Polynomials
The domain of f(x)=x^6+4x^5+x-1 ?
What is (-\infty, \infty) or all real numbers?
This is a function of the form p(x)/q(x), where p(x) and q(x) are both polynomials.
What is a rational function?
The answer to
\log_{3}(9)
What is 2?
Opposite / hypotenuse
What is sine?
It is defined as the set of all points where the sum of distances to two fixed points (called foci) is constant.
What is an ellipse?
The zeros of f(x)=x^2-7x+10
What are x=5 and x=2?
The discontinuities of
f(x) = \frac{1}{x^2-5x+4}
What are x=1 and x=4?
Expand
log(xy).
log(x)+log(y)
tan(45^\circ)
What is 1?
The shape of
\frac{x^2}{4}-\frac{y^2}{25}=1
What is a hyperbola?
The multiplicity of the zero x=5 for f(x)=2(x-1)^2(x+1)(x-5)^4 .
What is 4?
The hole of
f(x)=\frac{x-2}{(x-2)(x-3))
What is x=2?
Expand
log (x^6y^2)
6log(x)+2log(y)
\frac{sin x}{cos x} =...
What is tan(x)?
The focus and directrix of
16y=x^2
Focus: (0,4)
Directrix: y=-4
The graph of a polynomial bounces off the x-axis at a zero with ______.
What is even multiplicity?
The vertical asymptote of f(x) = \frac{x-3}{(x+2)(x-3)}
What is x=-2?
The log form of
4^x=6
What is
log_4(6)=x
sin(x) -> odd
cos(x) -> even
The length of the semi-x axis of
\frac{(x-3)^2}{100}+\frac{(x-4)^2}{25}=1
What is 10?
The graph of f(x)=x^5+3x^4 crosses the x-axis at least this many times.
What is once?
The horizontal asymptote of
f(x)=\frac{6x^2+x+3}{2x^2+1}
What is y=3?
Solve log_{5}(125)=2x-1
x=2
The period of
f(x)=cos(4x) + 1
What is pi/2?
The asymptotes of
x^2 - \frac{y^2}{4} = 1
What are y=2x and y=-2x?