Determine the behavior of the functions defined below. Note that it is common to write g(x) → 0" to indicate g(x) increases without bound - use that notation below if needed. If a limit does not exist or the function is undefined, write DNE. a. Consider g(x) : 10г3 + 6а? + 7. + 7. Complete the following statements.

Q: if x 2 .2 x-4

A: We will choose the function according to limit.

Q: For fx) = x+6, find each of the following a. (-1) e. (for xs97) (5) a. f-1)-5 b.r (5)-0

A: Given query is to find the indicated valen do the function.

Q: 7x5 - x3 + 2x - 5 7. lim x→-o 9x6 – 2x2 + 10

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Q: x, if -1くx<

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Q: . Let f (x) = 2x + 5 and g(x) = v7x + 4. A. Find (-)(3). Show work. B. Find the domain of the…

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Q: x + 20 g(x) = { 3Cx + K if – 2 < x За — 2K if x < -2 | if 1 < x -

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Use the piecewise-defined function to find the following values for f(x). 1- 4x if xs - 2 f(x) = 4x…

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Q: B. Determine the function which coincides with f(x) for all values with the exception x = 5. (x² -…

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Q: On the following coordinate plane, draw a graph of one function, ??(??), that satisfies the…

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Q: Write the domain of the following function interval notation. 2х — 5 f (x) = 4 - 3x

A: Given: f(x)=2x-54-3x

Q: 2x -5x+3 2. Given h(x) = x? +x-2 At what value of x does the function have an infinite…

A: Topic = Functions As per guidelines , At  a time only three sub-parts can be answered.   1) An…

Q: Determine h(x²) for the following function. 3x h(x) = %3D x2 + x- 6

A: Solving the problem by jus finding the value of h(x2).

Q: Define g to be the function 2x2 – 5x – 3 if x + 3 g(x) = - 3 х — if x = 3 Sketch a graph of g.…

A: g(x)=2x2-5x-3x-3        ...if x≠36                          ...if x=3    If   limx→ag(x)≠f(a) , f(x)…

Q: 1, if x<-1 f(x) ={ x, if -1くxく0 2-x, if x 2 0

A:

Q: If h(x) 6.x + 1, find h(). Is h a one-to-one function?

A: If h(x) = 6x +1. To find h(1/2). Also, to check whether h is a one-to-one function.