Find the constants a and b such that the function is continuous on the entire real 5, ax+b, 5, I< -2 -2< x < 3 f(x) = a 3= b = Submit Ans

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A: The name of three functions that are continuous at every real number:

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Q: 1. Evaluate ³132² - 12| dr. 2. Given F(x) = sinh 3r 2 √3+t dt. Find F'(0).

A: as per company guidelines  we can solve only first question  when multiple questions being posted.

Q: The third interval of the following function xe* - 1, which between 0 and 1 is [2,3]. True False

A:

Q: Show that /I +x 0.

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A: Find f(x) is even, odd, or neither.

Q: Determine for what x values the function f(x)=x^2-3x+2/x^2-1 is discontinuous

A: Function is discontinuous at that point where denominator of the function  not define

Q: Find the value(s) of a and b for which f is continuous at -2: 3x³ - 7x² + 7 if x -2 f(x)

A: To find the values of a and b for which f is continuous at -2.fx=3x3-7x2+7 if x&lt;-2a+b if…

Q: * The product of two odd functions are even True False

A:

Q: Determine which of the following functions are valid PSDS (i) w6 + 302 +3 (i) exp[- (0 – 1)2]

A:

Q: Show that the equation 5 = x has at least one real root. You %3D may assume that the functions 5 and…

A:

Q: x+1 Is the function f(x) - X2 *Xく2 ;ン2 x >2 2X-1 continuous at x= 2? Why or why not? Show solution.

A:

Q: find the intervals where the function is BOTH decreasing and concave up. f(x) = (x^3) - (7x^2)-5x+9

A:

Q: Explain how to determine whether a function is continuous at a number.

A: Given: Condition of whether a function is continuous at a number

Q: x -1 f (x): x² +3x %3D

A: If two functions f,g are continuous then the function f+g,f-g,fg are also continuous. The function…

Q: f (x) = x + 2x³ – x² – 2 %3D

A: Given: Determine if the given function is continuous at every real number f(x)=x4+2x3-x2-2

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A:

Q: what valu e shouled be assigneed to a to make the function fex)= %3D 2ax

A: For the function to be continuous, the necessary condition is LHL=RHL=f(3) Here,  LHL=limx→3-f(x)…

Q: Consider the function f(x)=x/x^2+12x+32. Determine the intervals on which f is increasing and…

A: We have to determine the intervals at which the function  is increasing or decreasing.