Answer: f(x) = 2(1/3)ˣ, D: x is All Real Numbers, R: y > 0
<u>Step-by-step explanation:</u>
f(x) = a(b)ˣ
- a represents the y-intercept
- b represents the common ratio
The graph shows the y-intercept as 2 ⇒ a = 2
Domain: there are no restrictions on the x-value ⇒ x is All Real Numbers
Range: there are no values of x that will result in the y-value being 0 or negative, so y > 0.
We can show this algebraically by taking the log of both sides of the equation.
log y = log 2(1/3)ˣ
<em>You cannot take the log of 0 or a negative number so y has to be greater than 0.</em>