GSE Algebra II
3A – Polynomial Characteristics
3A.1 – Homework
Name:
Date: _______________________
3
2
2
1. f(x)  x  2x  x  2
2. f(x)  x  2x  8
Rel. Max: _________ Rel. Min: _____________
Rel. Max: _________ Rel. Min: _____________
Abs. Max: _________ Abs. Min: ____________
Abs. Max: _________ Abs. Min: ____________
Inc: ______________ Dec: _________________
Inc: ______________ Dec: _________________
Roots: ____________ y-int: _______________
Domain: _________ Range: _______________
(-1.54, 0.65)
(.21, -2.11)
(1, -9)
3
2
3
3. f(x)  x  4x  4x
2
4. f(x)  x  2x  4x  8
Rel. Max: _________ Rel. Min: _____________
Rel. Max: _________ Rel. Min: _____________
Abs. Max: _________ Abs. Min: ____________
Abs. Max: _________ Abs. Min: ____________
Inc: ______________ Dec: _________________
Inc: ______________ Dec: _________________
Domain: _________ Range: _______________
Roots: ____________ y-int: _______________
(3.1, 21.05)
(-.67, 9.5)
(-0.48, -0.9)
GSE Algebra II
3A – Polynomial Characteristics
3A.1 – Homework
Name:
Date: _______________________
2
5. f(x)  2x  x  6
3
2
6. f(x)  x  3x  4x  12
Rel. Max: _________ Rel. Min: _____________
Rel. Max: _________ Rel. Min: _____________
Abs. Max: _________ Abs. Min: ____________
Abs. Max: _________ Abs. Min: ____________
Inc: ______________ Dec: _________________
Inc: ______________ Dec: _________________
Domain: _________ Range: _______________
Roots: ____________ y-int: _______________
(0.25, 6.13)
(-2.5, 1.1)
(1.5, -13.1)
Identify the y-intercept and the # of zeros
3
2
7. f(x)  x  16
8. f(x)  x  x  1
Y-Int: __________
4
# of Zeros: __________
3
9. f(x)  9x  x  3x  10
Y-Int: __________
# of Zeros: __________
11. f(x)  7x
Y-Int: __________
Y-Int: ________
# of Zeros: ________
3
10. f(x)  x  x  2
Y-Int: ________
# of Zeros: ________
3
12. f(x)  2x  7
# of Zeros: __________
Y-Int: ________
# of Zeros: ________