Honors Advanced Algebra – Enrichment 6 State the possible rational zeros for each function. Then factor each and find all zeros.
1. fx= 3x3-5x2-9x+15 2. fx=2x4-5x2-18

Possible Zeros: Possible Zeros:

Factored form: Factored form:

Zeros: Zeros:

Describe the end behavior of each function.
3. fx= -x4+3x2-3x+2 4. fx= x5-4x3+3x+4
End Behavior: x→-∞, f(x)→ End Behavior: x→-∞, f(x)→
x→+∞, f(x)→ x→+∞, f(x)→

Find the key features of each graph and then sketch the graph.
5. fx= x3-2x2+3 6. fx= -x4-x3+4x2-4

Domain: Even/Odd: Domain: Even/Odd:
Range: Pos/Neg: Range: Pos/Neg:
x-intercepts: x-intercepts:
y-intercept: y-intercept:
End Behavior: x→-∞, f(x)→ End Behavior: x→-∞, f(x)→
x→+∞, f(x)→ x→+∞, f(x)→