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

Answer:

Option 3 - y=-2

Step-by-step 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.

Answer 2

Answer:

y= -2

Step-by-step explanation:

just took the quiz :D