Category Relations and Function

1. The relation f is defined by (f(x)={begin{matrix}x^2,mathrm{ 0} le xle3\3x,mathrm{ 3}le xlemathrm{10}\end{matrix}) (g(x)={begin{matrix}x^2,mathrm{ 0} le xle2\3x,mathrm{ 2}le xlemathrm{10}\end{matrix}) Show that f is a function and g is not a function. Relations and Functions Miscellaneous Exercise Previous Next Class 11…

2. If (f(x)=x^2), find (frac{f(1.1)-f(1)}{(1.1-1)}). Relations and Functions Miscellaneous Exercise Previous Next Class 11 Relations and Functions Miscellaneous Exercise 1. The relation f is defined by (f(x)={begin{matrix}x^2,mathrm{ 0} le xle3\3x,mathrm{ 3}le xlemathrm{10}\end{matrix}) (g(x)={begin{matrix}x^2,mathrm{ 0} le xle2\3x,mathrm{ 2}le xlemathrm{10}\end{matrix}) Show that f…