Chapter 3 Exam Answers

Chapter 3 Exam answers 1) y = x3 – x is a function. For every element in the domain there is one and only one element in the range 2) Domain: [-1, ∞)

Range: (-∞, 0]

3) f(1) = 2 4) x – int: (0, 0) and (-2, 0) Symmetric with x = 1

y – int: (0, 0)

5) x – int: (0, 0) and (-2, 0) No symmetry

y – int: (0, 0)

6) Move 4 units to left and 2 units up 7) Move 2 units left, reflect over x-axis, and move 2 units down 8) VA: x = 4 and x = -4 HA. y = 0 Intercepts: (-4/3, 0) and (0, -1/4)

9) f – g = x2 – 3x – 1 10) f  g =

11) f

−1

=

x−5 6−x

x +1 5

Domain: (-∞, 5) ∪ (5, 6) ∪ (6, ∞)

12) f

−1

=

−1 x−2

13) Domain: ( − ∞,−3) ∪ ( − 3,3) ∪ ( 3, ∞ )

1  1   Range:  − ∞,−  ∪  − ,0  ∪ ( 0, ∞ ) 6  6  

14) Odd 15)

16) Vertex at (-2, -11) 17) a) 3.125 seconds b) 156.25 feet 18) No – x2 + 5 is not one-to-one. Bonus:

a≥0

Restricted Domain: [ 0, ∞ )