Calculus: Analysis of Functions and Curve Sketching

Can anyone please help me complete the following given tasks for the functions :

a. f (x) = 2x^3 - 3x^2 + 12x +9

b. f (x) = x^2-1/x^2-16

c. f(x) = x(x-1)^3

d. f(x) = x-1/x^2-4

1. Find the zeros of the function. Find the values at which the function is undefined.

2. Find the domain of the function.

3. Find the horizontal and vertical asymptotes.

4. Find the x- and y-intercepts.

5. Find the limits at infinity and negative infinity to determine the function’s end behavior.

6. Find the first derivative and the second derivative.

7. Find the critical numbers and the possible points of inflection.

8. Use the x-intercepts and vertical asymptotes to divide the x-axis into open intervals. Complete the following table:

Intervals

Test Value

Sign of f(x)

+ or -

Conclusion

Above or below x-axis

9. Use the critical numbers to divide the x-axis to into open intervals. Complete the following table:

Intervals

Test Value

Sign of f(x)

+ or -

Conclusion

Increasing or Decreasing

10. Use the possible points of inflection to divide the x-axis to into open intervals. Complete the following table:

Intervals

Test Value

Sign of f(x)

+ or -

Conclusion

Concave Up or Concave Down

11. Determine the relative extrema and points of inflection based on analysis of your charts.

12. Generate a graph of the function using your graphing utility.

P.S. CAN U SHOW STEPS PLEASE. THANKS IN ADVANCE.