The relation f is defined by f(x)={x2,0≤x≤23x,3≤x≤10 The rela

1.	The relation f is defined by f(x)={x2,0≤x≤23x,3≤x≤10 The relation g is defined by g(x)={x2,0≤x≤33x,2≤x≤10 Show that f is a function and g is not a function.
Answer» The relation f is defined by $f (x) = {\begin{matrix} x^{2}, & 0 \leq x \leq 2 3 x, & 3 \leq x \leq 10 \end{matrix}$ The relation g is defined by $g (x) = {\begin{matrix} x^{2}, & 0 \leq x \leq 3 3 x, & 2 \leq x \leq 10 \end{matrix}$ Show that f is a function and g is not a function.

The relation f is defined by f(x)={x2,0≤x≤23x,3≤x≤10 The relation g is defined by g(x)={x2,0≤x≤33x,2≤x≤10 Show that f is a function and g is not a function.

Answer»

The relation f is defined by

$f (x) = {\begin{matrix} x^{2}, & 0 \leq x \leq 2 3 x, & 3 \leq x \leq 10 \end{matrix}$

The relation g is defined by

$g (x) = {\begin{matrix} x^{2}, & 0 \leq x \leq 3 3 x, & 2 \leq x \leq 10 \end{matrix}$

Show that f is a function and g is not a function.