Cubic Function Domain And Range Interval Notation

In functions and function notation we were introduced to the concepts of domain and range.

Cubic function domain and range interval notation. Since this is third degree polynomial and 3 is odd then its domain in interval notation is and the range in interval notation is also. There is also no latex x latex that can give an output of 0 so 0 is excluded from the range as well. Since an interval.

Also it turns out that cubic functions are onto functions. Similarly f x x 3 is a monotonic decreasing function. Interval notation and set notation.

The domain and range of any cubic is all real numbers since any x value can be plugged into the cubic there is no division by zero or square roots to worry about. What type of function is a cubic function. In other words the range of cubic functions is all real numbers.

The function f x x 3 increases for all real x and hence it is a monotonic increasing function a monotonic function either increases or decreases for all real values of x. 1 4 the domain and range of a function. A brief review of interval notation.

For the reciprocal squared function latex f left x right frac 1 x 2 latex we cannot divide by latex 0 latex so we must exclude latex 0 latex from the domain. Keep in mind that in determining domains and ranges we need to consider what is physically possible or meaningful in real world examples such as tickets sales and year in the horror movie example above. The function f x x2 has a domain of all real numbers x can be anything and a range that is greater than or equal to zero.

In interval notation an interval is specified by an ordered pair of numbers consisting of the left and the right endpoints of the interval. In this section we will practice determining domains and ranges for specific functions. Note that the output of this function is always positive due to the square in the denominator so the range.