Polynomials
Multiply the polynomial: (10c+d)(10c-d)
100c2-d2
Factor the following expression: 2x2y-4xy3
2xy(x-2y2)
What is the domain and range of the function f(x)=6x2+12x+3
Domain: All real numbers
Range: y>=-3
Solve x2+7x=0 using the method of your choice.
x=0
AND
x=-7
Given y = 4(0.5)x
Write the: Growth or Decay, Domain, Range, and Asymptote
Decay
Domain: All real numbers
Range: y > 0
Asymptote: y=0
Simplify: (9x2+12x+6)+(x2+2x-10)
10x2+14x-4
Factor the following expression: 49m2-100n2
(7m-10)(7m+10)
Is the vertex of the quadratic function f(x)=-2x2+3x-9 a maximum or a minimum?
Maximum
Solve 2x2-x-6=0 using the quadratic formula.
x=2
AND
x=-3/2
The number of mosquitoes doubles every week during the summer. If the initial number of mosquitoes is 2,000, write the equation that represents the growth.
y=2000(2)x
Simplify the expression: (3p3-27p2) * (p+2)
3p4-213-54p2
2(5x-4)2
Write the quadratic function f(x) = x2+6x+14 in vertex form.
f(x) = (x+3)2+5
What is the solution to the equation: x2+3x+7 = 0
A. (x-1)(x+4)
B. No solutions
C. (x+7)(x+3)
D. (x-3)(x+7)
B. No solutions
The number of bobcats in Plano has been growing over the years. The local animal control services estimated the growth can be modeled by the function: f(x) = 3000(2)x, what can we say about the rate of increase?
A. The number of bobcats is multiplying by 3000 each month
B. The number of bobcats is dividing by 2 each month
C. The number of bobcats is multiplying by 9000 each month
D. The number of bobcats is doubling each month
D
Find the perimeter of a rectangle with a length of (6x-10) cm and a width of (4x+3) cm.
20x-14 cm.
Factor the following expression: 5x2-20x+15
5(x-1)(x-3)
What quadratic function in vertex form can be represented by the graph that has a vertex at (3, -7) and passes through the point (1,-10)?
f(x) = -3/4(x-3)2-7
Find the equation of the quadratic function with the given roots and passing through the given point:
Roots are x=-1 and x=5
It passes through the point (0,10)
-2x2+8x+10
What type of function best represents the data?
(0,-3),(1,-9),(2,-27),(3,-81),(4,-243)
Write the function and its equation for your answer choice.
exponential, y=-3(3)x
Simplify the expression: (2ab-3) * (5a-2b4)-1
2a3/5b7
The dimensions of a tablet screen can be modeled by the equation x2-13x+40 square cm. What are the dimensions of the tablet?
Width: (x-5) cm
Length: (x-8) cm
----------OR----------
Width: (x-8) cm
Length: (x-5) cm
The graph of f(x) = x2 was transformed to create the graph of g(x). If g(x) = -0.5, which of the following effects regarding the graph of g(x) are true?
A. The graph of g(x) is 0.5 units below the graph of f(x)
B. The vertex of the graph of g(x) is the same vertex as the vertex of f(x)
C. The roots of g(x) are shifted 4 units to the left of those of f(x)
D. The y-intercept of the graph of g(x) is higher than the graph of f(x).
B
Find the equation of the quadratic function with the given roots and passing through the given point:
Only one root x=-3
Passing through (0,18)
2x2+12x+18
Which function best represents the data?
(0,-5),(1,-4),(2,-1),(3,4),(4,11)
f(x)=x2-5