In this Grade 11 enVision Algebra 2 lesson, students learn to identify and interpret key features of linear, quadratic, and absolute value functions, including domain, range, x- and y-intercepts, zeros, maxima, minima, and average rate of change. Students practice expressing domain and range using both set-builder notation and interval notation, applying these skills to real-world contexts such as analyzing a diver's depth over time or a car's fuel consumption. The lesson builds foundational skills for reading graphs and equations to describe relationships between two quantities.
Section 1
Domain and Range of Functions
For any function , the domain is the set of all possible input values (-values) for which the function is defined. The range is the set of all possible output values (-values) that the function can produce.
Section 2
Intercepts of a graph
The points at which a graph crosses the axes are called the intercepts of the graph.
To find the intercepts of a graph:
Section 3
Positive and Negative Intervals of a Function
A function has positive intervals where (graph is above the x-axis) and negative intervals where (graph is below the x-axis). At x-intercepts, and the function changes sign.
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Section 1
Domain and Range of Functions
For any function , the domain is the set of all possible input values (-values) for which the function is defined. The range is the set of all possible output values (-values) that the function can produce.
Section 2
Intercepts of a graph
The points at which a graph crosses the axes are called the intercepts of the graph.
To find the intercepts of a graph:
Section 3
Positive and Negative Intervals of a Function
A function has positive intervals where (graph is above the x-axis) and negative intervals where (graph is below the x-axis). At x-intercepts, and the function changes sign.
Book overview
Jump across lessons in the current chapter without opening the full course modal.
Continue this chapter