Pythagoras
Given the sequence {15, 5, 5/3, 5/9, 5/27}, identify the type of sequence.
What is geometric?
The term for a sequence with a common difference or constant rate of change
What is an Arithmetic Sequence?
The logarithm log381=4 as an exponent
What is 34=81?
Evaluate log232
What is 5?
Find the equation of the inverse in terms of x:
f(x)=ex+7-3
What is f-1(x)=ln(x+3)-7?
Suppose that $450 is deposited in a bank account that earns 8.2% interest compounded annually. State the balance in the account after 2 years.
What is $526. 8258?
The function f(x) = 2(0.6)x shows exponential ______.
What is exponential decay?
The logarithmic function in expanded form log(4x2y).
What is log4+2logx+logy?
Express log5(x/y)1/3 in terms of log5x and log5y.
What is (1/3)[log5x-log5y]?
Find the value of x if log3(x2+5)=2
What is 2 and -2?
Given the exponential function g(x)=81, state the factor of the horizontal dilation of g(x) if its parent function is g(x)=3x
What is a horizontal shrink of 1/4?
A function that models the scenario, 900 grams of radioactive material m decays at a rate of 2.6% per year t.
What is 900(97.4)^t?
The equation as a single logarithm 2log3x-4log3y
What is log3x^2/y^4?
The amount of a 20 mg dose of a medicinal drug remaining in the bloodstream falls continuously at an exponential rate. After 2 hours, 17 mg remain in the bloodstream. Find, to the nearest tenth, how much time is required for at least half of the original dose to leave the bloodstream.
What is 8.5 hours?
What is (x2-4)1/2+4?
If the first term of a geometric sequence is 36 and the fifth term is 64/9, what could be the 6th term of the sequence?
What is 128/7 or -128/7?
f(x)=x^2-4 and g(x)=3-x. f(g(5)) is this.
What is 0?
The domain, range and asymptotes of the function f(x)=ln(4-x)+2
What is Asymptote:x=4, Domain:(-∞,4), Range:(-∞, ∞)?
What values of x satisfy the inequality
log2(2x+3)<log2(3x)
What is 0 < x < 3?
Express the following ln(2x3/y1/2) in terms of x and y.
What is ln2 + 3lnx - (1/2)lny?
If a>0, b>1, and c<0, evaluate the limit of the function as x increases without bounds of f(x)=abcx
What is 0?
The inverse function and domain and range of the inverse. f(x)=(x-3)1/2+2
What is f-1(x) =(x-2)2 +3, Domain x>=2, Range y>=3?
The inverse of the function g(x)=ln(2x+3)+10
What is g-1(x) = (ex-10-3)/2
Let f(x)= (2x+3)1/2 and g(x)=2x/(6x-1). Define g(f(3)).
What is 6/17 or 0.3529?
The function f(x) = ln(3x-2)+6 and g(x)=3f(x+2)-12. What is the vertical shift of g and the vertical asymptote of the function?
What is a vertical shift of 6 units up and a vertical asymptote at x=-4/3?