1. Solve the inequalities and express the solutions on the number line: a ) 3 + - 47; 2. By means of the mathematical induction, prove n(n + 1)(4n - 1) 1 x 2 + 3 x 4+5 x 6+ ... + (2n - 1) x 2n = - 3 3. Provide a definition of odd function, even function, increasing and decreasing function. 4. Specify the intervals over which the function is increasing and the interval it is decreasing. a) f(x) = 4x2 + 4x - 3; b) f (x) = -x3. 5. Draw a graph of the function f (x): [-3,4] - R: a) f(x) = |x - 2| + 1; (4-x2 if xs1 b ) f ( x ) = 1 2 + 2 x if x > 1