A.4.6 Learning Goals
- Author:
- Katie Akesson, LeonMilewski
- I can identify important features of graphs of functions and explain what they mean in the situations represented.
- I understand and can use the terms “horizontal intercept,” “vertical intercept,” “maximum,” and “minimum” when talking about functions and their graphs.
Glossary:
Decreasing function: A function is decreasing if its outputs get smaller as the inputes get larger, resulting in a downward sloping graph as you move left to right.
Increasing function: A function is increasing if its outputs get larger as the inputes get larger, resulting in an upward sloping graph as you move left to right.
Functions can be decreasing or increasing just for a restricted range of inputs.
Horizontal Intercept (x-intercept): The horizontal intercept of a graph is the point where the graph crosses the horizontal axis (x-axis). It is given as a point in the form (x, 0).
Vertical Intercept (y-intercept): The vertical intercept of a graph is the point where the graph crosses the vertical axis (y-axis). It is given as a point in the form (0, y).
Maximum: The maximum is the highest point on the graph. The maximum of a function is a output value of the function that is greater than or equal to all other output values. There can be multiple points containing the maximum value.
Minimum: The minimum is the lowest point on the graph. The minimum of a function is a output value of the function that is less than or equal to all other output values. There can be multiple points containing the minimum value.