Describing Graphs

Is the function increasing or decreasing from 2 < x < 6?

• Increasing

• Decreasing

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Is the function decreasing at a constant or varying rate from 2 < x < 6?

• Constant

• Varying

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.B.6

What information about a function is NOT provided by a qualitative description?

• The direction of the graph in each interval or section

• The rate of change for each linear section of the graph

• The shape of the graph (linear or nonlinear)

• Whether the function is changing at a constant rate

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Akiko is painting a room in her house. The graph shows the area Akiko has painted as a function of time. Which description is correct?

• For the first 2 hours, Akiko paints very quickly at first, but then slows down.

• For 2 < x < 3, Akiko paints at a constant rate.

• For 3 < x < 4, Akiko continues painting at the same rate.

• For the last 2 hours, Akiko paints at a constant rate, but much more slowly than earlier in the day.

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

Jesse walks to the bus stop, waits for the bus, and then takes the bus to school. Which of the following graphs represent parts of Jesse’s trip to or from school? Assume both Jesse and the bus are moving at constant rates.

• 
• 
• 
• 

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

After school, Jesse walks to a friend’s house, which is on the way home. He stays there until he takes a bus home. Which of the following graphs represent parts of Jesse’s trip to or from school? Assume both Jesse and the bus are moving at constant rates.

• 
• 
• 
• 

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.IF.C.7

2.  Slowly decreases at a CONSTANT rate

• C
• A
• F
• D

Tags

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

CCSS.HSS.ID.C.7

5. quickly decreases at a CONSTANT rate.

• D

• A

• F

• B

Tags

CCSS.HSA.REI.D.10

CCSS.HSF.IF.B.4

CCSS.HSF.LE.A.1

CCSS.HSF.LE.A.2

Describe the situation.

• Sales decrease quickly at a constant rate, and then increase slowly at a constant rate.
• Sales stay constant, then decrease at a constant rate, and increase slowly.  

Tags

CCSS.HSA.CED.A.2

CCSS.HSA.REI.D.10

CCSS.HSS.ID.C.7

What is happening in this graph from point B to C?

• The object is going down a hill.
• The object is returning to its starting location.
• The object is slowing down.
• The object is staying still.

Tags

CCSS.HSF.IF.B.4