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Back to Graph rational functions — Problem 1 · Task Set 20

Exercises: Graph Rational Functions

Work through each section in order. Show your work where indicated. Factor all rational expressions completely before identifying key features.

Grade 9·20 problems·~30 min·Common Core Math - HS Functions·standard·hsf-if-c-7d
Work through problems with immediate feedback
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Fluency Practice

1.

Find all zeros of f(x)=x2−4x2+1f(x) = \frac{x^2 - 4}{x^2 + 1}.

The smaller zero is x=x =   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   and the larger zero is x=x =   ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲ ̲   .

smaller zero:
larger zero: