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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

2 Answers

7 votes

Answer:

y= -2

Explanation:

just took the quiz :D

What is the asymptote of the graph of h(x)=4^x-2? 1. Y = -4 2. Y= -3 3. Y = -2 4. Y-example-1
User TykiMikk
by
8.3k points
5 votes

Answer:

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.

User CaKa
by
7.9k points

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