Function Review Lessons 2.1-2.3

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# Function Review Lessons 2.1-2.3 - PowerPoint PPT Presentation

Function Review Lessons 2.1-2.3. Advanced Math Topics Mrs. Mongold. Domain and Range. Remember basic rules: No negatives in radicals No fractions with 0 as the denominator Linear Functions: In the form y=mx+b Domain is ARN unless it’s vertical Range is ARN unless it’s horizontal

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Presentation Transcript

### Function ReviewLessons 2.1-2.3

Mrs. Mongold

Domain and Range
• Remember basic rules:
• No fractions with 0 as the denominator
• Linear Functions:
• In the form y=mx+b
• Domain is ARN unless it’s vertical
• Range is ARN unless it’s horizontal
• Absolute Value:
• Find corner
• Domain is usually ARN
• Range is determined by the y-value of the corner and whether the graph opens up or down
• Piecewise Functions:
• Domain and Range are determined solely by the function so you need to look at the graph to determine
• If you don’t have a graph you need to graph it first!!!
• f(x)= ½ x – 7
• f(x)= 3x

x-14

• f(x) = √x+11
• f(x) = √x2 + 6
• f(x) = |2x + 5|
• f(x) = 2

x + 3

x + 3 if x<0

• f(x) = 5 if x = 0

2x – 1 if x > 0

8 if x < -4

f(x) = x2 + 1 if -4< x < 4

8 if x > 4

• f(x) = -2x + 6
• f(x) = (x – 2)2
• f(x) = -x + 112
• f(-2) = -10, f(2) = 2
• f(0) = 5, f(7) = 3/2
• f(1) = 8, m = ½
Homework
• Pg 610-611/ 3-21 Multiples of 3