Question

1. Draw the graph of sin x, using the graph of sin x demonstrate the concept of DOMAIN and RANGE.​

Answer 1

Answer:

The domain and range for any equation can be defined as -

If y = f(x),

The possible attainable values of y is called Range.

The possible values of variable x with respect to the function is called Domain.

For the given question, we can write -

y = sin(x) ———- (1)

Sin(x) always lies between -1 to +1.

It means in eqn(1), value of y will lie between -1 to +1.

Hence, Range is (-1,+1)

Also, sin function is defined for all real numbers ranging from (-Inf) to (+Inf).

It means, all real numbers can be put in the place of x, given in eqn(1).

Hence, Domain is (-∞,+∞).