Polynomials
-2x2(x-y3)-4y2(x-3y2)
-2x3+2x2y3-4xy2+12y4
Would a vertical line be a function or not a function?
Not a function
Which of the following functions has a vertex in Quadrant II?
A. f(x) = (x−3)(x−7) '
B. f(x)= −(x−3)2 + 7
C. f(x)= −(x+ 3)2 + 7
D. f(x)= (x−3)2 + 7
C
At which point does the function
f(x) = -.5x2 - 2x + 5 have a maximum?
(-2,7)
What is one of the zeros of the polynomial expression whose factored form is (3x − 3)(x − 6)?
1 or 6
What is an expression that is equivalent to
(x+3)(3x2-x-5)?
3x3+8x2-8x-15
How can you tell when a set is not a function?
The x-value repeats.
What quadrant is the following function in:
f(x) = (x-3)2 + 7
Q1
What is the maximum value of the function
y = -3x2 + 18x - 21?
6
(3,6)
A toy rocket is launched upward from a platform. The height, in feet, of the rocket is defined by
g(x) = -16x2 + 64x + 80 where x represents the time in seconds after the rocket is launched.
What is the rockets maximum height?
144 ft
What is the simplest form of the expression
6u2-7u(t+4u)?
-22u2-7tu
If v(t) = t2 - 4t + 3, what is v(3)?
0
Which of the following functions has a positive y-intercept?
A) f(x) = -(x - 3)2 + 7
B)f(x) = -(x + 5) + 1
C) f(x) = (x + 7)(x - 7)
A
What is the minimum point in the function
f(x) = -x2 + 10x - 21?
Does not have one
For which two functions is 2 a zero?
A) f(x) = x2 + 4
B) f(x) = x2 − 4x − 12
C) f(x) = x2 + 4x + 4
D) f(x) = x2 + x − 6
E) f(x) = x2 − 3x + 2
D and E
What are the x-intercepts of the graph
f(x)=6x2 + 12x
(-2,0) (0,0)
Determine if the following are true, given the function f(x)=2x-x3
f(-1)=-3
f(1)=1
f(-4)=56
f(-2) < f(2)
f(0) > f(4)
false, true, true, false, true
What is the domain of the function f(x) = x2 - 9?
All real numbers
Which two of the following numbers are zeroes of the quadratic functions y = x2 - 3x - 54?
-9
-6
0
6
9
-6 and 9
Which polynomial represents the product of 5x - 1 and x2 + 3x - 4?
A. 5x3 +3x-4
B. 5x3+15x2 -4
C. 5x3 +14x2-23x+4
D. 5x3 +16x2+17x+4
D
What are the zeros of each polynomial below:
x2-x-2
x2+3x-4
x2+8x+16
3x2-12
-1 & -2
-4 & 1
-4
-2 & 2
22,31,40,49,58...
What is f(n+1) in terms of f(n), where n represents the number of terms in the pattern?
f(n-9)
f(n+9)
f(n) -9
f(n) +9
f(n) +9
Given the function 8x − 6y = 24, which two statements about this function are true?
A) The x-intercept of the function is (0, 3).
B) The x-intercept of the function is (3, 0).
C) The y-intercept of the function is (0, -4).
D) The y-intercept of the function is (0, 4).
E) The y-intercept of the function is (-4, 0).
B & C
A football is punted, and its height in feet, y, after x seconds is recorded. The graph created from these data is a parabola with y-intercept (0, 3), x-intercept (4.06, 0), and vertex (2, 51).
Which statement is true of the football during this punt?
A. The football was in the air for a total of 51 seconds.
B. The football reached a maximum height of 51 feet.
C. The football reached its maximum height after 51 seconds.
D. The football was punted from an initial height of 51 feet.
B
Which expression is equivalent to 6xy − 4y2?
A. −4y2 + 4y(x+ y)+ 2xy
B. −4y(x+ y)+ 6xy
C. −2xy+ 4y(2x+ y)
D. 8y2 −4y(x+ 3y)+ 10xy
D