Warm Up
1.
![A graph with a line in quadrant I that has a negative slope, intercepting the y-axis and x-axis.]()
![A step function graph with horizontal segments increasing from left to right. Each step starts with a closed black dot and ends with an open white dot, starting at the origin and extending rightward.]()
![A graph with horizontal and vertical axes. The horizontal line starts at a y-intercept and extends right, representing a constant value. Both axes have arrows indicating positive directions.]()
![A graph showing a wave with increasing and then decreasing amplitude, centered along the horizontal axis. Both vertical and horizontal axes are drawn, with the origin marked.]()
Examine the following 4 graphs and think about why 1 of the graphs does not belong in the same group as the other 3.
Which graph does not belong? Be prepared to show your reasoning.
Compare your answers: Any answer could be correct. Graph A doesn’t belong because:
- It is the only graph that has a positive vertical intercept and a positive horizontal intercept. Graph B doesn't belong because:
- It is the only one that has a constant, negative rate of change. Graph B doesn't belong because:
- It is the only graph that is not a continuous curve and has multiple pieces.
- It is the only one that shows both points and lines. Graph C doesn't belong because:
- It is the only graph that has a constant y-value. Graph D doesn't belong because:
- It is the only graph whose y-value increases and decreases multiple times.
- It is the only graph that is not a simple line or curve and that has wave-like features.