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# What Is a Rational Parent Function?

A rational parent function is the most basic rational function whose form is imitated by all other rational functions, and it is written as f(x) = 1 / x. Rational functions represent the division of two polynomials where the denominator must contain a variable.

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The domain and range of a rational parent function is the set of all real numbers with the exception of 0. The graph of a rational function is a hyperbola. Excluded values are x-values that result in undefined y-values, hence they should be excluded from the domain. The parent rational function has the x- and y-axes as its asymptotes.

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Q:
## What Is the End Behavior of Rational Functions?

A: The end behaviors of a rational function refer to its shape toward the right and left ends of its graph. Rational function end behaviors are similar to tho... Full Answer >Filed Under: -
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## How Do You Find the Slant Asymptotes of Rational Functions?

A: In order to find the slant asymptote of a rational function, the student must divide the numerator by the denominator. The most common division methods use... Full Answer >Filed Under: -
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## How Are Domain and Range of Parent Functions Determined?

A: The domain and range of parent functions can be determined by finding the values located farthest to the right, left, top and bottom of the graph. The doma... Full Answer >Filed Under: -
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## What Is the Exponential Parent Function?

A: The exponential parent function is the most basic form of an exponential function. From the general form of an exponential function y = ab^x, an exponentia... Full Answer >Filed Under: