Polynomial & Rational Functions
For f(x)=(x+2)^3(x+1)(x+4), this is the degree of the polynomial.
What is 5?
The inverse of an exponential function.
What is a logarithmic function?
The inverse of an logarithmic function.
What is an exponential function?
The reciprocal of cosine.
What is secant?
In polar coordinates, this variable represents the angle.
What is θ?
For f(x) = 3x^3 - 4x^2 - 5, this is the limit as x approaches infinity.
What is: lim f(x) = ♾️ ?
x → ♾️
For f(x)=7(0.6)^x, this type of exponential function is represented.
What is exponential decay?
Evaluate: log10(100)
What is 2?
y = 2cos(3x), this is the period.
What is (2pi)/3?
For r = 3, this shape is formed.
What is a circle?
For f(x)= (x+1)/(x+5), this is the vertical asymptote.
What is x = 5?
In f(x)=4(2)^(x-3), this is the transformation of the graph.
What is a horizontal shift right 3 units?
Evaluate: ln(e^10)
What is 10?
The range of y=arctan(x).
What is (-pi/2, pi/2)
In polar coordinates, this variable represents the distance from the pole.
What is r?
A polynomial of degree 5 has at least 3 non-real zeros. This is the number of real zeros it must have.
What is 1?
In f(x)=2(3)^x, this value represents the amount when x=4.
What is 162?
Rewrite using a logarithmic property:
log(x/yz)
What is log(x)-log(y)-log(z)?
cos^2 (x) − 1 is equivalent to this expression.
What is −sin^2 (x)?
For r = cos(6θ), this is the number of petals in the rose curve.
What is 12?
For a rational function where the degree of the numerator is exactly one more than the denominator, this type of asymptote exists.
What is a slant asymptote?
Rewrite in exponential form:
x = log3(81)
What is 3^x=81?
Rewrite in logarithmic form:
5^x=125
What is x = log5(125)
This trig identity is equivalent to 1 − 2sin^2(θ)
What is cos(2θ)?
The type of polar graph formed by
r = 2 + cos(θ)
What is a limaçon?