Back to Graph polynomial functions — Problem 2 · Task Set 17

HSF.IF.C.7.c Tutor Intake — Polynomial Graphs: Zeros, End Behavior, Multiplicity

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Grade 9·12 problems·~14 min·Common Core Math - HS Functions·standard·hsf-if-c-7c

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Concepts

Consider $f(x) = (x - 2)^2(x + 5)$ .
At $x = 2$ , how does the graph behave?

The graph crosses the x-axis

The graph touches (bounces off) the x-axis without crossing

The graph has a vertical asymptote

The graph has no x-intercept at $x = 2$