Unit 2 - Using Functions
If Q = f(t), then this is the set of input values, t, which yield an output value.
domain
A famous irrational number, also known as the natural base. Its value is 2.718281828459045...
The number e.
Another way to say "translation". A transformation in which the graph of a function is moved to another location without any change in size or orientation in the xy plane.
shift
A unitless measure of an angle, which cuts off an arc length of one in a unit circle.
radian
A sequence in which there is a common difference between pairs of successive terms.
arithmetic sequence
To calculate the value of a function's output from a particular value of the input.
evaluate
Exponential change where b > 1. Growth of a system in which the amount being added to the system is proportional to the amount already present: the bigger the system is, the greater the increase.
exponential growth
A change to the input values of a function.
inside change
The vertical distance between the function's maximum (or minimum) value and the midline.
amplitude
A sequence or series will do this if its terms or partial sums approach a finite value (approach a limit).
converge
A function whose rate of change decreases (gets less positive or more negative) as we move left to right. The graph of the function bends downward.
concave down
A parameter that represents the first amount of a quantity before exponential change takes place.
initial value
A transformation which moves each point on a graph horizontally closer to the y-axis by multiplying the input by a factor greater than one.
horizontal compression
The reciprocal of the sine function
cosecant function
The number (usually "i") that is incremented by 1 for each successive term in a series.
index
To state the meaning of something; explaining it in detail using complete sentences.
interpret
The amount of money held in an account
balance
A function that is symmetric about the y-axis.
even symmetry
The number of cycles in one unit of time. Also, the inverse of the period.
frequency
The sum of the first "n" terms of a sequence.
nth partial sum
A function which is defined not by a single equation or relationship, but by two or more.
piecewise function
The interest rate that is actually earned on an investment due to compounding over a given time period.
effective rate
A function that is symmetric about the origin.
odd symmetry
A general term for any transformation of the sine and cosine functions.
sinusoidal function
A sequence whose terms alternate in sign (ex: positive to negative to positive....)
alternating sequence