Find all the critical points of the function y = h(x) = In(x + 1)6 – 2x + 5. Order the critical points from the smallest to the largest and fill in the blanks below with information about each critical point, starting with the smallest. Express each number as a fraction reduced to its simplest form (e.g., -5/1 or 0/1). Put X in all redundant blanks. For example, if you found only 2 critical points, you would fill all the blanks for Critical point 3 with X.

Q: g(x) = x³ + x? - 8x- 12 f(x) = x² + 4x +3 %3D h(x) = x² + 3 %3D s(x) = x² - 3x

A:

Q: Which function is increasing as x approaches negative infinity and decreasing as a approaches…

A: We have to find  which function is increasing as x approaches negative infinity and decreasing as x…

Q: Determine the end behavior of the following function as x → +∞: 4x4 + 8x – 1 s(x) = -9x4 – 7x2 7x…

A: Topic- Function

Q: Consider the following piecewise-defined functions: 2x+1, x1 f(x) = g(x): g(0) = Find the following…

A:

Q: find f(-2). x+5 if - 3 ≤ x 4

A:

Q: If K(x) =|x- 3|+x, find K(-1).

A: Using the property of mod function,

Q: 8x2

A:

Q: For the given function, compute the missing values in the following table. s(x)=4*-2 -3 s(x) 1/1024…

A:

Q: Show that the function x- 16 - f (x) = x + 4 4 - 10 x = 4 has a removable discontinuity at x = 4.

A: A real valued univariate function f=f(x) is said to have removable discontinuity at c in its domain…

Q: For f(x) = 5x – 1 and g(x) = 5x2 - 1, find the following functions. %3D a. (fo g)(x); b. (g o f)(x);…

A: Given f(x)=5x-1 and g(x)=5x2-1fog(x)=In place of x of f(x) substitute g(x)fog(x)=f(g(x))=5(5x2-1)-1…

Q: If f(x) = f(-3) = f(0) = f(2)= 2x-1 x²+3 for x ≤0 for x>0 " evaluate the following.

A:

Q: Let f(x) = 6x – 10. Find each of the following: %3D f(a) = %3D 2f(a) = %3D f(2a) = f(a + 2) = %3D…

A: We have to find function value

Q: If f(x) = x2 – 9x and g(x) = x + 8, evaluate each of the following. (a) (f o g)(3)= (b) (g o f)(3)=

A: topic - composite functions