Answer Key for Exercises in Tutorial 32

1)

a) domain = (-inf, inf); range = (-inf, inf)
b) not a function, does not pass vertical line test
c) N/A
d) no symmetry









2)



a) domain = (-inf, inf); range = (-inf, inf)
b) a function, passes the vertical line test
c) increasing on (-inf, inf)
d) odd symmetry











3)

a) domain = (-inf, inf); range = (-inf, inf)
b) a function,  passes vertical line test
c) increasing on (-90, 90); decreasing on (-inf, -90) and (90, inf)
d) odd symmetry










4)



a) domain = (-inf, inf); range = {4}
b) a function, passes vertical line test
c) constant on (-inf, inf)
d) even symmetry








5)

a) domain = (-inf, inf); range = [-4, inf)
b) a function, passes vertical line test
c) increasing on [0,inf); decreasing on (-inf, 0]
d) even symmetry











6) (click picture for better visibility)

a) neither
b) neither
c) odd
d) even
e) even
f) even
g) odd
h) neither
i) neither
j) neither

7)
q1. 5
q2. 5
q3. 2
q4. 0
q5. -2
q6. 0
q7. 3
q8. -1
q9. -3
q10. 1000