Limits & Inequalities Flashcards
1
Q
f(x)=1/x Where is there discontinuity?
A
At 0 where the function is undefined
2
Q
Construct a table for the function f(x)=1/x
A
X
- 10
- 1
- 0.1
- 0.01
0. 01
0. 1
1
10
f(x)
- 0.1
- 1
- 10
- 100
100
10
1
0.1
3
Q
From below: as x moves towards zero, f(x) tends to become more and more___
A
negative as it tends towards negative infinity
4
Q
while from above: as x moves towards zero, f(x) tends to become more and more_____
A
positive as it tends towards positive infiinty
5
Q
The graph of a rational function may cross its asymtope?
A
False the function is undefined at these values as vertical asymtopes are defined by the x values that make the denominator of a rational function equal 0
6
Q
The graph of a function can cross its horizontal asymtope?
A
True e.g f(x) = (x - 2) / [(x - 1) (x + 3)]
