For the given graph of f(x)=cosx. Select the correct statements.
A
g(x)max=4×h(x)max
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B
g(x)=2cosx
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C
h(x)=0.25cosx
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D
h(x)=0.5+cosx
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Solution
The correct option is Bg(x)=2cosx Given the graph of the functions as:
Here, f(x)=cosx and h(x) is a function shrunk 0.5 times the function f(x) ⇒h(x)=0.5cosx
Similarly, g(x) is a function stretched 2 times the function f(x) ⇒g(x)=2cosx
Also, h(x)max=0.5 and g(x)max=2 ⇒g(x)max=4×h(x)max