Answer with Explanation:
The points when plotted on two dimensional plane, forms a continuous exponential function curve
x 0 1 2 3
y 4 5 6.25 7.8125
If you plot the points on the coordinate plane and try to find the exponential function,the function can be written as
[tex]y=4 e^{\frac{x}{4.50}}[/tex]
Domain of a function is defined as set of x values ,for which y is defined.
For,every real value of x , y is defined.
→Domain = Set of real numbers=(-∞,∞)
Range of a function is defined as set of y values ,for which x is defined.
[tex]e^{\frac{x}{4.50}=\frac{y}{4}}\\\ \frac{x}{4.5}=\log\frac{y}{4}\\\\ x=4.5\log\frac{y}{4}[/tex]
Log of any function is defined for , positive real numbers that is numbers between 0 to ∞.
→Range =(0,∞).
So,→ domain of the function is Set of Real numbers and Range is y>0.
None of the option among four options is true.
