Answered

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Consider the graph of the function f(x)=(1/4)^x. Which statements describe key features of function f?

horizontal asymptote of y = 2
interceptat (3,0)
horizontal asymptote of y = 0
range of {10 domain of{s| -1 <<00}
intercept at (0,1)

Sagot :

Answer: Asymptote at y=0; range of 0,infinity; y-intercept of (0,1)

Step-by-step explanation:

facundo3141592

By analyzing the graph of the rational function, we can see that the only true option is:

"Horizontal asymptote at y = 0".

Analyzing the graph of the function:

The graph of f(x) = (1/x)^4 can be seen below. On the graph, you can see that we have 2 vertical asymptotes at x = 0, such that both tend to infinity.

We also can see that there are two horizontal asymptotes that tend to y = 0.

Finally, because we have asymptotes at x = 0, there is no y-intercept.

With all that in mind, the only true option is:

"horizontal asymptote of y = 0"

If you want to learn more about rational functions, you can read:

https://brainly.com/question/1851758

View image facundo3141592
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