Answers to Practice Exam 1 (except for graphs due to present software limitations)

1. (a) f(1) = 1 (b) f(-2) = -2 (d) increasing on [-2, 2)

2. Yes (which you should show by solving for y), you only get one output for each input

3. (a) f(x) = (x + 3)² – 4 (b) (-3, -4)

4. (-3, ∞)

5. Shift 3 units to the left, then stretch vertically by a factor of 2, then reflect over the x-axis, then shift up 4.

6. Odd: h(-x) = 2(-x)³ – 2/(-x) = -2x³ + 2/x = -(2x³ - 2/x) = -(h(x))

7. (a) -1 (b) 2a + h – 3

8. 31 feet