### Video Transcript

For the given function π« of π‘ equals two π‘π’ plus two π‘ squared plus three π£, evaluate π« of zero.

The function weβve been given is a vector-valued function. Itβs a function whose range is a vector or a set of vectors and whose domain is a subset of the real numbers. Weβre looking to evaluate π« of zero. In other words, weβre going to let π‘ be equal to zero in our function π« of π‘. To find π« of zero, all we do is we replace π‘ with zero in our vector-valued function. So π« of zero is two times zero π’ plus two times zero square plus three π£. Two times zero is zero, and two time zero squared plus three is three. So we find that π« of zero is zero π’ plus three π£, which is simply three π£.