Step 1: End Behavior
Look at the leading term. What do the "arms" of the graph do?
Drop Here
Drag an option
Step 2: Find the Zeros
Tap the x-axis to place a point where the graph hits zero.
1
2
All zeros found!
Step 3: Multiplicity
Does the graph cross or bounce at each zero? Tap the nodes to toggle.
Perfect!
Not quite, check the exponents.
Step 4: Build the Equation
Adjust the sign and exponents to match the blue graph.
Match!
f(x) =
(x {{ s4.r1 < 0 ? '+' : '−' }} {{ Math.abs(s4.r1) }})
(x {{ s4.r2 < 0 ? '+' : '−' }} {{ Math.abs(s4.r2) }})
Mastered!
You can now analyze polynomial graphs like a pro.