1.1-1.3 Function Value vs ROC

​Function:
-Where is the function (y-values) increasing/decreasing?
-What intervals is the function
(y-values) positive/negative?

​The Function or the Rate of Change?

Multiple Select

On what intervals is the function positive?

(above the x axis)

• $$x<4.5$$

• $$x>4$$

• $$-4.5<x<1.3$$

• $$1.3<x<4$$

• All real numbers

Multiple Select

On what intervals is the function negative?

(below the x axis)

• $$x<1.3$$

• $$x>4$$

• $$-4.5<x<1.3$$

• $$1.3<x<4$$

• functions cannot be negative

Multiple Choice

On what intervals is the function positive?

• $$x>2$$

• $$x<2$$

• $$-3<x<2$$

• $$x>0$$

• all real numbers

Multiple Select

On what intervals is the function increasing?

(rising)

• $$x<-4.5$$

• $$-4.5<x<-1$$

• $$-4.5<x<1.3$$

• $$-1<x<3$$

• $$x>3$$

Multiple Select

On what intervals is the function decreasing?

(dropping)

• $$x<-4.5$$

• $$-4.5<x<-1$$

• $$-4.5<x<1.3$$

• $$-1<x<3$$

• $$x>3$$

Multiple Select

On what intervals is the function Positive?

• $$x<-3$$

• $$-3<x<-1$$

• $$-1<x<2$$

• $$x>2$$

• $$x>-1$$

Multiple Select

On what intervals is the function Increasing?

• $$x<-3$$

• $$-2.3<x<1$$

• $$-1<x<2$$

• $$x>2$$

• $$x>-1$$

​Rate of Change:
-Where is the ROC increasing/decreasing?

-Where is the ROC positive/negative?

​The Function or the Rate of Change?

Match

Match the following

Concave Down

ROC: Positive

Decreasing

Concave Down

ROC: Negative

Decreasing

Concave Up

ROC: Negative

Increasing

Concave Up

ROC: Positive

Increasing

• Concave Down

  ROC: Positive

  Decreasing

• Concave Down

  ROC: Negative

  Decreasing

• Concave Up

  ROC: Negative

  Increasing

• Concave Up

  ROC: Positive

  Increasing

Match

Match

• $$0<x<4.5$$

• $$4.5<x<9.5$$

• $$2<x<7$$

• $$0<x<2$$

  or

  $$7<x<9.5$$

• $$x=4.5$$

Increasing

Rate of Change

Decreasing

Rate of Change

Positive

Rate of Change

Negative

Rate of Change

Point of Inflection

• Increasing

  Rate of Change

• Decreasing

  Rate of Change

• Positive

  Rate of Change

• Negative

  Rate of Change

• Point of Inflection

Multiple Choice

On what interval is the rate of change

POSITIVE AND DECREASING

• $$0<x<2$$

• $$2<x<4.5$$

• $$4.5<x<7$$

• $$7<x<9.5$$

• No point of inflection

Multiple Choice

On what interval is the rate of change

POSITIVE AND INCREASING

• $$0<x<2$$

• $$2<x<4.5$$

• $$4.5<x<7$$

• $$7<x<9.5$$

• No point of inflection

Multiple Choice

On what interval is the rate of change

NEGATIVE AND INCREASING

• $$0<x<2$$

• $$2<x<4.5$$

• $$4.5<x<7$$

• $$7<x<9.5$$

• No point of inflection

Multiple Choice

On what interval is the rate of change

NEGATIVE AND DECREASING

• $$0<x<2$$

• $$2<x<4.5$$

• $$4.5<x<7$$

• $$7<x<9.5$$

• No point of inflection

Match

Match the following

• $$-2<x<4$$

• $$x<-2$$

• $$1<x<4$$

• $$x>1$$

• $$x<1$$

The Function is

DECREASING

RATE OF CHANGE IS

POSITIVE AND DECREASING

RATE OF CHANGE IS

NEGATIVE AND INCREASING

THE RATE OF CHANGE

IS INCREASING

THE RATE OF CHANGE

IS DECREASING

• The Function is

  DECREASING

• RATE OF CHANGE IS

  POSITIVE AND DECREASING

• RATE OF CHANGE IS

  NEGATIVE AND INCREASING

• THE RATE OF CHANGE

  IS INCREASING

• THE RATE OF CHANGE

  IS DECREASING

Agenda

**Last Class (if you haven't):
1.3 Note Check, Collegeboard 1.1 Notes (on separate sheet)

-Complete 1.1-1.3 Circuit (turn in today)
-1.3 Practice Check #1-13