### Home > PC3 > Chapter 6 > Lesson 6.1.1 > Problem6-16

6-16.

Sketch the graph of $f(x)=−(x+7)(x+4)^3(x)(x−2)$ without using a graphing calculator. Do not scale your axes, but be sure to label the important points. Describe the end behavior.

Identify the $x$-intercepts (roots) of the function by determining the value of $x$ that makes each factor equal to $0$.

This is a polynomial function of degree $7$.
The $y$-intercept is determined by calculating the value of the function when $x = 0$.