Identify the intervals for which the function is increasing / decreasing.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter11: Topics From Analytic Geometry
Section11.3: Hyperbolas
Problem 41E
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Question
Identify the intervals
for which thef unction
is increasing/
decreasing.
How do the transformations relate to the parent graph?
y = x² + 2
y = x² – 2
y = 2x?
y =
2
y = - x?
upward
more
It got wider
Shift 2 unit
shift 2 unit
How does the graph
change?
tangential
graph goes
upward
downward
downward
(less wider)
y > 0
|(0,0) x=v2y
y >_2
y=>_-2
XV4/2
x=V-y
What is the range?
(2,0)
(-2,0)
(0,0)
(-0,0) y<_0
all real numbers
all real numbers
all real numbers
all real numbers all real
What is the domain?
numbers
What is the end
behavior?
up
minimum
What is the maximum
/ minimum?
|(0,0)
Identify the intervals
for which the function
n/a
is increasing /
decreasing.
Transcribed Image Text:How do the transformations relate to the parent graph? y = x² + 2 y = x² – 2 y = 2x? y = 2 y = - x? upward more It got wider Shift 2 unit shift 2 unit How does the graph change? tangential graph goes upward downward downward (less wider) y > 0 |(0,0) x=v2y y >_2 y=>_-2 XV4/2 x=V-y What is the range? (2,0) (-2,0) (0,0) (-0,0) y<_0 all real numbers all real numbers all real numbers all real numbers all real What is the domain? numbers What is the end behavior? up minimum What is the maximum / minimum? |(0,0) Identify the intervals for which the function n/a is increasing / decreasing.
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