Polynomial Functions
The highest exponent of its variable(s) in any single term.
What is the degree of a polynomial?
Occurs when a function is not continuous.
What is discontinuity?
The horizontal distance required for the function's graph to complete one full cycle of its repeating pattern.
What is the period?
The common logarithm
What is log10?
A geometric transformation that "flips" point across a specific line
What is a reflection?
An x-value where the function equals zero.
What is a zero?
An asymptote on an angle or slant
What is an oblique asymptote?
This is the distance from the midline to the maximum of a sinusoidal graph.
What is amplitude?
This logarithm has base 10.
What is a common logarithm?
A transformation that pulls a graph's coordinates further away from the x-axis, making it appear taller or narrower.
What is a vertical stretch?
Describes the direction that the graph of a function takes as the input (x) gets larger in the positive direction (x → ∞) or larger in the negative direction (x → -∞)
What is an end behavior?
A line the graph approaches when x makes the denominator zero.
What is a vertical asymptote?
The horizontal shift of a graph.
What is the phase shift?
A function that increases by a constant percent over equal time intervals.
What is exponential growth?
In y=asin(k(x−d))+cy=asin(k(x−d))+c, what does each parameter do?
a: amplitude and reflection, k: period, d: horizontal shift, c: vertical shift.
A rule in algebra that connects the roots of a polynomial with its factors.
What is the Factor Theorem?
A common factor that cancels from both the numerator and denominator.
What is a hole?
The horizontal line halfway between the maximum and minimum values.
What is the midline?
A logarithm function
What is the inverse of an exponential function?
The equation y=3sin(4x)−2 has this period, which determines how quickly the graph repeats.
What is π/2?
The number of times a factor is repeated.
What is multiplicity?
All real numbers except the values that make the denominator equal to zero.
What is domain?
An acute angle between 0-90 degrees that helps evaluate numbers in trigonometry.
What is a reference angle?
logb(MN)=logb(M)+logb(N)
What is the inverse of an exponential function?
Squeezes a function's graph horizontally toward the y-axis.
What is horizontal compression?