The graph of the function f(x) = sin(1/2x) is attached accordingly. It is to be noted that it is erroneous to include an equal sign within the parenthesis, that is sin(1/2= x). Hence the correct function is f(x) = sin(1/2x).
What is a graphed function?
A graphed function simply means drawing a graph that is representative of a mathematical function.
What is the interpretation of the graphed function?
The task of the mathematician here is to first redefine the formula such that one can identify the:
- Amplitude
- Period
- Phase shift; and
- Vertical shift.
The form to be used is:
a sin(bx - c) + d where
a = 1
b= 1/2
c =0
d =0.
What is the Amplitude?
The absolute value of the amplitude |a| is given as
Amplitude = 1
What is the period of sin(x/2)
Using 2π/ |b|
Lets substitute b with 1/2
thus we have
2π/ |1/2|
= 4π
How to solve for the Phase shift?
With the aid of the formula, c/b
Given that c = 0
Hence, c/b which is 0/1/2
Phase shift = 0
How to solve for vertical shift?
The vertical shift is simply given as zero (0)
Thus all the properties of the trigonometric function are:
Amplitude = 1
Period = 4π
Phase Shift = 0
Vertical Shift = 0
See the attached graph.
Learn more about graphed functions at:
https://brainly.com/question/24335034
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