Exercises: Relate the Domain of a Function to Its Graph and Quantitative Context

Work through each section in order. Show your work where indicated.

Grade 9·21 problems·~30 min·Common Core Math - HS Functions·group·hsf-if-b-5

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Recall / Warm-Up

A graph of a function has an open circle at $( 3, 5 )$ . What does this mean?

The function is undefined for all $x$ near 3.

The point $( 3, 5 )$ is excluded — $x = 3$ is not in the domain.

The function has a vertical asymptote at $x = 3$ .

The output at $x = 3$ is zero.