representing Linear functions Today’s Lesson: What: representing Linear functions Why: . . . so I can make connections among the four ways to represent a function. Input Output

How are all 4 representations related?

Do you remember the 4 ways to represent a function??: 1 As an ____________ y = 2x + 3 Equation “y is equal to ------------------------- ---------------------” 2 With words two times a number plus three. x y 1 2 3 3 As a __________ 3 Table Now, plot the points! 5 7 9 4 As a graph

“y is equal to the product of two and a number, let’s tie it all together . . . y = mx + b From an equation . . . Equation Words 1) y = 2x -1 Table Graph “y is equal to the product of two and a number, minus one.” m = 𝟐 𝟏 b = -1 x y -1 1 1 2 3 3 5

“y is equal to three more than a number.” y = mx + b From words . . . Equation Words 2) “y is equal to three more than a number.” Table Graph y = x + 3 You could use y= mx + b to graph OR you could create the table by choosing inputs and plugging in . . . x y 3 1 4 2 Now, plot the points! 5 3 6

“y is equal to negative 2 times a number, From a table . . . Equation Words 3) Table Graph y = -2x + 6 “y is equal to negative 2 times a number, plus six.” Magic Number . . . x y 6 1 4 2 3

more than negative 2 times a number.” y = mx + b From a graph . . . Equation Words 4) Table Graph y = -2x + 4 “y is equal to four more than negative 2 times a number.” m = −𝟐 𝟏 b = 4 x y 4 1 2 2 3 -2

Wrap-it-up/summary: 1) How are all 4 representations related? All 4 representations are related because they represent different ways to express the SAME relationship. They all represent the SAME function!

END OF LESSON