1.State the domain and range for the function f(x) = 2x²- 7. (10 points)

2.

Show that the function f(x) = x^-5+ cos(2x) is even, odd, or neither. (10 points)

3.

Determine the equation of a line, in slope-intercept form, that passes through the points (5, 6) and (10, 2). (10 points)

4.

Write the equation of the function g(x) if g(x) = f(x - 3) +1 and f(x) = x³+ 1.

5.

Identify the maximum and minimum values of the function y = 8 cos x in the interval [-2, 2]. Use your understanding of transformations, not your graphing calculator. (10 points)