Domain And Range Of A Reciprocal Function In Interval Notation
A reciprocal function is a rational function whose expression of the variable is in the denominator.
Domain and range of a reciprocal function in interval notation. Hi i recently completed a small quiz but im wondering if i got it right or not so i decided to give. 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. In this section we will practice determining domains and ranges for specific functions.
Find the domain and range y csc x set the argument in equal to to find where the expression is undefined for any integer. The procedure for doing interval notation include. Inf 2 u 2 inf in interval notation.
It is a hyperbola. Reciprocal function domain and range. 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.
The only way a fraction can be 0 is if the numerator is 0. 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. 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.
The reciprocal function can also be. In functions and function notation we were introduced to the concepts of domain and range. This is its graph.
Determine the domain and range. 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.