Exponential Functions
Polynomials & Factoring
Quadratic Functions
Solving Quadratic Functions
100
What is a line that a function approaches, but never touches?
asymptote
100
Write in factored form
x2-4x-12
(x+2)(x-6)
100
How does the graph of g(x)=-2x2 look compared with the parent function f(x)=x2?
opens downward and is narrower
100
Solve the quadratic using any method.
x2-4x-21=0
-3, 7
200
Identify the domain and range of
y = 2(3/4)^x
domain: set of all real numbers
range: y>0
200
Find the product and write your answer in standard form:
(x+4)(x2-3x-1)
x3+x2-13x-4
200
What is the vertex of the function f(x)=5(x+3)2_8?
(-3,-8)
200
Solve the quadratic using any method.
x2+8x+5=0
-4+sqrt11
-4-sqrt11
300
How does the graph of the function g(x)=3x-4 differ from the graph of f(x)=3x?
It is translated down 4 units.
300
Simplify the following and write your answer in standard form:
(2x2-4x-1)-(3x2+8x-4)
-x2-12x+3
300
What is the axis of symmetry of the graph of the function f(x)=-2x2+24x-10
x=6
300
Find the discriminant and determine how many solutions the function 0=x2-3x+8 has.
-23; no solutions
400
The population of a town is 10,000 and it grows at a rate of 3.5% per year. What will the population be in 15 years?
about 16,753
400
Find the product and write your answer in standard form
(5w-6)(5w+6)
25w2-36
400
Find the average rate of change from x = -1 to x = 3 for:
y=-2x^2 + x - 6
Slope between (-1, -9) and (3, -21) is -3.
400
Write a quadratic equation in standard form that has solutions of 5 and -6.
x^2+x-30 = 0
500
Write the explicit formula for the geometric sequence:
45, 135, 405, 1215, 3645
an= 45(3)n-1
500
Factor completely
21x2-35x-14
7(3x+1)(x-2)
500
The function h(t)=-16t2+160t +10 models the height, in feet, of a ball t seconds after it is thrown into the air. What is the maximum height the ball reaches after it is thrown?
410 feet
500
A,B,D