175k views
3 votes
Sketxh the graph of y=(x+3)^3 and state the points where the graph crosses the axes​

1 Answer

4 votes

Answer: the graph crosses the x-axis at x = -3

Explanation:

y = (x + 3)³

To find where the graph crosses the x-axis, let y = 0 and solve for x:

0 = (x + 3)³

0 = (x + 3) with a multiplicity of 3

-3 = x with a multiplicity of 3.

Since multiplicity is an ODD number, the graph CROSSES the x-axis at x = -3

Graph:

  • Leading coefficient is POSITIVE so right side goes to +∞
  • Degree of polynomial is ODD so left side goes to -∞

graph is attached

Sketxh the graph of y=(x+3)^3 and state the points where the graph crosses the axes-example-1
User Steve Lane
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories