Assertion : Exponential function has it's domain R(set of real numbers) Reason : Every exponential function gives finite value on R.
1) A is true , R is true ; R is correct explanation for A. (A is assertion and R is reason.
2) A is true, R is true ; R is not the correct explanation for A.
3) A is true ; R is false.
4) A is false ; R is true.
Answers
Answer:
Domain and Range of Exponential and Logarithmic Functions
Recall that the domain of a function is the set of input or xx -values for which the function is defined, while the range is the set of all the output or yy -values that the function takes.
A simple exponential function like f(x)=2xf(x)=2x has as its domain the whole real line. But its range is only the positive real numbers, y>0:f(x)y>0:f(x) never takes a negative value. Furthermore, it never actually reaches 00 , though it approaches asymptotically as xx goes to −∞−∞ .

If we replace xx with −x−x to get the equation g(x)=2−xg(x)=2−x , the graph gets reflected around the yy -axis, but the domain and range do not change:

If we put a negative sign in frontto get the equation h(x)=−2xh(x)=−2x , the graph gets reflected around the xx -axis. We still have the whole real line as our domain, but the range is now the negative numbers, y<0y<0 .

Now, consider the function f(x)=(−2)xf(x)=(−2)x . When x=12x=12 , yy must be a complex number, so things get tricky. For this lesson we will require that our bases be positive for the moment, so that we can stay in the real-valued world.
In general, the graph of the basic exponential function y=axy=ax drops from ∞∞ to 00 when 0<a<10<a<1 as xx varies from −∞−∞ to ∞∞ and rises from 00 to ∞∞ when a>1a>1 .
The exponential function y=axy=ax , can be shifted k
Answer:
option a is the correct answer