chapter 1.4/1.5 closed-form of a function. what have we done so far? definition of a function table...

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CHAPTER 1.4/1.5 CLOSED-FORM OF A FUNCTION

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Page 1: CHAPTER 1.4/1.5 CLOSED-FORM OF A FUNCTION. WHAT HAVE WE DONE SO FAR? Definition of a Function Table Graph Description Difference Tables Linear Function

C H A P T E R 1 . 4 / 1 . 5

CLOSED-FORM OF A FUNCTION

Page 2: CHAPTER 1.4/1.5 CLOSED-FORM OF A FUNCTION. WHAT HAVE WE DONE SO FAR? Definition of a Function Table Graph Description Difference Tables Linear Function

WHAT HAVE WE DONE SO FAR?

•Definition of a Function• Table• Graph• Description

•Difference Tables• Linear Function (closed-form version)•Recursive Rule

Page 3: CHAPTER 1.4/1.5 CLOSED-FORM OF A FUNCTION. WHAT HAVE WE DONE SO FAR? Definition of a Function Table Graph Description Difference Tables Linear Function

DIFFERENCE TABLES PRACTICE• Convert the table into a difference table

Page 4: CHAPTER 1.4/1.5 CLOSED-FORM OF A FUNCTION. WHAT HAVE WE DONE SO FAR? Definition of a Function Table Graph Description Difference Tables Linear Function

DIFFERENCE TABLES (CON’T)• Write a recursive rule using your table.

Page 5: CHAPTER 1.4/1.5 CLOSED-FORM OF A FUNCTION. WHAT HAVE WE DONE SO FAR? Definition of a Function Table Graph Description Difference Tables Linear Function

CLOSED-FORM (QUADRATIC FUNCTION)

•Format

•B is the result once you insert an input value and its respective output

Page 6: CHAPTER 1.4/1.5 CLOSED-FORM OF A FUNCTION. WHAT HAVE WE DONE SO FAR? Definition of a Function Table Graph Description Difference Tables Linear Function

CLOSED-FORM• What is the closed-form function for this table?

Page 7: CHAPTER 1.4/1.5 CLOSED-FORM OF A FUNCTION. WHAT HAVE WE DONE SO FAR? Definition of a Function Table Graph Description Difference Tables Linear Function

CLOSED-FORM PRACTICE• What is the closed-form function for this table?

Page 8: CHAPTER 1.4/1.5 CLOSED-FORM OF A FUNCTION. WHAT HAVE WE DONE SO FAR? Definition of a Function Table Graph Description Difference Tables Linear Function

CLOSED-FORM PRACTICE• What is the closed-form function for this table?