MSN: What does a exponential graph look like and what are the transformations
👉 Learn all about graphing exponential functions. An exponential function is a function whose value increases rapidly. To graph an exponential function, it is usually useful to first graph the parent ...
What does a exponential graph look like and what are the transformations
Description: 👉 Learn how to graph exponential functions involving horizontal shift. An exponential function is a function that increases rapidly as the value of x increases. To graph an exponential ...
- The following are exponential forms of some numbers? 10,000 = 10 4 (read as 10 raised to 4) 243 = 3 5, 128 = 2 7. Here, 10, 3 and 2 are the bases, whereas 4, 5 and 7 are their respective exponents. We also say, 10,000 is the 4th power of 10, 243 is the 5th power of 3, etc. 3. Numbers in exponential form obey certain laws, which are:
It is advised that the reader plots this graph for particular values of b like 2, 3 and 4. Following are some of the salient features of the exponential functions: (1) Domain of the exponential function is R, the set of all real numbers. (2) Range of the exponential function is the set of all positive real numbers.
Remark The exponential series involving variable x can be expressed as Example 3 Find the coefficient of x2 in the expansion of e2x+3 as a series in powers of x. Solution In the exponential series = replacing x by (2x + 3), we get = Here, the general term is = . This can be expanded by the Binomial Theorem as Here, the coefficient of x2 is .