Answered

From beginner to expert, IDNLearn.com has answers for everyone. Get the information you need from our community of experts who provide accurate and thorough answers to all your questions.

Pre-calc, Which statement correctly uses limits to determine a vertical asymptote of _____ (image attached)

Precalc Which Statement Correctly Uses Limits To Determine A Vertical Asymptote Of Image Attached class=

Sagot :

Answer:

Option D

Step-by-step explanation:

Given the function [tex]g(x)=\frac{-7(x-5)^2(x+6)}{(x-5)(x+5)}[/tex], we see that [tex](x-5)[/tex] appears in both the numerator and denominator which cancel out to be [tex]\frac{-7(x-5)(x+6)}{(x+5)}[/tex]. This means that there's a vertical asymptote at [tex]x=-5[/tex] for the denominator to be 0.

Additionally, the limit of the function g(x) as x approaches -5 from the left side is -∞. The limit of the function g(x) as x approaches -5 from the right side is ∞. See the attached graph for a visual of these limits.

In conclusion, option D is correct.

View image Goddessboi
Thank you for participating in our discussion. We value every contribution. Keep sharing knowledge and helping others find the answers they need. Let's create a dynamic and informative learning environment together. IDNLearn.com is your go-to source for accurate answers. Thanks for stopping by, and come back for more helpful information.