous for all real numbers, then c is equal to:

A:

Q: List the intervals on which f is decreasing

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Q: Suppose uiat the function g is defined as follows. -1 if - 3 <x<-2 if -2<x<-1 8 (x) = 1 if -1<x<0 2…

A: Given that: g(x) = -1     -3≤x&lt;-20          -2≤x&lt;-11        -1≤x&lt;02       0≤x&lt;1 To Plot:…

Q: Suppose that the function fis defined for all real numbers as follows. x+10 if -4 <x<4 f(x) = -5-x…

A: We make a table for each piece x -4 -2 0 2 4 y -6 6 10 6 -6 x 4 5 6 y -9 -10 -11

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Q: Prove that all functions can be written as a sum of an even function and an odd function

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Q: mod can be applied if the function is continuous only.

A: We have to check whether the Fibonacci method is applied if the function is continuous only.

Q: From the graph of f, indicate the intervals on which f is continuous. 2 4 -8

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A: According to question f is a function with domain [a, b]  And f is an odd function.

Q: if x 2 a а. Determine all possible values of a and b that make f continuous everywhere.

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Q: prove two Function invezse each other fk)= (x-2)

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Q: 9 Determine the domain of the function f(x) 5 - Domain (in interval notation):

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Q: From the graph of f, indicate the intervals on which f is continuous. 6+ 2+ -6 -2 -2+ 4+ O (-00, 2]…

A: Your second option is correct ...at x=2 graph is discontinuous so in the interval x=2 is…

Q: DISCUSS THE CONTINUITY OF THE FUNCTION ON THE CLOSED INTERVAL

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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: 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: Suppose that the function h is defined as follows. if -1<xs0 if 0 <xS1 1 h(x) = if 1<xs2 3. if 2<xS3…

A: It is given that the function is defined as hx=0 if -1&lt;x≤01 if   0&lt;x≤12 if    1&lt;x≤23 if…

Q: 8. Determine the domain of the function and express in interval notation Ax)

A: