Condense/Expand Logs
1/2 log2k + 5 log2 m
log2 (sqrt k x m5)
ln (4) + ln(x2) = 4
{e2/2, -e2/2}
Using composition of function, are the following inverses of each other?
f(x) = (cuberoot (x-1)) +6
g(x) = (x-6)3 + 1
Yes, they are inverses
Using the following data, identify the 5-number summary: 67, 52, 54, 57, 61, 61, 69, 63, 57, 60, 50
min:50, Q1:54, median:60, Q3:63, max:69
What is the y-intercept of f(x) = -3(2)x-2 +1
(0, 0.25)
log (cuberoot p / p2)
1/3 log p - 2 log p
log5 (4k+8) = log5 (5k-10)
k = 18
Find inverse of f(x) = 2x-9 + 7
f-1(x) = log2 (x-7) +9
Which data points could be considered an outlier:
10, 2, 19, 10, 7, 8, 7, 16, 11
Q1 - (1.5)(IQR) and Q3 + (1.5)(IQR)
2
What is the x-intercept of f(x) = 2log3(x-1) + 3
(1.192, 0)
1/3 log2 a - 4 log2 b
log2 (cuberoot a/b4)
log2 ($ + 5) = 2
$ = -1
Find inverse of f(x) = log2(x+3) - 5
f-1(x) = 2x+5 -3
What is the upper quartile of the following:
58, 72, 74, 92, 84, 40, 74, 81, 76, 83
83
What is the asymptote for the following (HA or VA, be specific):
y = log3(x+1) - 4
VA x= -1
log (11s / tu3)
log 11 + log s - log t - 3 log u
log2 (x) + log2 (x-2) = log2 (8)
x = 4
Find inverse of f(x) = (x-11)3 + 5
f-1(x) = (cuberoot (x-5)) +11
Given a box plot with the following information, the lower 75% of data is below what number?
min: 65, Q1: 75, Q2: 95, Q3: 125, max: 135
125
What is the asymptote for the following (HA or VA, be specific):
y = 4x-2 +3
HA y = 3
9 log5 x - 1/3 log5 y
log5 (x9 / cuberoot y)
log4 10 - log4 (-5x) = 2
x = -1/8
Find inverse of
f(x) = (cuberoot (x-6)) +12
f-1(x) = (x-12)3 +6
What is the interquartile range based on the 5-number summary:
min: 38, Q1: 46, Q2: 58, Q3: 62, max 66
IQR = 16
What is the Domain and Range when there is an exponential graph going towards Quadrant 1 with an asymptote of y = 1?
Domain (-infinity, +infinity); Range (1, +infinity)