Question

A polynomial function has x-intercepts at -2,, and 2 and a relative maximum at x = -1.

Which graph matches the description of this function?
O A.
OB.
4
-3 -2
-3
N.
"
7
9-
6+
3+
3-
15
4
-9-
9
y
4
6-
+
-3-
34
-N
3
-3
A
X
HX

Answer 1

Given that the polynomial function has x-intercepts at -2 and 2 and a relative maximum at x = -1, we can sketch the following graph:

The x-intercepts at -2 and 2 indicate that the function crosses the x-axis at those points, which means the function changes sign at those points.

Since the relative maximum occurs at x = -1, this means that the function is increasing on the left side of x = -1 and decreasing on the right side of x = -1.

Therefore, the graph that matches the description of this function is option B.

Hope This Helps!