Question

Consider the function in the graph to the right. This is all one question.

Answer 1

The function is increasing is interval for which the value of function increases with increase in value of x. So function is increasing in,

`(-4,-2)`

The function is decreasing in interval in which value of function decreases with with increase in value of x. So function is decreasing in,

`(-\infty,-4)\cup(-2,\infty)`

The function is defined for value of x lie between negative infinity and positive infinity. So domain of the function is,

`(-\infty,\infty)`

As it can be observed that function is approaching inifity at ends. So range of the function is,

`(-\infty,\infty)`