Respuesta :

I think the answer is a. f(x)= cos(x).

Answer: Option 1 is correct.

Explanation:

This graph shows  that it cuts x-axis at [tex]\frac{\pi} {2}[/tex]=0 and  at [tex]\frac{3\pi} {2}[/tex]=0  which is satisfying the property of  cosx

Extrema of the graph at x=0, [tex]\frac{\pi} {2}[/tex],[tex]2\pi[/tex]

Properties of the given graph:

maxima at x=0 and [tex]2\pi[/tex]

minima at x=[tex]\pi}[/tex]

x-intercept at x = [tex]\frac{\pi} {2}[/tex], [tex]\frac{3\pi} {2}[/tex]

period = [tex]2\pi[/tex]

Range [-1,1]

Domain is all real numbers.

These all properties follows by cos x function.

So, the given graph would be of cos x

Thus, Option 1 is correct.


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