Proving that $f(x) = g(x)$ for some $x \in [a,b]$ if $f,g$ continuous, $f(a) < g(a)$ and $f(b) > g(b)$
Hint: Apply the Intermediate Value Theorem to the function $f-g$ on the interval $[a,b]$.
Proving that $f(x) = g(x)$ for some $x \in [a,b]$ if $f,g$ continuous, $f(a) < g(a)$ and $f(b) > g(b)$
Hint: Apply the Intermediate Value Theorem to the function $f-g$ on the interval $[a,b]$.