Exercises: Identify Zeros and Graph Polynomials

Work through each section in order. For graph-related problems, describe behavior in terms of crossing, bouncing, and end behavior arrows.

Grade 9·22 problems·~38 min·Common Core Math - HS Algebra·standard·hsa-apr-b-3

Work through problems with immediate feedback

Fluency Practice

What is the end behavior of $p(x) = -3x^5 + 2x^3 - x + 7$ ?

As $x \to +\infty$ , $p(x) \to +\infty$ ; as $x \to -\infty$ , $p(x) \to -\infty$

As $x \to +\infty$ , $p(x) \to -\infty$ ; as $x \to -\infty$ , $p(x) \to +\infty$

Both ends go up ( $\uparrow\uparrow$ )

As $x \to +\infty$ , $p(x) \to +7$ ; as $x \to -\infty$ , $p(x) \to +7$