WorksheetsUnit 1 Test: Polynomials & Rational Functions
Total questions: 30
Worksheet time: 8hrs 30mins
For each function, state the maximum number of turns the graph could make. f (x) = x3 − x2 − 4
6
2
4
5
zeros of the polynomial
y = 3(x + 4)(x + 1)(x - 3)?
Which of the following correctly identifies the End Behavior?
What are the decreasing interval(s)?
(- ∞, 0) & (2, ∞ )
(-1, 0) & (2,-4)
(0,2)
(0, -4) & (0, 2)
4 is a(n)...
Absolute Maximum
Absolute Minimum
Local Maximum
Local Minimum
What are the increasing intervals?
(- ∞, -1) & (-1, 0) & (0, 1) & (1, ∞)
(3, 4) & (3, 8)
(- ∞, -1) & (1, ∞)
(-1, 0) & (1, ∞)
State the Range.
y ≤ 0
y ≥ 0
All Reals
y ≤ - 4
What are the zeros?
x = - 4
There are none
x = - 1.5 & 1.5
x = - 3.5 and 3.5
Which of the following correctly identifies the End Behavior?
Which of the following allows you to describe the end behavior of a polynomial?
the degree and the constant
the leading coefficient and the constant
degree and the variable
the degree and the leading coefficent
What is the DOMAIN of this graph?
x < -3
x ≤ -3
x > -3
x ≥ -3
10x2 + 15x-5
(3x - 4x3 + 6x4 + 1) / (x + 3)
List the ACTUAL rational zeros of
f(x) = x³ + 7x² - 2x -14 ?
-2,-14
±1,±2,±7,±14
7, 2
7
- 7
What's the horizontal asymptote of the function?
y = 0
No horizontal asymptote
y = 1
y = 9
Find the domain of the function. f(x) = -2 / x+3
x cannot equal to 3
x cannot equal to 1
x cannot equal to -3
All real numbers
What are the x-intercepts?
(2/3, 0)
(4,0) and (-2,0)
(-8,0) and (1,0)
(-4,0) and (2,0)
