Back to Tutor Intake Assessment: Identify zeros and graph polynomials

HSA.APR.B.3 Tutor Intake — Zeros, Multiplicity, and End Behavior

This short check helps your tutor understand where to start with polynomial graphs. Answer each question on your own without help. If you are unsure, give your best try.

Grade 9·6 problems·~10 min·Common Core Math - HS Algebra·standard·hsa-apr-b-3

Work through problems with immediate feedback

Concepts

The graph of $p(x) = (x - 3)^2(x + 1)$ has two x-intercepts.
Which statement correctly describes the graph's behavior at each intercept?

The graph crosses at $x = 3$ and bounces at $x = -1$ .

The graph bounces at $x = 3$ and crosses at $x = -1$ .

The graph crosses at both $x = 3$ and $x = -1$ .

The graph bounces at both $x = 3$ and $x = -1$ .

For $q(x) = (x + 4)^3(x - 2)^2(x - 7)$ , what is the multiplicity
of the zero at $x = -4$ ?

Which description correctly gives the end behavior of
$f(x) = -2x^5 + x^3 - 7$ ?

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

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

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

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

Procedures

List the zeros of $p(x) = (x - 2)(x + 5)(x - 1)$ .

Enter the value of the largest zero.

For $p(x) = (x - 2)(x + 5)(x - 1)$ , compute the y-intercept.

Enter the y-coordinate of the y-intercept.

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