Question: Identify a Tangent Line

How to solve this problem in maple?
Decide which of three lines given are tangent to the graph of f(x) at given points.
The function to define is f(x)=2x^3-4x^2+3x-5
The possible tangent lines are:
y = x - 5
y = 2x - 5
y = 3x - 5

1. What is/are the zero(es) for this function? In other words, what is the solution for f(x)= 0

2.  What axes values (x- and y- ranges) are appropriate for this graph?

3. When plotting each linear function with f(x), which line appears to be tangent to the curve at the point (0,-5)? How about at (1,-4)

4. What are the derivatives f’(0) and f’(1) and how do they relate to the slopes of the tangent lines to these points?

5. Formulate a function for the normal line to the curve at the point (0,-5).