0,1,2,3,4,5...
Let an be an arithmetic sequence.
If a3 = 7 and a8 = 17, find a11.
23
Write the limit statement for the end behavior of the following function:
f(x) = -2(5)x
The limit as x approaches negative infinity of f(x) is 0.
The limit as x approaches positive infinity of f(x) is negative infinity.
What is the inverse of the function
f(x) = (3x3 - 4)/x3
y = [-4/(x-3)]1/3
Rewrite the following equation in the equivalent general form y=abx.
f(x) = gx-1
f(x) = (1/5)5x
Who is blue hedgehog?
Sonic
Let gn be a geometric sequence.
If g4 = -12 and g7 = 32/9, find g6.
-16/3
Write the limit state for the end behavior of the following function:
f(x)= -2(2)-x
The limit as x approaches negative infinity of f(x) is negative infinity.
The limit as x approaches positive infinity of f(x) is 0.
Does the function y = x2 have an inverse?
Justify your answer.
No
It does not pass the horizontal line test
It is not one-to-one.
It is not strictly increasing or decreasing.
Any one of these justifications is valid.
The function g(x) = 4*2(x+3) is given.
Rewrite g(x) in the equivalent form of y=abx.
g(x) = 32*2x
How many wheels are there on a Formula 1 car?
4
For an arithmetic sequence an, a3 = 3 and a6 = 24.
What is the value of a10 - a8?
14
The following equation, f(x), has the form abx.
If f(x) is concave down, what can we say about a and x.
The functions f and g are given by f(x) = 1/x and
g(x) = x1/2.
What is the domain of f(g(x))?
All real #'s greater than 0.
The function h(x) = 3(x+2) contains a horizontal dilation. Rewrite the function such that h(x) has a vertical dilation.
h(x) = 9 * 3x
True or False:
Australia's east to west distance is wider than the diameter of the moon.
True: The moon as a diameter of 3400km while Australia's diameter east to west is almost 4000km.
The fifth term of a geometric sequence is 25 and the sixth is 48, what is the value of the tenth term?
768
Concave up or down? Increasing or decreasing?
f(x) = 2(pi/3)x
a>0 and b>0; exponential growth
concave up and increasing
The functions f and g are given by f(x) = x4 + 1 and g(x) = x - 1.
What is f(g(x))?
Expand fully.
x4 - 4x3 + 6x2 - 4x + 2
Rewrite f(x) into y=abx form.
f(x) = 3(2)3-x
f(x) = 24(1/2)x
How many 3 pointers has shaq made?
1
A ball is dropped from a height of 10 feet. The ball repeatedly bounces, and the maximum height of the ball after each bounce is 20% less than the previous maximum height. Which type of sequence should one use to accurately measure the height at each bounce?
Geometric; each bounce is 80% the height of the previous which means the previous bounce is multiplied by .8 to get to the next.
A colony of bacteria started out with a population of 5. Each bacteria splits into 3 every hour. Write an equation, b(t), that represents the population of the bacteria colony at any given hour.
b(t) = 5(3)t
Given a function f(x) and its inverse f-1(x).
What is f(f-1(e))?
e
Rewrite an equivalent expression for f(x) in y=abx form.
f(x) = 812(27)-x+2
f(x) = (314)(1/27)x
Distance to the moon in km.
356,000 to 407,000 km