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1. NAME Algebra II
Identifying Range & Domain of Various Functions
Vocabulary/Words to Know: - Function f(x) - Domain - Range -Infinity
- X & Y Intercepts - Roots - Rational Expression - Vertical & Horizontal Asymptote
Domain Solving the domain both algebraically and graphically
Rational Expressions
1. Depends on the equation in the denominator
2. If linear, solve via inverse operations and = it to zero.
Rational Expressions with Radicals
1. Graph it see what happens OR
2. Solve the equation inside the radical by itself and then check the graphing and
table for whether to use a ( or ) OR [ or ]
Quadratic Equ only:
1. Find roots
2. Put it in x not = to set type
Square Root Quadratic
1. Solve roots
2. check graph
3. if graph has 2 x valuesUse last set the one with the U and decide which infinity
symbols to include (neg or pos.)
- If box is empty, then it is a ( or )
Square Root- Linear
1. Set up an inequality > than 0 (Why? any radical with a negative inside will end
up irrational)
2. Solve Inequality
3. Write set-notation
Range
- Rational Expressions -check where both parts of the graph do not meet
- General: if there is a horizontal asymptote, it does not actually touch the line it
seems like it is on so use ( or ) for the range # always.
- For radical expressions: if there is a max value and an infinite range, the max
value is a [ or ].
- If the table has a number in it, then use a [ or ].
-Both LINEAR &CUBIC Functions: all real numbers for domain &range.