Podcast
Questions and Answers
From which representation can you determine if something is a function?
From which representation can you determine if something is a function?
- Mapping diagram
- Equation
- Table of values
- Graph (correct)
From which representation can you determine if something is a linear function?
From which representation can you determine if something is a linear function?
- Mapping diagram
- Table of values
- Equation (correct)
- Graph
What is the correct method to determine if a graph represents a function?
What is the correct method to determine if a graph represents a function?
- Slope-intercept test
- Horizontal line test
- Point-slope test
- Vertical line test (correct)
How can you determine the domain and range of a function from a graph?
How can you determine the domain and range of a function from a graph?
What is the correct method to determine if a graph has a discrete or a continuous domain?
What is the correct method to determine if a graph has a discrete or a continuous domain?
From which representation can you determine if something is a linear function?
From which representation can you determine if something is a linear function?
How can you determine the domain and range of a function from a graph?
How can you determine the domain and range of a function from a graph?
What is the correct method to determine if a graph represents a function?
What is the correct method to determine if a graph represents a function?
From a table of values, how can you determine if something is a function?
From a table of values, how can you determine if something is a function?
How can you determine if a function has a discrete or a continuous domain from a graph?
How can you determine if a function has a discrete or a continuous domain from a graph?
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Study Notes
Determining Functions and Their Properties
- A function can be determined from an equation, table of values, or graph.
Determining Linear Functions
- A linear function can be determined from an equation (e.g., y = mx + b, where m is the slope and b is the y-intercept) or a graph (if the graph is a straight line).
Determining Function from a Graph
- To determine if a graph represents a function, use the vertical line test: if a vertical line intersects the graph at more than one point, it is not a function.
Determining Domain and Range from a Graph
- The domain can be determined by identifying the x-values on the graph.
- The range can be determined by identifying the y-values on the graph.
Determining Domain Type from a Graph
- A discrete domain has individual points on the graph, while a continuous domain has a continuous curve or line.
Determining Functions from a Table of Values
- To determine if a table of values represents a function, ensure each x-value corresponds to only one y-value.
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