Given the functions f(x) and g(x), which of the following statements is true
x | -2 -1 0 1 2
f(x)| -3 3 5 3 -3
g(x) = -x^2 +4
statements:
f(x) has the greater maximum.
g(x) has the greater maximum.
f(x) and g(x) have the same maximum.

f(x) has the greater maximum ⇒ 1st statement

Step-by-step explanation:

* Lets explain how to solve the problem

- The quadratic function represented graphically by a parabola with

 minimum point or maximum point

- If the parabola is opened upward then its vertex is minimum, and is

 it is opened downward then its vertex is maximum

- The form of the quadratic function is f(x) = ax² + bx + c, where

  a , b , c are constant

- The vertex of the parabola is (h , k), where h = -b/2a and k = f(h)

- The vertex of the parabola is minimum if a is positive and maximum

 if a is negative

* Lets solve the problem

∵ The graph of f(x) has the points (-2 , -3) , (-1 , 3) , (0 , 5) , (1 , 3) , (2 , -3)

∵ The vertex of the parabola has the greatest value of y when it's

  opened downward

∵ The x-coordinate of the vertex point is at half the distance between

 each two x-coordinates of the opposite points

∵ The point (0 , 5) has the greatest y-coordinate

∵ Its x-coordinate = (-1 + 1)/2 = 0 or (-2 + 2)/2 = 0

∴ The vertex of f(x) is (0 , 5)

∴ The maximum value of f(x) is 5

∵ g(x) = -x² + 4

∵ The general form of g(x) = ax² + bx + c

∴ a = -1 , b = 0 , c = 4

- Lets calculate the x-coordinate of the vertex point using the

 rule above

∵ h = -b/2a

∴ h = 0/2(-1) = 0

∵ k = g(h)

∴ k = g(0) = -(0)² + 4 = 4

∴ The vertex of g(x) = (0 , 4)

∵ a is negative , then the vertex point is maximum

∴ The maximum value of g(x) is 4

∵ The maximum value of f(x) is 5 and the maximum value of g(x) is 4

∴ f(x) has the greater maximum.

the correct answer is a) "catholic church".

the proposals that liberals in mexico made during 1855 were particularly focused on a person's individual rights, such as the freedom of speech, the freedom of conscience, freedom of assembly, and the right to possess weapons.

when the constitution was formally published 2 years later (1857). it also contained an article which permitted education free from any religious influence, the removal of the catholic church institutional privileges, and the sale of property belonging to the church. all of these provisions were clearly against the catholic church interests.