GIVE STH
to
GIVES
TO STH
something
International support has given rise to a new optimism in the company. Heavy rains have given rise to flooding over a large area. The president’s absence has given rise to speculation about his health. The novel's success gave rise to a number of sequels.
TO TO STH GIVES
to be
TO STH by
something
My excitement gave way to fear when I drove a car for the first time. His discomfort gave way to anger.
The storm gave way to bright sunshine.
to be replaced by something, especially because it is better, cheaper, easier, etc.
Over the next few years, the city’s buses will give way to a new light rail system.