Interpreting Graphs of Functions

Mr. Mutter explains how graphs can tell stories by analyzing changes in direction and slope. He uses two examples: a temperature graph showing changes throughout the day and a distance graph depicting a journey with stops. Each graph is broken into parts, illustrating how different sections represent different story elements. Students are encouraged to creatively interpret graphs, considering axes and units to understand the narrative.

What is the purpose of the vertical line test?

• To calculate the area under the curve

• To find the intercepts of a graph

• To measure the slope of a graph

• To determine if a graph is a function

What does the x-axis represent in the temperature vs. time graph?

• Time of day

• Speed

• Temperature

• Distance

During which time period does the temperature increase at a steady rate?

• 9 a.m. to 3 p.m.

• 3 p.m. to 6 p.m.

• 9 p.m. to 12 a.m.

• 6 p.m. to 9 p.m.

What happens to the temperature from 3 p.m. to 6 p.m.?

• It remains constant

• It fluctuates

• It increases at a steady rate

• It decreases at a steady rate

What does the y-axis represent in the distance vs. time graph?

• Time in minutes

• Distance from home in miles

• Speed in miles per hour

• Temperature in degrees

At the start of the distance vs. time graph, where is the person located?

• At home

• 6 miles from home

• At a friend's house

• 4 miles from home

What does a flat line on the distance vs. time graph indicate?

• The person is moving away from home

• The person is moving towards home

• The person is stationary

• The person is changing direction

How far from home is the person after 10 minutes?

• 8 miles

• 6 miles

• 2 miles

• 4 miles

What does the person do after spending 10 minutes at Kwik Trip?

• Rides to school

• Stays at Kwik Trip

• Rides to a friend's house

• Rides back home

How long does the person stay at their friend's house?

• 10 minutes

• 15 minutes

• 20 minutes

• 25 minutes