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38 questions
Describe the end behavior of
f(x) = -5x4- 2x2 + 8
Left side: Up
Right side: Up
Left Side: Up
Right side: Down
Left side: Down
Right side: Up
Left side: Down
Right side: Down
Describe the end behavior of
f(x) = 2x2 + 6x5 + 10x
Left side: Up
Right side: Down
Left side: Up
Right side: Up
Left side:Down
Right side: Down
Left side: Down
Right side: Up
Write a quadratic function that has the following characteristics:
*negative leading coefficient
*ONLY zero: 7
y = -(x + 7)(x - 7)
y = -(x - 7)2
y = -(x + 7)2
y = -(x - 7)4
A.
B.
C.
D.
Which function is graphed?
f(x)=(x - 4)(x + 2)(x - 8)
f(x)=(x - 4)(x - 2)(x + 8)
f(x)=(x - 4)(x + 2)(x + 8)
f(x)=(x + 4)(x + 2)(x + 8)
f(x) = (x+2)(x-3)2(x-4)
Which choice best describes the zeros?
-2, 3 (multiplicity 2), 4
-2 (multiplicity 2), 3, 4
2, -3 (multiplicity 2), -4
2 (multiplicity 2), -3, -4
State the Range.
(−∞,0)
(−∞,1.5]
(−∞,∞)
(−∞,−4]
What are the decreasing intervals?
(- ∞, -1.5) & (0, 1.5)
(-1.5, 0) & (1.5, ∞)
(- ∞, -1.5) & (-1.5, 0)
(-1.5, 0) & (0, 1.5)
What are the zeros?
approximately x = - 3.2
There are none
approximately x = 3.2
approximately x = - 3.2 and 3.2
What are the increasing intervals?
(- ∞, 0) & (2, ∞ )
(-1, 0) & (2,4)
(0,2) & (-3, -7)
(-8, -3) & (-7, 8)
State the Range.
(−∞,3]
(3,∞]
(−∞,∞) All Reals
[4,∞)
What are the increasing intervals?
(- ∞, -1) & (-1, 0) & (0, 1) & (1, ∞)
(3, 4) & (3, 8)
(- ∞, -1) & (1, ∞)
(-1, 0) & (1, ∞)
What are the decreasing intervals?
(- ∞, 0) & (2, ∞ )
(-1, 0) & (2,-4)
(0,2)
(0, -4) & (0, 2)
How many zeroes are shown in the graph?
1
2
3
4
Which zero has a multiplicity of 2?
-1
2
4
-4
What is the degree of this function?
Even
Odd
What is the absolute maximum of this graph?
(2,1)
(-1,-3)
(-3,2)
(4,-1)
What is the relative minimum of this graph?
(-3,2)
(-1,-3)
(2,1)
(4,-1)
This graph increases from...
( -1, 1 )
( 0, 4 )
[ -1, 1 ]
[ 0, 4 ]
When determining where a graph is increasing/ decreasing use...
x-values
y-values
When the number is not included in the interval, use
Parenthesis
Brackets
X values
Y values
This graph is a(n)...
Third degree polynomial
Sixth degree polynomial
Even function
Fifth degree polynomial
This is increasing on the interval (s)...
( - ∞, -2 ) U ( 2, ∞ )
( - ∞, 16 ) U ( -16, ∞ )
( -2, 2 )
( - ∞, -2 )
The degree of this function is...
Even
Odd
To determine if the degree of a function is even or odd, look at the...
x-values
y-values
Maximum/ Minimum
End behaviors
The blue dot on this graph represents a(n)...
Absolute Maximum
Absolute Minimum
Relative Maximum
Relative Minimum
This graph is decreasing on the intervals...
( -∞, -2 ) U ( 2, ∞ )
( -∞, 0 ) U ( 4, ∞ )
( -2, 2 )
( 0, 4 )
What are the zeros of f(x)=−2x(x+1)(x−3)(x+2)
−2, −1, 2, 3
−2, −1, 0, 3
−2, −1, 3
−3, 0, 1, 2
What do we know about the Degree and the Leading Coefficient of this function? (Select 2 answers!)
Even
Odd
Positive
Negative
Which of the following is a graph of a function with a NEGATIVE lead coefficient and an EVEN degree?
What is the absolute minimum of this graph?
(-1-3)
(-3,2)
(2,1)
(4,-1)
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