The amplitude and the period of the function are 3 and 2, respectively.
<h3>What are the amplitude and the period of a sinusoidal function?</h3>
Sinusoidal functions are periodic bounded functions whose form is described below:
y = A · sin (2π · t / T + Ф) + y'
Where:
- y' - Midpoint
- A - Amplitude
- t - Time
- Ф - Phase
- T - Period
The period is the horizontal distance between two consecutive peaks or two consecutive bottoms and the amplitude is equal to the half of the distance between a peak and a consecutive bottom. Hence, the amplitude and the period are, respectively:
Amplitude
A = 0.5 · [2 - (- 4)]
A = 3
Period
T = 2 · [0.75 - (- 0.25)]
T = 2
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Answer:
(4,6,4,-8,-3)
Step-by-step explanation:
Domain means of function is the set of all possible inputs for function
Step-by-step explanation:
...x=+2...
...y=-3...
Answer:
Therefore values of a and b are
Step-by-step explanation:
Rewrite 
in the form
where a and b are integers,
To Find:
a = ?
b = ?
Solution:
..............Given
Which can be written as
Adding half coefficient of X square on both the side we get
...................( 1 )
By identity we have (A - B)² =A² - 2AB + B²
Therefore,
Substituting in equation 1 we get
Which is in the form of
On comparing we get
a = 3 and b = 2
Therefore values of a and b are
Answer:
n = -19
Step-by-step explanation:
2(n+8) = n - 3
2n + 16 = n - 3
2n = n - 19
n = - 19
