Question

Math:

What’s is the asymptote of the exponential functional y=5^x + 2

Answer 1

The asymptote of the function above is y=2.

Answer 2

y=2

Explanation:

You can start by plugging in some random x values (a graph to visualize this may also be helpful). When x is 0, this equation is equal to 5^0+2=1+2=3. When x is 1, it is equal to 7, and when x is 2 it is equal to 27. However, if you start going the other way, the 5^x term starts to get closer and closer to 0. For instance, 5^-1=1/5, and 5^-2=1/25. As 5^x approaches 0, 5^x+2 approaches 2 because the function is just brought up two units. Hope this helps!