Describing Linear and Nonlinear Graphs

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

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.

According to the graph how far does the person travel in the first 5 seconds?

• 2 m

• 10 m

• 0 m

• 5 m

Between which seconds is the line DECREASING?

• Between 7 and 12 seconds

• Between 0 and 1 seconds

• Between 1 and 5 seconds

• Between 12 and 13.5 seconds

Is the function represented by the graph linear or nonlinear

• linear

• nonlinear

Determine if the graph is linear or nonlinear.

• Linear

• Nonlinear

Is this function represented by the graph linear or nonlinear?

• linear

• nonlinear

Is the graph pictured a linear or nonlinear function?

• Linear

• Nonlinear

Is this function represented by the graph Linear or Nonlinear

• linear

• nonlinear

This graph represents

• a linear function.

• a nonlinear function.

• a relation that is not a function.