Question

the function f is given by f(x) = 2x+3/x+1. Which of the following statements are true? i. the graph of f has a horizontal asymptote at y = 2 because lim x->[infinity] f(x) = 2 ii. the graph of f has a horizontal asymptote at y = 2 because lim x->[infinity] f(x) = 2 iii. the graph of f has a vertical asymptote at x = -1 because lim x->-1 f(x) = [infinity] a. I only b. Ill only c. I and Il only d. I, II, and III

Answer 1

Hi,

Answer : option D

Explanation:

the function f is given by f(x) = 2x+3/x+1.

Which of the following statements are true?

i. the graph of f has a horizontal asymptote at y = 2 because lim x->[infinity] f(x) = 2 is TRUE

ii. the graph of f has a horizontal asymptote at y = 2 because lim x->[infinity] f(x) = 2 is TRUE since I=II

iii. the graph of f has a vertical asymptote at x = -1 because lim x->-1 f(x) = [infinity] is TRUE

a. I only

b. Ill only

c. I and Il only

d. I, II, and III

Answer 2

1. The graph of f has a horizontal asymptote at y -> 2 because lim f (x) = 2. 2 because lim f (x) = 2.

Explanation: