When looking at a rational function, Jamal and Angie have two different thoughts. Jamal says that the function is defined at x = - 3, x = - 4, and x = 6. Angie says that the function is undefined at those x values. Describe a situation where Jamal is correct, and describe a situation where Angie is correct. Is it possible for a situation to exist that they are both correct? Justify your reasoning.

Question

Mina Sparks

Mathematics

4 May, 06:41

When looking at a rational function, Jamal and Angie have two different thoughts. Jamal says that the function is defined at x = - 3, x = - 4, and x = 6. Angie says that the function is undefined at those x values. Describe a situation where Jamal is correct, and describe a situation where Angie is correct. Is it possible for a situation to exist that they are both correct? Justify your reasoning.

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Rosemary Ware · Answer 1

Rational function is a function that contains a fraction.

Jamal is correct if the numerator of the fraction contains the variable x and its denominator is an integer that is not 0.

Angie is correct if the denominator of the fraction contains the variable x and substituting the value of x will result to a denominator of 0.

A rational function can't be a function if its denominator is 0.