Back to Graph rational functions — Problem 1 · Task Set 19

HSF.IF.C.7.d Tutor Intake — Rational Function Key Features

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Grade 9·10 problems·~12 min·Common Core Math - HS Functions·standard·hsf-if-c-7d

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Concepts

For $f(x) = \dfrac{(x-2)(x+3)}{(x-2)(x-5)}$ , what happens at $x = 2$ ?

There is a vertical asymptote at $x = 2$ .

There is a zero (x-intercept) at $x = 2$ .

There is a removable discontinuity (hole) at $x = 2$ .

The function is defined and continuous at $x = 2$ .