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.

Prerequisite Skills SKILL CHECK

Graph the function. State the domain and range.

ANSWER

ANSWER

ANSWER

4. y = –2 x – 1

5. y = x + 3

6. y = x – 2 + 53

domain: x > 0, range: y < 1

domain: x > 3, range: y > 0

domain: all real numbers,range: all real numbers

Prerequisite Skills SKILL CHECK

Find the inverse of the function.

7. y = 3x + 5

8. y = –2x3 + 1

9. y = x2, x ≥ 012

ANSWER y = 2x

– 2x – 1ANSWER 3y =

x – 5ANSWER y = 3

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

ANSWER

ANSWER y = –x2 – 6x

y = x2 + 2x 1

y = x2 + 2x 7