1. Prerequisite Skills VOCABULARY CHECK 1. The domain of the function is ?. 2. The range of the function is ?. 3. The inverse of the function is ?. ANSWER x ≥ 2 ANSWER y ≥ 3 ANSWER y = (x – 3) 2 + 2 Copy and complete the statement using the graph at the right.

2. Prerequisite Skills SKILL CHECK Graph the function. State the domain and range. ANSWER 4. y = –2 x – 1 5. y = x + 3 6. y = x – 2 + 5 3 domain: x > 0, range: y < 1 domain: x > 3, range: y > 0 domain: all real numbers, range: all real numbers

3. Prerequisite Skills SKILL CHECK Find the inverse of the function. 7. y = 3x + 5 8. y = –2x 3 + 1 9. y = x 2, x ≥ 0 1 2 ANSWER y = 2x – 2 x – 1 ANSWER 3 y = x – 5 ANSWER y = 3

4. Prerequisite Skills SKILL CHECK Write a quadratic function in standard form for the parabola that passes through the given points. 10. (0, –1), (1, 2), (3, 14) 11. (3, 8), (4, 17), (7, 56) 12. (–3, 9), (1, –7), (5, –55) ANSWER y = –x 2 – 6x y = x 2 + 2x 1 y = x 2 + 2x 7