Provide an appropriate response.Use the Intermediate Value Theorem to prove that x(x - 2)2 = 2 has a solution between 1 and 3.
What will be an ideal response?
Let f(x) = x(x - 2)2 and let y0 = 2. 
and 
Since f is continuous on 
and since 
is between 
and 
by the Intermediate Value Theorem, there exists a c in the interval 
with the property that 
Such a c is a solution to the equation 
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Provide an appropriate response.
; g(x) = 1 - 4x. Find:(a)f(0)(b)f(-1)(c)f(4) - f(-2)(d)f(g(0))(e)g(f(0))
What will be an ideal response?
Determine whether the specified paradox occurs.A country with two states has 16 seats in the legislature. The population of each state (in thousands) is given by: 
A third state is added with 3 additional seats as shown below. 
Does the new-states paradox occur using Hamilton's method of apportionment?
A. Yes B. No
Solve the compound inequality. Express the solution using interval notation. Graph the solution set.x ? 2 or x ? 8
A. (-2, 8)
B. [-8, -2]
C. (-?, 2] ? [8, ?)
D. (2, 8)
Decide whether or not the equation defines y as a function of x.y = 
A. No B. Yes