35 terms

Exponential Functions


Terms in this set (...)

In Math, it is a list of numbers that has a predictable pattern.
arithmetic sequence
A sequence in which each term is found by adding a fixed amount to the previous term
Geometric sequence
a sequence in which each term is found by multiplying the previous term by the same number
recursive formula
uses the preceding term to define the next term of the sequence
explicit formula
a formula that allows you to directly compute any term for a sequence
Constant Difference
the same result when subtracting any term to its preceding term in an arithmetic sequence. It is represented by the variable "d" in the explicit formula.
Constant Ratio
the same result when dividing any term to its preceding term in a geometric sequence. It is represented by the variable "r" in the explicit formula.
Finite Geometric Series
the sum of the first "n" terms of a geometric sequence
Linear growth
growth by equal differences over equal intervals
exponential functions
a function of the form y = a*b^x, where both a and b are greater than 0 and b is not equal to 1.
Exponential Growth
a constant rate of growth applied to a continuously growing base over a period of time
Exponential decay
An original amount is reduced by a consistent rate over a period of time.
Growth factor
the factor by which a quantity multiplies itself over time
a characteristic or constant factor
Any decrease or loss in value caused by age, wear, or market conditions, an exponential decay situation
Any increase or gain in value caused by time or market conditions, an exponential growth situation
Simple Interest
Interest earned only on the original principal amount invested
compound interest
interest calculated on both the principal and the accrued interest, an exponential growth situation
interest rate
Percentage of amount borrowed to be added to the amount loaned and paid back.
Figuring out the future value of money you will invest
average rate of change
the change in the value of a quantity divided by the elapsed time
the number of different digits or combination of digits and letters that a system of counting uses to represent numbers. For example, the most common base used today is the decimal system.
constant rate
Exponential growth
decay factor
the base (1 - r) in an exponential expression
decay rate
the rate at which an exponential function is reduced
Make something smaller (in size or quantity)
The set of input values of a function.
growth rate
Make something smaller (in size or quantity)
Make something bigger (in size or quantity)
initial value
the value where something starts
parent function
the simplest function of a family of functions. For the family of quadratic functions, y = ax2 + bx + c, the simplest function. of this form is y = x2. The "Parent" Graph: The simplest parabola is y = x2, whose graph is shown at the right.
percent rate of change
a comparison between two values expressed in hundredths.
The total amount of money borrowed (or invested), not including any interest or dividends.
The difference between the lowest and highest values. In {4, 6, 9, 3, 7} the lowest value is 3, and the highest is 9, so the range is 9 − 3 = 6. Range can also mean all the output values of a function.
Where a straight line crosses the Y axis of a graph.

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