Question

What is the asymptote of the graph of h(x)=4^x-2?

1. Y = -4
2. Y= -3
3. Y = -2
4. Y = -1

Answer 1

y= -2

Explanation:

just took the quiz :D

Answer 2

Option 3 - y=-2

Explanation:

Given : Function
`h(x)=4^x-2`

To find : What is the asymptote of the graph of function ?

Solution :

A function of the form
`f(x) = a(b^x) + c` always has a horizontal asymptote at
`y=c`.

On comparing with function
`h(x)=4^x-2`

Here, a=1, b=4 and c=-2

The equation of the horizontal asymptote is y=-2.

Therefore, option 3 is correct.