Page 144 - Mathematics GRADE 9, DE-STREAMED (MTH1W)

• What are the x- and y-intercepts of this graph, if any? Why does it make sense that the graph intersects the axes in these places?
• Howdoesthegraphofy=2xcomparetothegraphofy=−2x?
• How are the graphs of y = 2x, y = x2, and y = 2x similar, and how are they different? How do these
similarities and differences appear in their tables of values and in their equations?
Sample Tasks
1. Have students use graphing technology to make graphs of various relations and to make note of characteristics that they notice in each graph.
2. Provide students with a set of cards, each showing the graph, the table of values, or the equation of a linear or non-linear relation. Have them sort the graphs according to different characteristics. For example:
• those with a constant rate of change and those with a changing rate of change
• those that are always increasing, those that are always decreasing, those that both increase and
decrease
• those that have the same y-intercept
C4.2 Characteristics of Linear and Non-Linear Relations
graph relations represented as algebraic equations of the forms x = k, y = k, x + y = k, x – y = k,
ax + by = k, and xy = k, and their associated inequalities, where a, b, and k are constants, to identify various characteristics and the points and/or regions defined by these equations and inequalities
Teacher supports
Examples
• graphs of relations:
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