Domain/Range
The set of all input values of a function.
What is domain?
For f(x)= x2+2x, what is f(-2)?
f(-2)=0
What is the equation for the vertical asymptote of
f(x)=1/x
?
x=0
What are the transformations from f(x)=x^2 to g(x)=(x-3)^2+2
Horizontal shift (translation) right 3 and a vertical shift (translation) up 2.
What does USB stand for?
Universal Serial Bus
What is the range of y=x2?
{y|y>=0}
For
f(x) = 1/x+3
, what is f(0)?
Undefined
What is the equation for the vertical asymptote of
f(x)=(3-x)/(x+5)
x=-5
What would the simplified result be of transforming f(x)=1/x with a vertical stretch by a factor of 2 followed by a shift up 1 and left 3?
g(x)=2/(x+3)+1
How can you make "SIX" into an odd number?
Remove the letter S, IX is the roman numeral for 9.
What is the domain of
f(x)=1/(x-3)
?
{x|x!=3}
If f(x) = 1/(x-3)+1 , what x value makes f(x) = -3?
11/4, 2 3/4, or 2.75
What is the equation for the horizontal asymptote of
f(x)=-(3-x)/(x+5)
y=1
What is the result of f(x)=1/x translated left 1 and up 2, followed by a reflection in the y-axis? Leave your answer in the form g(x)=(ax+b)/(cx+d)
g(x)=(2x-3)/(x-1)
Barber X states that he shaves all, and only, men in his town that don't shave themselves. Why is this paradoxical?
If barber X shaves himself, then he is shaving someone in the town that also shaves themselves. Which contradicts him only shaving men that don't shave themselves.
If barber X doesn't shave himself, then he is a man in his town that doesn't shave himself but is not shaved by the barber (himself).
Thus, in either case for his shaving of himself we get a contradiction.
What is the range of
y=sqrt(x-3)+1
{y|y>=1}
Let
f(x)=2x-3
and
g(x)=-x+1
Find
f(g(-3))
5
Describe the behavior of the function as it approaches it's vertical asymptote from the right (positive or larger) side.
f(x)=-(3-x)/(x+5)
f(x) approaches negative infinity.
What is the result of f(x)=2x^2-x+4 being horizontally stretched by a scale factor of 3, followed by a reflection in the x-axis? Leave answer in standard form.
g(x)=-2/9x^2+1/3x-4
In 1990, a person is 15 years old. In 1995, that same person is 10 years old. How can this be?
1990 BCE to 1995 BCE is going backwards in time. 1995 BCE is before 1990 BCE.
What is the range of
f(x) = (2x+7)/(x+3)
?
{y|y!=2}
Let
f(x)=-sqrt(3-x)+7
Find
f^-1(5)
-1
What is the equation of the vertical asymptote for f composed with g of x?
f(x)=(x+2)/(x-5)
g(x)=sqrt(3-x)+1
x=-13
What is the domain, range, vertical asymptote and horizontal asymptote of f(x)=1/x when it is translated left 1 and up 2, followed by a reflection in the y-axis?
Domain:
{x|x!=1}
Range:
{y|y!=2}
V.A.: x = 1 H.A.: y = 2
Kant's Categorical Imperative states that one should act only according to that ________ whereby you can at the same time will that it should become a universal law.
Maxim