5b Practice Problems
1.
Given
f (x) =
2x3 −2x2 −32x+32
, nd everything asked for below. If none
x2 −5x+4
exists, write NONE.
Fully simplify:
Domain in interval notation:
x-intercepts:
y-intercepts:
hole(s) as points:
vertical asymptotes:
Calculation for the horizontal asymptote:
horizontal asymptotes:
Graph:
1
2.Given
f (x) =
2x3 −2x2 −32x+32
, nd everything asked for below.
x3 −5x2 +4x
exists, write NONE.
Fully simplify:
Domain in interval notation:
x-intercepts:
y-intercepts:
hole(s) as points:
vertical asymptotes:
Calculation for the horizontal asymptote:
horizontal asymptotes:
Graph:
2
If none
3.Given
f (x) =
write NONE.
x2 −7x−24
x+2
+ 6, nd everything asked for below.
Fully simplify:
Domain in interval notation:
x-intercepts:
y-intercepts:
hole(s) as points:
vertical asymptotes:
Calculation for the horizontal asymptote:
horizontal asymptotes:
Graph:
3
If none exists,
4.Given
f (x) =
3x2
, nd everything asked for below.
−2x5 +26x3 −72x
exists, write NONE.
Fully simplify:
Domain in interval notation:
x-intercepts:
y-intercepts:
hole(s) as points:
vertical asymptotes:
Calculation for the horizontal asymptote:
horizontal asymptotes:
Graph:
4
If none