Question

Pre-Calculus: A student was given the piecwise function (image) and created this graph of the function. Is the student's graph a correct representation of the function? If not, explain how it should be corrected.

Answer 1

see the corrected graph below

Explanation:

For starters, the solid and open dots need to swap places. The "or equal to" is not present for the middle segment, only the end segments.

Then the function for x ≥ 1 needs to be properly graphed. it is only defined on the interval 1 ≤ x < 3, so should will extend beyond x=3.