MATHIA CONNECTION Investigating Characteristics of Even and Odd Functions > Analyze the graph of fix] = x², TOPIC 3 Randall The graph has no symmetry. When I look at the x-values I and -1, the y-values are not the same, so there isn't any symmetry about the y-axis. When I look at the y-values 8 and -8, the x-values are not the same, so there isn't symmetry about the x-axis. Three students determine whether the graph has symmetry. Who's correct? Explain your reasoning. olivia The graph has no symmetry. if reflect the graph across the x- or y-axis, it is not a mirror image. HABITS OF MIND Shedrick There is some type of symmetry. The points (2, 8) and (-2,-8) are on the graph. Likewise, the points (1, 1) and (-1, -1) are on the graph. There is a reflection of the points across the x- and y-axis. © Carnegie Learning, Inc.

Algebra and Trigonometry (6th Edition)
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ISBN:9780134463216
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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2(x-1)
x² - 4x-lextly
ACTIVITY 3
MATHIA CONNECTION
10x + 24 102-20
Investigating Characteristics of
Even and Odd Functions
> Analyze the graph of fix] = x²
Randall
The graph has no symmetry.
When I look at the x-values I and
-1, the y-values are not the same,
so there isn't any symmetry
about the y-axis. When I look at
the y-values 8 and -8, the
x-values are not the same, so
there isn't symmetry about
the x-axis.
olivia
The graph has no symmetry.
if reflect the graph across
the x- or y-axis, it is not a
mirror image.
-6-
-8
x²x2x-6 Y-12/ X-16
10 (x+2)
TOPIC 3
82 Topic 3 > Characteristics of Polynomial Functions
Three students determine whether the graph has symmetry. Who's correct?
Explain your reasoning.
x(x-4)-6(x-4),
HABITS OF MIND
Shedrick
There is some type of symmetry.
The points (2, 8) and (-2,-8) are
on the graph. Likewise, the points
(1, 1) and (-1, -1) are on the
graph. There is a reflection of the
points across the x- and y-axis.
Be a Rational Explanation
451
St
Carnegie Learning, Inc.
Transcribed Image Text:2(x-1) x² - 4x-lextly ACTIVITY 3 MATHIA CONNECTION 10x + 24 102-20 Investigating Characteristics of Even and Odd Functions > Analyze the graph of fix] = x² Randall The graph has no symmetry. When I look at the x-values I and -1, the y-values are not the same, so there isn't any symmetry about the y-axis. When I look at the y-values 8 and -8, the x-values are not the same, so there isn't symmetry about the x-axis. olivia The graph has no symmetry. if reflect the graph across the x- or y-axis, it is not a mirror image. -6- -8 x²x2x-6 Y-12/ X-16 10 (x+2) TOPIC 3 82 Topic 3 > Characteristics of Polynomial Functions Three students determine whether the graph has symmetry. Who's correct? Explain your reasoning. x(x-4)-6(x-4), HABITS OF MIND Shedrick There is some type of symmetry. The points (2, 8) and (-2,-8) are on the graph. Likewise, the points (1, 1) and (-1, -1) are on the graph. There is a reflection of the points across the x- and y-axis. Be a Rational Explanation 451 St Carnegie Learning, Inc.
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