Question

Sketch the graph of the given function. Then state the function’s domain and range. y = 7(4)x

Answer 1

Answer with explanation:

The given function is

   $y=7^{4x}$

Domain of the function is defined as set of all values of x for which y is defined.

In the given function ,y is defined for all real values of x.

So, Domain of the function =R--Set of real numbers.

Range of the function is defined as set of all values of y, for which x is defined.

$y=7^{4x}\\\\ \text{Taking log on both sides}\\\\ \log y=4x \log 7\\\\x=\frac{\log y}{4 \log 7}$

⇒log y is defined for, y>0.

Range of the function will be

    =(0,∞)

     =Set of Positive real numbers

Answer 2

I Hope You Dont Mind That I Got It Off A Math Website. I Did The Extra Math Tho