Created by Ms. Shaira Anne P. Natanauan

2. OBJECTIVE
S
 Recall how to simplify rational
functions.
 Determine the intercepts, zeroes
and asymptotes of rational
function.
 Solve problems involving rational
functions.

3. RECALL

4. ASYMPTOTES

5. HORIZONTAL ASYMPTOTE

6. EXAMPLE 1

7. EXAMPLE 2

8. EXAMPLE 3

9. RATIONAL EQUATION

10. What is a rational equation?
A rational equation is an equation
containing at least one rational
expression. Rational expressions
typically contain a variable in the
denominator.

11. EXAMPLE 1
Find the value/s of x.
𝑥 +
8
𝑥
= 6

12. EXAMPLE 2
Find the value of x.
𝑥+3
𝑥−3
=
12
3

13. PROBLEM SOLVING
If a scuba diver goes to depth greater than 33 feet,
the function 𝑇 𝑑 =
1700
𝑑−33
gives the maximum time
a diver can remain down and still surface at a
steady rate with no decompression stops. In this
function, 𝑇(𝑑) represents the dive time in minutes,
and d represents the depth in feet. If a diver plans
a 30 – minute dive, what is the maximum depth
the diver can go without decompression stops on
the way back – up?