74.4k views
2 votes
For each problem, find all poin sketch the function. y=x³-6x²+9x+1

1 Answer

4 votes

Final answer:

To sketch the graph of the function y = x³ - 6x² + 9x + 1, we need to find the x-intercepts and y-intercepts. Once we have these points, we can plot them on a graph and connect them with a curve.

Step-by-step explanation:

To sketch the graph of the function y = x³ - 6x² + 9x + 1, we can start by finding the x-intercepts and the y-intercept. To find the x-intercepts, we set y to zero and solve for x. To find the y-intercept, we set x to zero and solve for y. Once we have these points, we can plot them on a graph and connect them with a smooth curve.

Now, for x-intercepts:

Set y = 0

0 = x³ - 6x² + 9x + 1

We can solve this equation using either factoring, synthetic division, or a graphing calculator. After finding the x-intercepts, set x to zero to find the y-intercept.

Once we have the x-intercepts and y-intercept, we can plot these points on a graph and connect them with a smooth curve to sketch the graph of the function.

Learn more about Graphing polynomial functions

User Gaetano
by
7.3k points

Related questions

asked Mar 6, 2024 195k views
Jbellis asked Mar 6, 2024
by Jbellis
7.8k points
1 answer
2 votes
195k views
1 answer
4 votes
172k views