Question

how could I produce an equation that defines a curve?

Answer 1

every equation will define a curve, except a linear, absolute value, constant, or step functions.

so every equation besides f(x) = x, f(x) = c, f(x) = |x|, and step functions.

for instance, logarithms, quadratics, trigonmetric ratios, etc. all define curves

Answer 2

i am looking for an equation that would define my curve attached alongwith

Answer 3

An exponential graph seems like the best one or a rational function.