Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Objective – To use tables to represent functions. A relation is a function if for each input there is EXACTLY one output. Input-Output Table (Function Table) Input (X) Output (Y) 0 1 2 3 3 6 9 12 Input and Output can also be written as an ordered pair. (X , Y) (0, 3) Input (Input, Output) (1, 6) Output (2, 9) (3, 12) Function - A rule or equation where there is exactly one output for every input. For every x-value there is exactly one y-value. x y x y x y -1 -2 -1 2 1 -2 No x- 0 0 No x- 0 0 0 0 x-value value 1 2 value 1 2 1 2 repeats repeats repeats 2 4 2 4 2 4 4 6 4 6 4 6 -2 -1 Yes, it is a 1 2 2 1 function Yes, it is a No, it is not function a function Determine whether the relation is a function: 1. (0, 2) (1, 4) (2, 6) (3, 8) YES Each input has exactly one output!!! Input 9 25 9 25 5 2. Output 3 -5 -3 5 2 NO Both 9 and 25 has two different outputs! 9 25 9 25 5 3 -5 -3 5 2 Determine whether the relation is a function: 3. (-2, 4) (2, 4) (4, 2) (-2, -4) 4. (4, 5) (2, -3) (4, 9) (-2, -3) NO NO 5. Input (X) Output (Y) -2 3 8 13 0 0 0 0 6. YES Input (X) Output (Y) 0 1 2 3 0 -5 -10 -15 YES INPUT OUTPUT Mr. PAL Function Rule Complete the table using the following function rule: 2x + 5 = y Input 0 1 2 3 Output 2(0) + 5 = 5 2(1) + 5 = 7 2(2) + 5 = 9 2(3) + 5 = 11 Complete the table using the following function rule: 1. Input 0 1 2 3 y = 2x + 3 Output 2(0) + 3 = 3 2(1) + 3 = 5 2(2) + 3 = 7 2(3) + 3 = 9 2. y = -4x + 5 Input 0 1 2 3 Output -4(0) + 5 = 5 -4(1) + 5 = 1 -4(2) + 5 = -3 -4(3) + 5 = -7 3. Input 0 1 2 3 y = 5x - 1 Output 5(0) - 1 = -1 5(1) - 1 = 4 5(2) - 1 = 9 5(3) - 1 = 14 4. Input 0 -1 -2 -3 y = 4x - 3 Output 4(0) - 3 = -3 4(-1) - 3 = -7 4(-2) - 3 = -11 4(-3) - 3 = -15 Objective - To graph linear equations. Graph y = 3x - 4. x y y = 3x - 4 -3 3(-3) - 4 = -13 -2 3(-2) - 4 = -10 -1 3(-1) - 4 = -7 0 3(0) - 4 = -4 1 3(1) - 4 = -1 2 3(2) - 4 =2 3 3(3) - 4 =5 x This line represents all the solutions to y = 3x - 4