Question

y
7
6-
(1,6)
5-
-4+
3-
2-
1+
-0-
-7 -6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7
(-1,-2) (0,-1)
x
-1
-2-
(-2,-3)
-3-
--4-
-5-
--6-
-7-


(1,6)
(0,-1)
(-1,-2)
(-2,-3)

True or False. This graph represents the function y = x −1


.

Answer 1

False.

Check the points: for y = x − 1,
- (0, −1) → −1 = 0 − 1 (true)
- (−1, −2) → −2 = −1 − 1 (true)
- (−2, −3) → −3 = −2 − 1 (true)
- (1, 6) → 6 ≠ 1 − 1 = 0 (false)

Since (1,6) does not satisfy the equation, the graph is not y = x − 1.