32 Questions
What is a key concept in understanding functions?
Variable
What is the purpose of a flow diagram in representing relationships?
To visualize the calculations that convert input values to output values
What is the formula to calculate the gradient of a line passing through two points?
Gradient = (y2 - y1) / (x2 - x1)
What does the slope/gradient of a graph indicate?
How rapidly the output changes with respect to the input
What is an essential characteristic of a function?
Each input corresponds to exactly one output
What is the purpose of a graph in understanding functions?
To plot the input-output pairs on a coordinate plane
What is an output number in a function?
The result after applying the function to the input
What does continuity of a graph refer to?
Whether the graph is a continuous curve or has breaks
Which of the following is a visual representation of the calculations that convert input values to output values?
Flow Diagrams
What is the primary purpose of a graph in understanding relationships between variables?
To show how variables change in relation to each other
Which of the following is a characteristic of a function?
Each input corresponds to exactly one output
What does the intercept of a graph indicate?
The point where the graph crosses the axes
Which of the following is an example of a variable?
A quantity that can change
What is the purpose of a table in understanding relationships between variables?
To list input values and their corresponding output values
What does the shape of a graph indicate?
The type of relationship between the variables
What is a function value?
The result after applying the function to the input
What is the primary advantage of using formulas to represent relationships?
They can be used to calculate output values for any given input
Which of the following representations is most suitable for illustrating the steps to compute outputs from inputs?
Flow Diagram
What does the continuity of a graph indicate about the relationship between variables?
The graph is a continuous curve
What is the main difference between a function value and an output number?
A function value is a specific output, while an output number is any result
Which of the following best describes the relationship between variables represented by a graph?
The shape of the graph indicates the type of relationship
What is the primary purpose of using tables to represent relationships?
To list input values and their corresponding output values
Which of the following representations is most suitable for describing the relationship between variables verbally?
Verbal Description
What does the intercept of a graph indicate about the relationship between variables?
The point where the graph crosses the y-axis
What is the primary advantage of using graphs to represent relationships between variables?
To visualize the changes in variables in relation to each other.
Which of the following representations is most suitable for describing the relationship between variables algebraically?
Formula
What is the primary difference between a graph and a table in representing relationships?
A graph shows the relationship between variables, while a table shows specific input-output pairs.
What is the purpose of finding the intercepts of a graph?
To identify the input values that correspond to specific output values.
What is the primary advantage of using formulas to represent relationships?
They provide a mathematical rule for computing outputs.
What is the purpose of finding the gradient of a line?
To determine the rate of change of the output value with respect to the input value.
What is the primary difference between a flow diagram and a verbal description?
A flow diagram illustrates the steps to compute outputs from inputs, while a verbal description provides a written explanation of the relationship.
What is the primary advantage of using tables to represent relationships?
They show specific input-output pairs, making it easy to identify patterns and relationships.
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