Question

What are the domain and range of the exponential function f(x)=ab^x where b is a positive real number not equal to 1 and a>0?

Answer 1

Answer:

the answer is C

Step-by-step explanation:

Answer 2

For this case we have a function of the form:

$y = f (x)$

Where $f (x) = ab ^ x$

The domain of that function is given by all the values that x can take.

If b is a positive real number other than 1 and a> 0, we have that the domain of f (x) is given by (-∞,∞). x can take any value.

On the other hand, the range is given by the dependent values of the variable "y".

IF we evaluate f (-∞) then y tends to zero.

If we evaluate f (∞) then y tends to infinity.

Thus, the range is: (0, ∞)

So, we have:

Domain: (-∞,∞)

Range: (0, ∞)

Answer:

Option C