What are the domain, range, and asymptote of h(x) = 2x + 4? domain: {x | x > 0}; range: {y | y is a real number}; asymptote: y = 0 domain: {x | x > –4}; range: {y | y is a real number}; asymptote: y = –4 domain: {x | x is a real number}; range: {y | y > 0}; asymptote: y = 0 domain: {x | x is a real number}; range: {y | y > 0}; asymptote: y = –4

Option 3 is correct.

y=0 is the asymptote.  

Step-by-step explanation:

Given : The function

To find : The domain, range, and asymptote of the given function.

Solution :

The given function is an exponential function.

Domain is where the function is defined.

Therefore,

The range is the set of values that correspond with the domain.

At x tends to function tends to zero.

At x tends to function tends to  

Therefore,

Exponential functions have a horizontal asymptote.

The equation of the horizontal asymptote is  y=0.

Therefore, Option 3 is correct.

Consider the function First, note that parent function has

The graph of the function can be obtained from the parent function using translation 4 units to the left. This translation doesn't change the domain, the range and the asymptote of the parent function.

correct choice is C

a negative exponent is translated as follows:

so, we have