TODAY IN ALGEBRA 2.0…

Review: Graphing Rational Functions

Learning Target 1: 8.2 continued…You will graph rational functions

Complete HW #1

Learning Target 2: 8.3 You will simplify rational expressions

Exit Task

8.2 GRAPHING RATIONAL FUNCTIONS: HYPERBOLAS

PARENT FUNCTION:

VERTICAL ASYMPTOTE:

HORIZONTAL ASYMPTOTE:

DOMAIN: RANGE:

𝑦=1𝑥

𝑥=0

𝑦=0

𝑥≠0 𝑦 ≠0

8.2 GRAPHING RATIONAL FUNCTIONS: HYPERBOLAS

SIMPLE TRANSLATIONS OF THE PARENT FUNCTION:

VERTICAL ASYMPTOTE:

HORIZONTAL ASYMPTOTE:

DOMAIN: RANGE:

𝑦=𝑎𝑥

𝑥=0

𝑦=0

𝑥≠0 𝑦 ≠0

𝑎≠ 0

EXAMPLE:

8.2 GRAPHING RATIONAL FUNCTIONS: HYPERBOLAS

OTHER TRANSLATIONS OF THE PARENT FUNCTION:

VERTICAL ASYMPTOTE:

HORIZONTAL ASYMPTOTE:

DOMAIN: RANGE:

𝑦=𝑎

𝑥−𝒉+𝒌

𝑥=h

𝑦=𝑘

𝑥≠h 𝑦 ≠𝑘

EXAMPLE:

8.2 GRAPHING RATIONAL FUNCTIONS: HYPERBOLAS

OTHER RATIONAL FUNCTIONS:

VERTICAL ASYMPTOTE:

HORIZONTAL ASYMPTOTE:

DOMAIN: RANGE:

𝑦=𝑎𝑥+𝑏𝑐𝑥+𝑑

𝑥=𝑑𝑐

𝑦=𝑎𝑐

𝑥≠𝑑𝑐

𝑦 ≠𝑎𝑐

EXAMPLE:

PRACTICE: Graph the following function Then state the DOMAIN and RANGE.

STEPS:1. Graph VERTICAL AND HORIZONTAL ASYMPTOTE:

2. PLOT AT LEAST 4 POINTS:

3. GRAPH HYPERBOLA

DOMAIN: RANGE:

𝑥=−1 𝑦=3

𝑥≠−1 𝑦 ≠3

HOMEWORK #1:

Pg. 561: 4-8 even, 15-23 odd, 26-32 even

EXAMPLE: Simplify the following expressions.

1. 2.

3. 4.

5. 6.

EXAMPLE: Simplify the following expressions.

1. 2.

3. 4.

5. 6.

EXAMPLE: Simplify the following expressions.

1. 2.

3. 4.

HOMEWORK:

Factoring WS

If finished, work on other assignments:

HW #1: Pg. 561: 4-8 even, 15-23 odd, 26-32 even