# Function Review Lessons 2.1-2.3 - PowerPoint PPT Presentation

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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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Function Review Lessons 2.1-2.3

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## 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!!!

### Name the type of function and the Domain and Range for the function

• f(x)= ½ x – 7

• f(x)= 3x

x-14

### Name the type of function and the Domain and Range for the function

• f(x) = √x+11

• f(x) = √x2 + 6

### Name the type of function and the Domain and Range for the function

• f(x) = |2x + 5|

• f(x) = 2

x + 3

### Name the type of function and the Domain and Range for the function

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

### Evaluate the function for the given values f(-3), f(4), and f(a+b)

• f(x) = -2x + 6

• f(x) = (x – 2)2

• f(x) = -x + 112

### Write an equation for each function in the form f(x) = mx + b

• 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