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Function Review Lessons 2.1-2.3PowerPoint Presentation

Function Review Lessons 2.1-2.3

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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

- 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!!!

- Domain and Range are determined solely by the function so you need to look at the graph to determine

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 b

- Pg 610-611/ 3-21 Multiples of 3

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