Question

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

Answer 1

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

Step-by-step 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