5 7 2 Operations on Functions.notebook October 16, 2014 5.7.2 EQ: How do you apply the four basic operations to functions? Notes: p. 210 1 5 7 2 Operations on Functions.notebook October 16, 2014 2 5 7 2 Operations on Functions.notebook October 16, 2014 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 3 5 7 2 Operations on Functions.notebook October 16, 2014 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: 4 5 7 2 Operations on Functions.notebook October 16, 2014 5 5 7 2 Operations on Functions.notebook October 16, 2014 p. 211 What is the domain and range of h(x)? 6 5 7 2 Operations on Functions.notebook October 16, 2014 p. 212 What is the domain and range of h(x)? 7 5 7 2 Operations on Functions.notebook October 16, 2014 8 5 7 2 Operations on Functions.notebook October 16, 2014 9 5 7 2 Operations on Functions.notebook October 16, 2014 10 5 7 2 Operations on Functions.notebook October 16, 2014 Homework: p. 215216 #110 11 5 7 2 Operations on Functions.notebook October 16, 2014 12 5 7 2 Operations on Functions.notebook October 16, 2014 13 5 7 2 Operations on Functions.notebook October 16, 2014 14 5 7 2 Operations on Functions.notebook October 16, 2014 15 5 7 2 Operations on Functions.notebook October 16, 2014 16 5 7 2 Operations on Functions.notebook October 16, 2014 17

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