The graph of the function g(x) = 7cosx after the shift of 5[tex]\pi[/tex]/3 is shown by second graph.
Trigonometric Function
What are trigonometric function?
A right-angled triangle's relationship between its angle and sides is represented by a series of functions known as trigonometric functions.
What is Cosine (Cos) Function?
The ratio of the neighbouring side to the hypotenuse is known as the cos function (cosine function) in a triangle.
The range of cosine function lies between -1 to 1.
Calculation for the range of given function:
The given function is, g(x) = 7cosx
Consider x = 0, put in the fucntion.
g(x) = 7cos0
g(x) = 7×1
g(x) = 7
As, for the domain of x = 0 range is 7. the graph will shift upward with 7 units from origin.
Now, according to question there is a shift of 5[tex]\pi[/tex]/3 of the graph, which means this 7 shift upward will move to 5[tex]\pi[/tex]/3 .
This, condition is satisfied by the second graph.
Therefore, the shift for the function g(x) = 7cosx is shown correctly by second graph.
To know more about domain and range, here
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