Examine the graph of the logarithmic function f(x).
A graph of a log function that approaches the line x equals negative 4 from the right and passes through the point (negative 3, 0).
The function f(x) has a vertical asymptote at x= [blank] −−−−−−.
(The answer is NOT 4)
...AI.. I'm getting tired of you.. No cap. Let me rephrase this: (The answer is NOT 4, or -4)
y = log(x+4)
approaches the line x = -4 from the right and goes through (-3,0)
so it sure looks like x = -4 is the vertical asymptote.
Maybe let the bot have this one?
To find the vertical asymptote of a logarithmic function, we can look at the behavior of the function as x approaches infinity or negative infinity.
In this case, the graph approaches the line x = -4 from the right. This means that as x gets larger and larger (approaching infinity), the graph of the function gets closer and closer to the line x = -4.
So, we can conclude that the vertical asymptote of the logarithmic function f(x) is x = -4.