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

Question

asked Nov 9, 2018 136k views

2 Answers

Ryw · Answer 1 · 2018-11-13T21:29:57+0000

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.

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

⇒log y is defined for, y>0.

Range of the function will be

=(0,∞)

=Set of Positive real numbers