Polynomial and Rational Functions
What type of angle measures more than 0° but less than 90°?
Obtuse angle
Right angle
Straight angle
Acute angle
For modeling the depreciation of a car’s value over time assuming constant annual decrease, which type of mathematical model is most appropriate?
Linear function
Exponential decay model
Power model
Sinusoidal model
Which type of model best describes a scenario where the cooling temperature of a cup of coffee in a room is proportional to the difference between the coffee's temperature and room temperature?
Linear decay model
Quadratic model
Logarithmic model
Exponential decay model
Which of the following functions is continuous at ?
f(x) = x^2
Which type of function is guaranteed to have continuity across its entire domain?
Rational function
Piecewise function
Polynomial function
Trigonometric function
In a proportional relationship where is multiplied by a constant to equal between two variables and , what is the constant referred to as in this context of a proportionality constant?
The dependent variable
The independent variable
The exponential base
The coefficient of function
Given a multi-phase project where each phase can be modeled by either a linear, quadratic, or exponential function, which function type would be best to model the diminishing returns in productivity over time as employees become fatigued?
Exponential growth function
Linear function
Quadratic function
Exponential decay function

How are we doing?
Give us your feedback and let us know how we can improve
If a horizontal line intersects a graph more than once, what property does the graph lack?
Continuity across its domain
Differentiability at all points on the curve
It lacks being a one-to-one function (injectivity)
Symmetry about the y-axis or origin
When analyzing near , what type of discontinuity should students expect to find?
No discontinuity as logarithmic functions are continuous over their domain by definition.
Infinite discontinuity due to the vertical asymptote on one side of .
Jump discontinuity since there's a gap in function values around .
Removable discontinuity since is not defined at but can be made continuous by redefining .
If function has an inverse denoted by and the point lies on the graph of , which point must lie on the graph of ?
(-3, -7)
(-7, -3)
(3, -7)
(7, 3)