5 7 2 Operations on Functions.notebook

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5.7.2
EQ: How do you apply the four basic operations to functions?
Notes: p. 210
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Suppose f(x) is a linear function and g(x) is a quadratic function. Decide if the answer to each problem below would be linear or quadratic.
1. Adding a linear function to g(x)
2. Subtracting a quadratic function from g(x)
3. Multiplying f(x) by a constant
4. Dividing g(x) by a constant
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Restricted Domains: when setting up function operations, always check first for values that cannot be part of the domain. These values will not be part of the domain even after you have performed an operation on functions!
For example:
Even though the solution is (x+2), when x= ____ the problem is undefined.
However, the range is also affected by this domain. Domain:
Range:
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p. 211
What is the domain and range of h(x)?
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p. 212
What is the domain and range of h(x)?
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Homework: p. 215­216 #1­10
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