Polynomials
-2x2(x-y3)
-2x3+2x2y3
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 are the zeros of the polynomial expression whose factored form is (3x − 3)(x − 6)?
1 and 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 vertex of following function in:
f(x) = (x-3)2 + 7
Q1
Find the solutions of x2 - 14x + 49
x=7
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
What is a value for x that would result in Set A not being a function?
A: {2, x, 6, 8, 10}
any numbers except 2, 6, 8, and 10
Which of the following functions has a positive y-intercept?
f(x) = -(x - 3)2 + 7
f(x) = -(x + 5) + 1
f(x) = (x + 7)(x - 7)
f(x) = -(x - 3)2 + 7
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?
f(x) = x2 + 4
f(x) = x2 − 4x − 12
f(x) = x2 + 4x + 4
f(x) = x2 + x − 6
f(x) = x2 − 3x + 2
D and E
What is the x-intercept of the graph
f(x)=(x-3)3(x+7)2(x2+4)?
(3,0)
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
Larissa plans to bake at most 10 loaves of bread. She makes x loaves of banana bread that sell for $1.25 each and y loaves of nut bread that sell for $1.50 each. She hopes to make at least $24 in sales. Write and graph a system of inequalities for this situation.
x + y ≤ 10
1.25x + 1.50 y ≥ 24
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
The cost to rent a bike is $26 for the first day plus $2 for each day after that. Write an explicit formula for the rental cost for n days. What is the cost of renting the bike for 8 days?
an = 26 + 2n
Given the function 8x − 6y = 24, which two statements about this function are true?
The x-intercept of the function is (0, 3).
The x-intercept of the function is (3, 0).
The y-intercept of the function is (0, -4).
The slope is -4/3.
The slope is 3/4.
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
Allie is playing basketball. She takes a shot 24 ft away from the basket. When the ball is 4 ft away from her, it is at a height of 10 ft above the floor. The ball reaches its highest height of 18 ft above the floor, when it is 12 feet away from her?
a. Find the value of a?
b.If the hoop is 10 ft high, how close would Allie have to be to make the basket?
a) -1/8
b) 20 ft