What is the domain and range of $y= 4 cos x$ ?

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Answer 1 · 2017-07-23T01:42:41

Domain: $x in RR$
Range: $-4geyge4$

The domain is the list of all allowable $x$ values - that is to say - it results in $y$ values that are defined.

With the function $cos$ , it's a sinusoidal graph that cycles around the $x$ -axis:

graph{4cosx}

and so the domain is all reals, or $x in RR$

The range is the list of all the values generated from the domain.

In this case, the resulting $y$ values cycle between 4 and $-4$ , and so the range is $-4geyge4$

What is the domain and range of y= 4 cos xy= 4 cos x?