𝑓(𝑥)=(6𝑥−5)(𝑥+5)(−5𝑥−3)(5𝑥−5)

Question

𝑓(𝑥)=(6𝑥−5)(𝑥+5)(−5𝑥−3)(5𝑥−5)

What are the vertical asymptotes? Give a list of the x-values of the asymptotes separated by commas. 

x=  

What is the horizontal asymptote? 

y= 

What are the x -intercepts? Give a list of the x-values of the 𝑥 -intercepts separated by commas. 

x=

What is the y -intercept? 

y=

Answer 1

set each factor = 0 and solve for x

x = -3/5, -5, 1, 5/6 are the x intercepts

y intercept is the constant term if you multiply the 4 factors together, which is -375

5(-5)(-3)(-5) = -375

f(x) is a 4th degree function, with no asymptotes. It approaches positive infinity as x approaches positive or negative infinity.