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11 Dec 2020, 08:00
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
73% (01:05) correct
27%
(01:51)
wrong
based on 41
sessions
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The figure below shows the graph of a certain equation in the xy-plane. Which of the following could be the equation?
(A) x = |y| – 1
(B) y = |x| – 1
(C) |y| = x – 1
(D) y = x + 1
(E) |x| = y – 1
2020-12-10_17-01-13.png [ 8.23 KiB | Viewed 1346 times ]
(A) x = |y| – 1
(B) y = |x| – 1
(C) |y| = x – 1
(D) y = x + 1
(E) |x| = y – 1
Attachment:
2020-12-10_17-01-13.png [ 8.23 KiB | Viewed 1346 times ]
11 Dec 2020, 08:39
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Bunuel
Let's focus on the y-intercept of the graph.
Since the point (0, y) lies ON the graph, we know that x = 0 and y = y is a SOLUTION to the equation of the graph.
We also know that, since the point is beneath the x-axis, the value of y must be NEGATIVE.
At this point, let's plug x = 0 and see what we can conclude about the value of y
(A) 0 = |y| – 1.
Add 1 to both sides to get: |y| = 1
We get TWO possible solutions: y = 1 and y = -1
So, the points (0, 1) and (0, -1) must BOTH lie on the graph.
Since the graph has only ONE possible y-value corresponding to x =0, answer choice A is incorrect
(B) y = |0| – 1 = -1
Perfect, when x =0, the corresponding y-coordinate is NEGATIVE.
KEEP B
(C) |y| = 0 – 1
Simplify: |y| = -1
Since there are NO values of y that satisfy this equation, answer choice C is incorrect.
(D) y = 0 + 1 = 1
So, when x =0, the corresponding y-coordinate is POSITIVE.
Answer choice D is incorrect.
(E) |0| = y – 1
Solve to get: y = 1
So, when x =0, the corresponding y-coordinate is POSITIVE.
Answer choice E is incorrect.
By the process of elimination (POE), the correct answer must be B
