Given each function: Find the x- and y-intercepts, the domain, the vertical and horizontal asymptotes, and then sketch a complete graph of the function.

Question

a) f(x)= 1-x/x+2    b) f(x)= 2x-4/1-x

Answer 1

y=(1-x)/(x+2)

X_{int ,}  let y=0 and solve for x

0=(1-x)/(x+2)  , 0=1-x , and x=1  Thus the Xint is (1,0)

 

Yint , let x=0 and solve for Y

y=(1-0)/(0+2) , y= ? Thus Yint= ( ?,0)

 

Domain of f(x), find where F(x) does not exist , this will also give the vertical asymptote

let denominator equal to zero and solve for x

 

Domain is all values of X , but not x equal -?

and VAS is x=-?