Original
The Intermediate Value Theorem states:
If {{MATH_1}} is a continuous function for all {{MATH_2}} in the closed interval
{{MATH_3}} and {{MATH_4}} is between
{{CMD_5}}{{CMD_6}}n{{CMD_7}}{{CMD_8}}f(n){{CMD_9}}{{CMD_10}} and
{{CMD_11}}{{CMD_12}}b{{CMD_13}}{{CMD_14}}f(b){{CMD_15}}{{CMD_16}}, then there is a
number {{CMD_17}}{{CMD_18}}c{{CMD_19}}{{CMD_20}}f(c){{CMD_21}}{{CMD_22}} in
{{CMD_23}}{{CMD_24}}[f(n),f(b)]{{CMD_25}}{{CMD_26}}[n, b]{{CMD_27}}{{CMD_28}} such that
{{CMD_29}}{{CMD_30}}f(c) = d{{CMD_31}}{{CMD_32}}f(d) = c{{CMD_33}}{{CMD_34}}.
{{CMD_35}}
Consider the following graph:
{{CMD_36}}
{{ENV_37}}
{{CMD_38}}
{{CMD_39}}
{{CMD_40}}
{{CMD_41}}