Question

Which point lies on the graph of the following piecewise function?
y = x if x –1
y = x2 if x > –1

Answer 1

first draw the graphs

Answer 2

What is the first if x -1 condition? I'm assuming it is x <= -1?

Answer 3

yes it is (:

Answer 4

Well, you would treat this as two separate items to graph. First, for the values of x<=-1, you would graph as if you were graphing y = x. For example, these points would be (-1,-1) (-2,2) (-5604,-5604) and so forth.

For the second condition of x > -1, you graph it as if it were x^2.
At x = -1 though, you place an open circle around the point (-1,1) because this part of the graph does not include that point. Then you would draw your parabola y = x^2 that extends to the right of this point.

Answer 5

Does that make the answer (1,1) ? ;o

Answer 6

https://www.desmos.com/calculator/jr3auwrv2s

Answer 7

Well (1,1) would be one point on the graph, yes. But the graph has much more points than just (1,1)

Answer 8

Okay, thank you!(: