Interpreting Key Features of Graphs | Mathematics
Graphs provide visual information of organized data and are helpful in the workplace and daily life. Researchers and scientists often use graphs to report findings from their research. In newspapers and magazine articles, graphs are used to support an argument or point of view.
As you prepare for the TASC Test Assessing Secondary Completion™ Mathematics subtest, you will be expected to understand the key features of graphs and accurately interpret their quantities. Let’s look at the key features:
- x- and y-intercepts, vertex. The x-intercept is the point where the line crosses the x-axis (x, 0). The y-intercept is the point where the line crosses the y-axis (0, y). The vertex is the point where the line, or parabola, crosses the line of symmetry. Graph image via Newcharter.edu.
- Intervals where the function is increasing (positive) and decreasing (negative). When intervals are increasing, the line representing the function being graphed will extend upward. Intervals that are decreasing will go downward. Graph image via Mathematicisvisuals.com.
- Relative maximums and minimums. The relative maximum is the highest point in one section of a graph. The relative minimum is the lowest point in one section of a graph. Graph image via Themathpage.com.
- Quantity increasing exponentially. When a function increases exponentially, this means it increases in number or size at a consistently growing rate. Graph image via Mathplanet.com.
Practice interpreting quantities of graphs for the Mathematics subtest with Khan Academy's online exercises.