Question

Several ordered pairs from a continuous exponential function are shown in the table. what are the domain and range of function?

Answer 1

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

 $y=4 e^{\frac{x}{4.50}}$

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.

$e^{\frac{x}{4.50}=\frac{y}{4}}\\\ \frac{x}{4.5}=\log\frac{y}{4}\\\\ x=4.5\log\frac{y}{4}$

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.

Answer 2

the answer is b......