Book Maths Puzzle Algebra

Sketch the graph of each function. state the domain and range, and whether the function is increasing or decreasing. identify any aysmptotes.
f(x)=2^x-3

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Is there a software to write a linear system of equations (it's actually an optimization problem), and solve it. it's of this kind
minF= Y.Y + w(X.X)+ s(Z.Z) with
Y= a + bI + cD + dI* + eD*
X= f + gI + hD + iI* + jD*
Z= k + lI + mD + nI* + oD*

All lower case are parameters, and adctually they have indices (is there something to write that easily, it's a pain under Word...)
I need to diiferentiate F with respects to I and D, then write I and D as functions of I* and D*. I can do it myself but it takes a really long time and even longer to type it, is there a solver for that??
thanks so much for your help
If you have 98 pints of gas A and 32 pints of gas B and combined octane is 85%, then you has 40 pints of A and 80 pints of gas B with the combined octaine equaling 75%. what is the octane of A and B?