Let f:R2→Rf:R^{2}\rightarrow Rf:R2→R be a real-valued function defined as f(0,y)=y+1 and f(x+1,y)=f(x,f(x,y))+xf\left(0, y\right)=y+1 \text{and} f\left(x+1, y\right)=f\left(x, f\left(x, y\right)\right)+ xf(0,y)=y+1 and f(x+1,y)=f(x,f(x,y))+x. What is the value of f(2,2)f(2, 2)f(2,2)?
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7
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