Match the vocabulary word to its correct definition. 1. base the (superscript) number in an exponential expression; it tells how many times a factor is repeated 2. exponent the number which is repeated as a factor in an exponential expression
1. superscript number
2. exponential growth
3. exponential decay
In an exponential expression, the exponent (superscript) number indicates how many times the factor (i.e., the base number) is repeated. For example, the expression 2ⁿ indicates that the base number (2) is repeated n times.
The exponential growth indicates how a specific quantity increases over time, thereby the curve drawing an exponential function. The exponential growth is produced when the rate of increase of a quantity in a given time is directly proportional to the quantity itself.
The exponential decay describes how a specific quantity proportionally decreases across time, thereby showing a percentage decrease rate over time.
= 7^(½+½). [7^(½)]²
= 7¹ = 7^(2/2) = 7¹
Transformations of exponential graphs behave similarly to those of other functions. ... For instance, just as the quadratic function maintains its parabolic shape when shifted, reflected, stretched, or compressed, the exponential function also maintains its general shape regardless of the transformations applied.