1. (3 pts) Starting with f(x) = 37 + 4, write the equation of the graph that results from reflecting f(x) about the x-axis, shifted left by 5 units and down by 7 units. 2. (3 pts) Is p(x) = 5x - 2 even, odd, or neither? Is q(x) = 2 + 4 even, odd, or neither?3. (2 pts) Sketch the graph of h(t) = -It - 1| + 3 by hand. Explain how to get the graph of y = h(t) from f (t) = It. 4. (2 pts) The graph of y = p(t) is given as below. Sketch the graph of y = 3p(-t + 2). 1 2 3 4 5 6 Section 1.6 5. (2 pts) Express the set of numbers x satisfying |1 - 3x| > 5 as an interval. Write your answer using interval notation. 6. (2 pts) Express the set of numbers x satisfying 75 -x| +5 3 8 as an interval. Write your answer using interval notation. 7. (3 pts) Find the x- and the y-intercepts of the graph of the function f(x) = 4x -1| - 10. Section 1.7 8. (3 pts) Find the inverse of 5 -3x f (ac) = 2 9. (4 pts) Find f(g(x)) and g(f (x)) where f(x) = x _ 3 and g(x) = _ 1 + 3x What does this tell us about the relationship between f and g? 10. (3 pts) Find a domain on which f = (x + 4)2 is one-to-one and non-increasing, then find the inverse of f restricted to that domain. 11. (3 pts) Find a domain on which f = x2 -5 is one-to-one and non-decreasing, then find the inverse of f restricted to that domain