Question: Function depending on multiple variables - sensitivity analysis

I would like to get some sort of table (maybe also a plot) that shows me the effect on the function if I change a variable.

For example, I have f(x,y,z)=x+yz

Now I would like to get a list with the results for f if I run z from, say, -10 to +10.

Is it also possible to do this with all variables at the same time?

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