5-4 Intervals of increase and decrease

Lesson 5-4

Intervals of Increase and Decrease

Qualitative

Graph

A _____________ is a graph used to represent
situations that may not have numerical values or graphs
in which numerical values are not included.

Interval

The period of time between two
events or points in time.

Match

Match the following

• period of time between 2 points in time

• graphs in which numerical values are not included

• a straight line graph that shows a relationship between the x-coordinate and the y-coordinate

• a curved or not straight line graph

• a relation in which every member of the domain is paired with 

  exactly one member of the range

Interval

Qualitative Graph

Linear Function Graph

Non Linear Function Graph

Function

• Interval

• Qualitative Graph

• Linear Function Graph

• Non Linear Function Graph

• Function

Draw

Sketch a linear function that is increasing.

Draw

Sketch a function that decreases then increases.

Multiple Choice

What interval is Judith’s distance decreasing?

• 0-0.5 hours

• 0.5-0.75 hours

• 0.75-1.75 hours

• 1.75-2 hours

Multiple Choice

What interval is Judith’s distance increasing?

• 0-0.5 hours

• 0.5-0.75 hours

• 0.75-1.75 hours

• 1.75-2 hours

Multiple Choice

What interval is Judith’s distance constant?

• 0-0.5 hours

• 0.5-0.75 hours

• 0.75-1.75 hours

• 1.75-2 hours

Multiple Choice

Taro and Jiro climbed a mountain and hiked back down. At the summit and at every station along the way back down, they recorded their altitude and the amount of time they had been travelling. Can the data in the table represent a linear function?

• Yes, the data represents a linear function

• No, the data does NOT represent a linear function

Multiple Choice

Does the graph below represent a linear function? If so, justify your answer.

• Yes, the function is linear.

• No, the function is nonlinear.

Review Time

Multiple Choice

Determine the number of solutions of the graphed system of linear equations.

• one solution

• no solutions

• infinitely many solutions

Multiple Choice

Determine the number of solutions of the graphed system of linear equations.

• one solution

• no solutions

• infinitely many solutions

Multiple Choice

The table shown represents a linear relationship. Using the table, write an equation in slope-intercept form.

• x: 0, 1, 2, 3

  Y: -4, -1, 2, 5

• y=3x-4

• y=1/3x+5

• y=x-1

Multiple Choice

Write an equation that represents the graph shown.

• -2x-3

• 2x+3

• y=-2x-3

• y=2x+3