Let $f(x) = \left(x-5\right)\!\left(x+4\right)\!\left(x-3\right).$ Find the $y$-intercept(s), the $x$-intercept(s), the values of $x$ where $f(x)>0$, and the values of $x$ where $f(x)<0$. Do not sketch the graph.

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1. Find the $y$-intercept(s). List your answers as points in the form $(a,b)$.
Answer (separate by commas):

2. Find the $x$-intercept(s). List your answers as points in the form $(a,b)$.
Answer (separate by commas):

3. What are the values of $x$ where $f(x)>0$?
Answer (in interval notation):

4. What are the values of $x$ where $f(x)<0$?
Answer (in interval notation):