DETAILS LARTRIG11 1.5.043.EP. Consider the following. y 4 sin(x + m) Find the period, the amplitude, and the phase shift of the graph of the function. period amplitude phase shift Consider one period of the graph beginning at x = 0, but adjusted with respect to the phase shift. Find the left and right endpoints of this adjusted interval. left endpoint x= right endpoint Determine the five distinct key points (intercepts, maximum points, and minimum points) in this adjusted interval. Intercepts smallest x-value largest x-value maximum minimum (x, y) = Maximum and Minimum Points (x, y) = (x, y) = (x, y) = 49 F Cloudy (x, y) = Sketch the graph of the function. (Include two full periods.) 3 AA AA VV. MA 1 -1 2 2 2-2 2 O 2 DO -2x 2 90 2 5 3A\

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 70E
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DETAILS LARTRIG11 1.5.043.EP.
Consider the following.
y = 4 sin(x + n)
Find the period, the amplitude, and the phase shift of the graph of the function.
period
amplitude
phase shift
Consider one period of the graph beginning at x = 0, but adjusted with respect to the phase shift. Find the left and right endpoints of this adjusted interval.
left endpoint x =
right endpoint X =
Determine the five distinct key points (intercepts, maximum points, and minimum points) in this adjusted interval.
Intercepts
smallest x-value
largest x-value
maximum
Maximum and Minimum Points
minimum
(x, y) =
O
(x, y) =
49°F
Cloudy
(x, y) =
(x, y) =
Sketch the graph of the function. (Include two full periods.)
y
y
5
4
4
3
3
3
2
2
2
1
ĐA ĐA VÀ
1
1
-2x
3m
-
-1
IT
-2A-
2
2
-2x -
1-
IR
-2
-1
2
2
√2) 2
2
2-2
3
3
-4
-5F
(x, y) =
3)
2
2x
X
O
A
3x
2
X
X
2
2x
X
Зл
FR
4
3
-4
-5
2
3x
2
2x
@
Transcribed Image Text:DETAILS LARTRIG11 1.5.043.EP. Consider the following. y = 4 sin(x + n) Find the period, the amplitude, and the phase shift of the graph of the function. period amplitude phase shift Consider one period of the graph beginning at x = 0, but adjusted with respect to the phase shift. Find the left and right endpoints of this adjusted interval. left endpoint x = right endpoint X = Determine the five distinct key points (intercepts, maximum points, and minimum points) in this adjusted interval. Intercepts smallest x-value largest x-value maximum Maximum and Minimum Points minimum (x, y) = O (x, y) = 49°F Cloudy (x, y) = (x, y) = Sketch the graph of the function. (Include two full periods.) y y 5 4 4 3 3 3 2 2 2 1 ĐA ĐA VÀ 1 1 -2x 3m - -1 IT -2A- 2 2 -2x - 1- IR -2 -1 2 2 √2) 2 2 2-2 3 3 -4 -5F (x, y) = 3) 2 2x X O A 3x 2 X X 2 2x X Зл FR 4 3 -4 -5 2 3x 2 2x @
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