Domain And Range Of A Reciprocal Function In Interval Notation

Learn how to graph the reciprocal function.

Domain and range of a reciprocal function in interval notation. In this function that can never happen 1 0 so the range is y 0 or inf 0. In this section we will practice determining domains and ranges for specific functions. Hi i recently completed a small quiz but im wondering if i got it right or not so i decided to give. Its domain is the real numbers except 0 because 1 0 is undefined.

Open parentheses closed parentheses infinity imagine an 8 sideways negative infinity an 8 sideways with a negative sign in front of it and union a symbol similar to an elongated u. Reciprocal function domain and range. 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. This is the reciprocal function.

This is its graph. There is also no latex x latex that can give an output of 0 so 0 is excluded from the range as well. The only way a fraction can be 0 is if the numerator is 0. Note that the output of this function is always positive due to the square in the denominator so the range.

In interval notation there are five basic symbols to be familiar with. The procedure for doing interval notation include. The domain is all values of that make the expression defined. Determine the domain and range.

The reciprocal function can also be. 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. It is a hyperbola. Find the domain and range y csc x set the argument in equal to to find where the expression is undefined for any integer.

It is an odd function. Interval notation is a method used to write the domain and range of a function. Write the numbers separated by a comma in ascending order. Since the range and domain of a function are usually expressed in interval notation it s important therefore to discuss the concept of interval notation.

Inf 2 u 2 inf in interval notation.