For the single roots -1 and 2,the graph crosses the x-axis at the intercepts
For the double root 3 the graph touches at the intercepts
What are intercepts?
"These are the point at which the graph of the function intersects the x-axis or Y-axis"
What are roots of function?
"These are the values for which the function equals zero."
For given question,
We have been given a function f(x) = (x + 1)(x - 2)(x - 3)²
To find the roots of function f(x)
⇒ f(x) = 0
⇒ (x + 1)(x - 2)(x - 3)² = 0
⇒ x + 1 = 0 or x - 2 = 0 or (x - 3)²=0
⇒ x = -1 or x = 2 or x = 3
This means x = -1, 2, 3 are the roots of the function f(x)
From the graph of the function we can observe that the for the single roots -1 and 2,the graph of the function f(x) crosses the x-axis at the intercepts x = -1 and x = 2 respectively.
And for the double root 3 the graph of the function f(x) touches at the intercept x = 3.
Therefore, For the single roots -1 and 2,the graph crosses the x-axis at the intercepts.
For the double root 3 the graph touches at the intercepts.
Learn more about the intercepts of the function here:
https://brainly.com/question/14180189
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