Question

Determine the largest and minimum value of the functions.
a) y = 3 sin x

b) y = cos 3x

Answer 1

Answer:

a) the range would be [-3,3]

b)the range would be same as cosx ie

[-1,1]

explanation:

a) the range of sinx is as below

-1 < sinx < 1

multiplying by 3 we get

-3 < 3sinx < 3

therefore minimum value is -3 and maximum value is 3

b) the range of cos3x would be similar to that of cosx therfore there would be no change

therefore minimum value would be -1 and max value would be 1