Question

Someone please answer and explain this!!! They are asking which is the graph of function f, and if it’s not one of the graphs that are showing please also state in you comment that it must be the fourth graph that isn’t showed in the picture thank you so much!!!

Answer 1

There's a graphing calculator called desmos graphing calculator so if you wanna make a few guesses that could help or check your answers :)

Answer 2

check the picture below.

the piecewise function, has two subfunctions or behaviours, one if x < 1, meaning less, not equals, but less than 1, so it doesn't include one, so it has a "hole" on that endpoint.

and the second behaviour of the piecewise is if x ⩾ 1, larger or equals than 1, so it includes 1, so it has a solid ball on that endpoint.