today in algebra 2.0… review: graphing rational functions learning target 1: 8.2 continued…you...
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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