Question

Which point lies on the graph of the following piecewise function?
y = x – 1 if x < 2
y = x^2 if x >= 2

(–1, 1)

(1, 1)

(2, 1)

(3, 9)

Answer 1

I've tried to solve this question several times, and I found that both (2,1) and (3,9) apply to the answer, so I don't know where I've done wrong on this one

Answer 2

@phi

Answer 3

@abb0t

Answer 4

someone plzz help me on this one! I've been stuck on this question since forever

Answer 5

@TuringTest

Answer 6

@robtobey

Answer 7

This question is asking you to look at each (x,y) pair and see which of the 4 pairs "works" in your function.

To test an (x,y) pair, you do the following:
pick an (x,y) pair to test. Let's try the first pair (-1,1)
look at the x value (the first number). x is -1

now look at your function
the first line says y = x – 1 if x < 2
that means, if x (of your pair) is less than 2, use this line
x is -1 and -1 is smaller than 2. We use this line:

y = x – 1

replace the x with -1. that means "erase the x" and write in -1:
y = -1 - 1
simplify: -1 - 1 is -2
y= -2

now does y= -2 (from the function) match y=1 (from the pair) ?
NO. that means (-1,1) is not the answer.

now try the other pairs, doing the same thing...