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4.03 Graphing polynomial functions

Adaptive
Worksheet

Interactive practice questions

Consider the curve $y=\left(x+3\right)\left(x+2\right)\left(x-2\right)$y=(x+3)(x+2)(x2).

a

Find the $x$x-value of the $x$x-intercept(s).

b

Find the $y$y-value of the $y$y-intercept(s).

c

Sketch a graph of the curve.

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Medium
2min

Consider the curve $y=-\left(x+4\right)\left(x+2\right)\left(x-1\right)$y=(x+4)(x+2)(x1).

Medium
2min

Consider the curve $y=\left(x-2\right)^2\left(x+5\right)$y=(x2)2(x+5).

Medium
3min

Consider the function $y=-\left(x-2\right)^2\left(x+1\right)$y=(x2)2(x+1).

Medium
3min
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Outcomes

A.APR.B.3

Identify zeros of polynomials when suitable factorizations are available, and use the zeros to construct a rough graph of the function defined by the polynomial.

F.IF.C.7.C

Graph polynomial functions, identifying zeros when suitable factorizations are available, and showing end behavior.

F.IF.C.8

Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.

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