Sequences
Determine if the sequence is arithmetic, geometric, or neither. If it is arithmetic, name the slope. If it is geometric, name the constant ratio.
-30, -40, -50, -60, ...
What is arithmetic sequence with a slope of -10.
Solve the equation
|3x|=9
What is +3 and -3
A ball is thrown into the air from a height of 4 feet at a time t=0. The function that models this situation is h(t) = -16t2 + 63t + 4, where t is measured in seconds and h is the height in feet.
Name the height of the ball after 2 seconds
What is 66 seconds?
The line that runs through the vertex and divides the parabola in half.
What is axis of symmetry?
Determine if the sequence is arithmetic, geometric, or neither. If it is arithmetic, name the slope. If it is geometric, name the constant ratio.
4, 16, 36, 64
What is neither?
Solve the equation
5-8|-2n|=-75
Name the vertex of y=(x+4)(x-4)
What is (0,-16)?
A quadratic function f is given by f(x) = ax2+bx+c where a is not 0.
True or false, the graph has two x-intercepts
False
A quadratic function is defined by
f(x) = (x+2)2+3
Name the new function if you were to shift this down 5 and over to the right 2
What is f(x) = x2 - 2?
Determine if the sequence is arithmetic, geometric, or neither. If it is arithmetic, name the slope. If it is geometric, name the constant ratio.
-2, -4, -8, -16
What is geometric with a constant ratio of 2
Look at the graph (Sarah will show you)
Name the x -values that make L(x) = 7
What 2 less than or equal to x and less than 6?
Name the y-intercept of the equation f(x) = (x+1)(x-5)
What is (0,-5)
A ball is thrown into the air from a height of 4 feet at a time t=0. The function that models this situation is h(t) = (-16t - 1)(t - 4), where t is measured in seconds and h is the height in feet.
Name the time that the ball hits the ground
What is t = 4 seconds?
Evaluate this expression
(6n2+5)2
36n4+60n2+25
Write the definition of this sequence recursively
2, 1/2, 1/8, 1/32, 1/128
What is
f(1), f(n) = f(n-1)*(1/4), n > or = 2
Name the x-intercepts. y=x2 - 4
What is (-2,0) and (2,0)?
An arrow is released into the air. The following function models the height, f(x), in feet, of an object x seconds after it is in the air.
f(x)=-16x2 +16x + 6
Name the maximum height the arrow reaches
What is 10 feet?
Find g(n) = 3n+2, f(n) = 2n2+5
Find g(f(2))
What is 41
Write the definition of this sequence to the nth term (explicitly).
1, 3, 9, 27, 81
What is
f(n) = 3(n-1), n > or =1
A flying disk is thrown into the air from a height of 25 feet at time t = 0. The function that models this situation is h(t) = (-16t - 5)(t - 5), where t is measured in seconds and h is the height in feet.
Name values of t (in compound inequality) best describe the times when the disk is flying in the air?
What is 0 < t < 5
Here's the graph (Sarah will post it)
Write the equation of the graph in standard form, factored form, and vertex form.
Standard form: f(x) = x2 - 2x - 8
Vertex form: f(x) = (x-1)2 -9
Factored form: f(x) = (x+2)(x-4)