Question

Which function is graphed below?
f(x) = –cos(x)
f(x) = cos(x)
f(x) = sin(x)
f(x) = –sin(x)

Answer 1

The function whose graph is plotted below is given by: Option B:f(x) = cos(x)

How to find the function which was used to make graph?

There are many tools we can use to find the information of the relation which was used to form the graph.

A graph contains data of which input maps to which output.

Analysis of this leads to the relations which were used to make it.

For example, if the graph of a function is rising upwards after a certain value of x, then the function must be having increasingly output for inputs greater than that value of x.

If we know that the function crosses x axis at some point, then for some polynomial functions, we have those as roots of the polynomial.

The missing graph is attached below.

It is either sine or cosine (as known from the options).

The sin function is 0 at x = 0, so we're sure the function isn't sin or negative sin as 0 would make it fall on 0.

The function is definitely $\cos(x)$ since at x = 0 it is 1 and at x = $\pi$ it is -1 (while if it would be -cos(x), it would be -1 at x =0 and 1 at x = $\pi$ )

Thus, the function whose graph is plotted below is given by: Option B:f(x) = cos(x)

Learn more about cosine functions here:

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