Four Zeros with an Absolute

★ 8/10functions Substitution Absolute Value Casework

Problem

The function

f(x) = x^2(x-4)^2 - a|x - 2| + 2a

has exactly $4$ zeros. Find the range of possible values of the real number $a$ .

Answer

Solution

Difficulty	8/10
Topics	functions, Substitution, Absolute Value, Casework

Whiteboard

Your sketch is saved only in this browser. To share it, export your drawing as an image (whiteboard menu → Export as → PNG), then upload that image in the comments below.

Discussion

Ask questions, share alternate solutions, and use LaTeX freely.

0 comments

No comments yet.