Question

Select the correct statement for the graph of the function $f\left(x\right)=4^x.$

• A. Domain $x\in R$
• B. Range $f\left(x\right)\in (0,\infty )$
• C. Range $f\left(x\right)\in [0,\infty )$
• D. $f\left(x\right)\to -\infty \text{as}x\to \infty$

Answer 1

Answer: (A), (B)

Range $f\left(x\right)\in (0,\infty )$

Given: $f\left(x\right)=4^x$
We can draw the graph of the function as:

Clearly, Domain of $f\left(x\right)$ will be the set of all real numbers.
Range $f\left(x\right)\in (0,\infty )$
Also, for $x\to \infty ,f\left(x\right)\to \infty$