4. Find all solutions in the interval [0, 2π). sin2 x + sin x = 0

6. For the given function, find the vertical and horizontal asymptote(s) (if there are any).

f(x) = the quantity x squared plus four x minus three divided by the quantity x minus six

7. Find the exact value of the real number y.

y = csc-1(1)

11. Find the period of the function.

y = -5 cos x

14. Describe how to transform the graph of f into the graph of g.
f(x) = square root of quantity x minus eight. and g(x) = square root of quantity x plus four.

16. Find the exact value of the composition.

sin (arctan (2))

18. Find the inverse of the function.

f(x) = the cube root of quantity x divided by six. – 7

19. Find a cubic function with the given zeros.

6, -3, 5
.
20. Using the given zero, find all other zeros of f(x).

-2i is a zero of f(x) = x4 - 21x2 – 100

24. Find the exact value by using a half-angle identity.

cos five pi divided by twelve

28. Determine algebraically whether the function is even, odd, or neither even nor odd.

f(x) = -8x3 + 6x

31. Find the zeros of the function.

f(x) = 8x3 + 40x2 + 48x