10 Questions
From which representation can you determine if something is a function?
Graph
From which representation can you determine if something is a linear function?
Equation
What is the correct method to determine if a graph represents a function?
Vertical line test
How can you determine the domain and range of a function from a graph?
Identify the x and y values where the graph exists
What is the correct method to determine if a graph has a discrete or a continuous domain?
Identify if the graph has any gaps or jumps
From which representation can you determine if something is a linear function?
An equation
How can you determine the domain and range of a function from a graph?
By using the vertical line test
What is the correct method to determine if a graph represents a function?
Using the vertical line test
From a table of values, how can you determine if something is a function?
By checking if each input has a unique output
How can you determine if a function has a discrete or a continuous domain from a graph?
By observing the spread of points on the graph
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.
Test your understanding of functions and linear functions with this quiz. Determine if something is a function from a graph, table of values, or mapping diagram. Identify linear functions from graphs, tables, and equations. Gain insight into the differences between functions and linear functions.
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