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Which of the following are characteristics of the graph of the absolute value parent function?

Check all that apply.

A. The left half has a slope of −1.
B. The right half has a slope of 1.
C. It is in quadrants II and IV.
D. It goes through the origin.

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metchelle
The correct answer for the given question above would be all but C. The characteristics of the graph of the absolute value parent function are the following: The left half has a slope of −1;  The right half has a slope of 1 and it goes through the origin. Hope this answers your question. Have a great day!

The graph of an absolute value parent function is a pair of rays in quadrant 1 & 2, as shown in the graph.

The absolute value function is

f(x) = |x| or y = |x|

We also know that the absolute function can be wriiten as

y = |x|

=> y = x    or   y = -x

Comparing with y = mx + c

We get

m = 1   or   m=-1    and c = 0

c = 0 implies that the line passes through the origin.

Hence the slopes shall be -1, 1 & the line passes through the origin.

Option A, B & D are the right answers.

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