Consider the piecewise function if x<-1 f (x) = 2.x2 if -1 2 .2 x-4

Q: if x 2 .2 x-4

A: We will choose the function according to limit.

Q: Show that the function f (x) = (2x2 + 3)3/2 is decreasing for x 6 0 and increasing for x 7 0.

A: Given: f(x)=(2x2+3)32

Q: The UofToys company has a factory that produces toy trucks and toy cars only. The total number of…

A: Given: A toy's company has a factory that produces toy trucks and toy cars. The total number of toys…

Q: Let 14 f(x) = (3x²-5) 5 (- 5x² +9) ¹4 f'(x) = > Next Question

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Q: Express the range of ƒ(x) = 2x² – 5x + 2 in interval notation.

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Q: if f(x-1)= x- 16x+3 It Find (x+)

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Q: Let f(x) = {2x-5 if x3

A: Find your answers below

Q: Is x^2 +x^5 an add function. Yes or no,?

A: I think there's a spelling mistake as you have written an add function which I think should be odd…

Q: Determine the domain of each function. x2 - 25 x² - 4 79. f(x) 80. f(x) x - 5 x + 2 x3 x* + 7 81.…

A: To find the domain: f(x)=x2-25x-5. Solution: We know, a rational function is defined for all real…

Q: Find the range of the function f(x) = 1/3x-5, if the domain is { -3, 0, 6}

A: f(x)=13x-5Domain is -3,0,6substitute x=-3f(-3)=13(-3)-5=1-9-5=-114

Q: The UofToys company has a factory that produces toy trucks and toy cars only. The total umber of…

A: Given: A toy company has a factory that produces toy trucks and toy cars. The total number of toys…

Q: Find the smallest value of the function f(x) = x³-3x² - 9x + 5 on the domain −4 ≤ x ≤ 4.

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Q: graph the following functions  f(x)=3x-1    if x\le 0        -2x+1   if x\gt 0

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Q: for which value of 'a' the function 5x3 – 625, x5

A: As  we know that; If the function is continuous at x=a then;…

Q: Find the point(s) of discontinuity of the piece-wise function f given by f(x) = |x| +3 if xs-3; -2x…

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Q: Identify the number of zeroes and the max number of extrema for the following function. g(x)= 3x²…

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Q: Give one way to restrict the domain of the function f (x) = X4-2to make the resulting function…

A: Given function is: fx=x4-2fx=x2

Q: A student writes the following for the function f(x) = (x-2)/(x^2-8x+8): "The domain of f(x) is…

A: Given: x-2x2-8x+8

Q: Find the domain of the function. (Enter your answer using interval notation.) f(x) = x+9/x^2-1

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Q: For the function f(x) f(x + h) – f(x) find * - 3 h

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Q: The function f is defined by f:x --> 10-(x-3)² for 2

A: To find: The value of function at . Calculation: Substitute in function.