Name ___________________________________ Unit III – Part I: Relations and Functions Learning Target #3: Formalizing Relations and Functions Relation-___________________________________________________________ Function-___________________________________________________________ Function Notation-____________________________________________________ __________________________________________________________________ Examples: f(x)=7 A function called f with and independent variable x. f(x) = y = output = dependent variable = range Fill in the tables with the examples from the teacher or video. x Examples of Relations y * x y * x * * * * y * * * * *** *** *** *** *** x Examples of Function y * x y * * * * * x y * * * * Use this space to make notes about the relations and functions above. Write down what is discussed by the teacher or on the video. Domain-____________________________________________________ Range-_____________________________________________________ Find the domain and range of each: x y 1 3 2 5 3 7 4 9 x y -2 4 -1 6 0 8 1 10 Is {(6,5), (4,3), (6,4), (5,8)} a function? Explain. Vertical Line Test: Draw the examples from your teacher or from the video. Find the range, for the domain: {1,2,3,4} ๐(๐ฅ) = −1.5๐ฅ + 4 ๐ฅ 1 2 3 4 ∗∗ ๐(๐ฅ)๐๐ ๐ ๐๐๐๐๐ฆ ๐ค๐๐ฆ ๐๐ ๐ค๐๐๐ก๐๐๐ ๐กโ๐ ๐ฆ − ๐ฃ๐๐๐ข๐ ๐(๐ฅ) ๐(๐ฅ) = −3๐ฅ + 4 ๐ฅ 1 2 3 4 Then, graph each function. ๐(๐ฅ) Do your summary on the next page. ∗∗ ๐(๐ฅ)๐๐ ๐ ๐๐๐๐๐ฆ ๐ค๐๐ฆ ๐๐ ๐ค๐๐๐ก๐๐๐ ๐กโ๐ ๐ฆ − ๐ฃ๐๐๐ข๐ Summary: In your textbook do page 271 #1-5 and #7 1. D: { R: { 2. } } Yes or No Draw a sketch of how you used the vertical line test to determine this answer. Function: yes 3. or no 4. ๐ : __________________________ ๐ฅ -4 -2 0 2 4 5. 7. ๐(๐ฅ)