Show:
Questions
Responses
Print
Exponential and Logarithmic Functions
Rational Equations and Functions
Trigonometric Ratios and Functions
Sequences and Series
Potpourri
100
This is the base of the common logarithm.
What is 10?
100
These are the vertical and horizontal asymptotes of the function y = (4-3x)/(2x-1).
What is x = 1/2 and y = -3/2?
100
In a right triangle, if a side with length 11 is across from a 60 degree angle, then the length of the hypotenuse is this.
What is 22
√
3
/3?
100
The first 4 terms of the sequence where a
1
= -2 and a
n
= 5 - 2a
n-1
?
What is -2, 9, -13, 31?
100
The hypotenuse of a right triangle with side lengths 3 and 4 is this.
What is 5?
200
In order to solve an equation with a variable in the exponent, you must do this.
What is take the log of both sides of the equation?
200
This is the sum of (3x+4)/(x
2
-25) and 2/(x+5).
What is (5x-6)/(x
2
-25)?
200
-130 degrees converted to radians is this.
What is -13π/18?
200
The fraction in the simplest form that corresponds to the repeating decimal 0.072072072072...
What is 8/111?
200
The evaluation of f(x) =
2x (if x <= 0)
x
2
(if 0 < x <= 1)
(x-2) (if x > 1)
at x=11.
What is 9?
300
When log 2 + 3 log x - log y is condensed it becomes this.
What is log (2x
3
/y)?
300
This is the difference of (4x-5)/(x
2
-36) and 3/(x+6).
What is (x+13)/(x
2
-36)?
300
The tan (-5π/4) is this.
What is -1?
300
A number that represents a counterexample that disproves (1/2)n < 1
n
What is any number greater or equal to 2?
300
The inverse of f(x) = (2x)/3 is this.
What is y = (3/2)x?
400
When 4
2x+3
= 64
3x-5
is solved for x, the solution is this.
What is 18/7?
400
When -3/(x-2) = 1 - (12/(x
2
-4)) is solved for x, the solution is this.
What is -5?
400
If tan x = -5/12 in the second quadrant, then sin x is equal to this.
What is 5/13?
400
The evaluation of Σ(2)
k-1
, where k goes from 1 to 4.
What is 15?
400
The reference angle associated with -185 degrees.
What is 5 degrees?
500
When log(4x
3
y
2
/z
5
) is expanded, it becomes this.
What is log 4 + 3 log x +2 log y - 5 log z?
500
When the complex fraction (3/(x+1)-4/x)/(4/(x+1)+3/x) is simplified, it simplifies to this.
What is (-x-4)/(7x+3)?
500
This is the value of the tan(-4п/3), using the unit circle.
What is -√3?
500
The geometric mean of 4 and 16.
What is ±8?
500
The evaluation of g(f(x)), where f(x) = x+4 and g(x) = 7x.
What is 7x + 28?