select all the correct locations on the image. identify which functions have complex roots by selecting the…

select all the correct locations on the image. identify which functions have complex roots by selecting the function names on the provided coordinate plane.

select all the correct locations on the image. identify which functions have complex roots by selecting the function names on the provided coordinate plane.

Answer

Explanation:

Step1: Recall root - function relationship

The roots of a function (y = f(x)) are the (x) - values where (y = 0). Complex roots occur when the graph of the function does not cross the (x) - axis.

Step2: Analyze each function on the graph

Examine each function labeled (a), (b), (c), (d), (e), (f) on the coordinate - plane. Functions that do not intersect the (x) - axis have complex roots.

Answer:

Functions that do not cross the (x) - axis (you need to visually identify them on the actual graph as the text does not provide function names other than the instruction to select on the image). If we assume functions are named as per the boxes (a), (b), (c), (d), (e), (f), select the ones that have no (x) - intercepts.