Grade 8 Algebra: Interpreting Function Graphs

Name: ______________________Date: ____________Score: ____ / 8

Level 2

Increasing, decreasing and constant

Directions: Read the graph in each context. The horizontal axis is time t; the vertical axis is the stated quantity.

1.
$\text{Distance}$ $\text{from}$ $\text{home}$ $\text{in}$ $\text{km,}$ $\text{time}$ $\text{in}$ $\text{hours.}$ $\text{When}$ $\text{is}$ $\text{the}$ $\text{person}$ $\text{moving}$ $\text{away?}$
2.
$\text{Distance}$ $\text{from}$ $\text{home}$ $\text{in}$ $\text{km,}$ $\text{time}$ $\text{in}$ $\text{hours.}$ $\text{When}$ $\text{is}$ $\text{the}$ $\text{person}$ $\text{stationary?}$
3.
$\text{Distance}$ $\text{from}$ $\text{home}$ $\text{in}$ $\text{km,}$ $\text{time}$ $\text{in}$ $\text{hours.}$ $\text{When}$ $\text{is}$ $\text{the}$ $\text{person}$ $\text{returning?}$
4.
$\text{Distance}$ $\text{from}$ $\text{home}$ $\text{in}$ $\text{km,}$ $\text{time}$ $\text{in}$ $\text{hours.}$ $\text{What}$ $\text{is}$ $\text{the}$ $\text{greatest}$ $\text{distance?}$
5.
$\text{Temperature}$ $\text{in}$ $\text{degrees}$ $\text{Celsius,}$ $\text{time}$ $\text{in}$ $\text{minutes.}$ $\text{When}$ $\text{is}$ $\text{it}$ $\text{increasing?}$
6.
$\text{Temperature}$ $\text{in}$ $\text{degrees}$ $\text{Celsius,}$ $\text{time}$ $\text{in}$ $\text{minutes.}$ $\text{When}$ $\text{is}$ $\text{it}$ $\text{constant?}$
7.
$\text{Temperature}$ $\text{in}$ $\text{degrees}$ $\text{Celsius,}$ $\text{time}$ $\text{in}$ $\text{minutes.}$ $\text{When}$ $\text{is}$ $\text{it}$ $\text{decreasing?}$
8.
$\text{Temperature}$ $\text{in}$ $\text{degrees}$ $\text{Celsius,}$ $\text{time}$ $\text{in}$ $\text{minutes.}$ $\text{What}$ $\text{is}$ $\text{it}$ $\text{at}$ $\text{5}$ $\text{minutes?}$

Answer Key

Level 2

1. $0<t<2$
2. $2<t<4$
3. $4<t<6$
4. $4\text{ km}$
5. $0<t<2$
6. $2<t<4$
7. $4<t<6$
8. $25^\circ\text{C}$

Grade 8 Algebra: Interpreting Function Graphs

Name: ______________________Date: ____________Score: ____ / 8

Level 3

Rates, intervals and rules

Directions: Read the graph in each context. The horizontal axis is time t; the vertical axis is the stated quantity.

1.
$\text{Water}$ $\text{in}$ $\text{liters,}$ $\text{time}$ $\text{in}$ $\text{minutes.}$ $\text{Find}$ $\text{the}$ $\text{signed}$ $\text{rate}$ $\text{of}$ $\text{change.}$
2.
$\text{Height}$ $\text{in}$ $\text{cm,}$ $\text{time}$ $\text{in}$ $\text{weeks.}$ $\text{Find}$ $\text{the}$ $\text{rate}$ $\text{of}$ $\text{growth.}$
3.
$\text{Savings}$ $\text{in}$ $\text{dollars,}$ $\text{time}$ $\text{in}$ $\text{weeks.}$ $\text{Write}$ $\text{the}$ $\text{function}$ $\text{rule.}$
4.
$\text{Water}$ $\text{in}$ $\text{liters,}$ $\text{time}$ $\text{in}$ $\text{minutes.}$ $\text{Write}$ $\text{the}$ $\text{function}$ $\text{rule.}$
5.
$\text{Distance}$ $\text{from}$ $\text{home}$ $\text{in}$ $\text{km,}$ $\text{time}$ $\text{in}$ $\text{hours.}$ $\text{Find}$ $\text{the}$ $\text{speed}$ $\text{on}$ $\text{the}$ $\text{return}$ $\text{journey.}$
6.
$\text{Temperature}$ $\text{in}$ $\text{degrees}$ $\text{Celsius,}$ $\text{time}$ $\text{in}$ $\text{minutes.}$ $\text{Find}$ $\text{the}$ $\text{rate}$ $\text{from}$ $\text{4}$ $\text{to}$ $\text{6}$ $\text{minutes.}$
7.
$\text{Distance}$ $\text{from}$ $\text{home}$ $\text{in}$ $\text{km,}$ $\text{time}$ $\text{in}$ $\text{hours.}$ $\text{How}$ $\text{far}$ $\text{does}$ $\text{the}$ $\text{person}$ $\text{travel}$ $\text{in}$ $\text{total?}$
8.
$\text{Temperature}$ $\text{in}$ $\text{degrees}$ $\text{Celsius,}$ $\text{time}$ $\text{in}$ $\text{minutes.}$ $\text{For}$ $\text{how}$ $\text{long}$ $\text{does}$ $\text{it}$ $\text{stay}$ $\text{at}$ $\text{its}$ $\text{maximum?}$

Answer Key

Level 3

1. $-2\text{ L/min}$
2. $1\text{ cm/week}$
3. $y=5t+10$
4. $y=8-2t$
5. $2\text{ km/h}$
6. $-5^\circ\text{C/min}$
7. $8\text{ km}$
8. $2\text{ min}$

Interpreting Function Graphs: Classroom Packet

Grade 8 Algebra: Interpreting Function Graphs

Level 1

Answer Key

Level 1

Grade 8 Algebra: Interpreting Function Graphs

Level 2

Answer Key

Level 2

Grade 8 Algebra: Interpreting Function Graphs

Level 3

Answer Key

Level 3