book Maths Puzzle Numerical Ability

what are these types of problems called, and how do you do them. Are their ny links you can refer me too. 5^(6-x) or like 5^(x/3) things of this nature and some more complex. thanks

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Hey I'm a calc tutor, and it's been so long since I've had algebra I was ashamed to be confused by a matrix problem. I don't know how to make the big brackets, but it looked somet I need your help in graphing the following rational equation(s) using vertical and horizontal asymptotes and a sign table:

(Note: Factor, find the Vertical Asymptote(s), find th