20 Questions
What is the formula to calculate the gradient of a line passing through two points (x₁, y₁) and (x₂, y₂)?
Gradient = (y₂ - y₁) / (x₂ - x₁)
What is the purpose of a flow diagram in representing a function?
To show the calculations needed to transform input into output
What is the term for the value substituted into a function?
Input Number
What is the key feature of a graph that indicates the rate of change between variables?
Slope/Gradient
What is the term for the result after applying the function to the input?
Output Number
What is the primary purpose of a graph in representing a relationship between variables?
To visually represent the relationship between variables
What is the term for the specific output corresponding to a given input?
Function Value
What is the term for a quantity that can change?
Variable
What is the term for the points where the graph crosses the axes?
Intercepts
What is the term for whether the graph is a continuous line or has breaks/discontinuities?
Continuity
Which of the following representations is most useful for identifying patterns in a relationship between variables?
Graph
A function has a gradient of 2. What can be inferred about the relationship between the input and output?
The output increases by 2 units for every 1 unit of input
Which of the following types of graphs is most suitable for representing a relationship that has a constant rate of change?
Linear Graph
What is the primary advantage of using a graph to represent a relationship between variables?
It provides a visual representation of the relationship
Which of the following features of a graph is most indicative of a discontinuous relationship?
A break in the graph
A function has a continuous graph with a constant positive gradient. What can be inferred about the relationship between the input and output?
The output increases by a constant amount for every unit of input
Which of the following representations of a function is most useful for identifying the maximum or minimum value of the output?
Graph
What is the primary advantage of using a table to represent a function?
It allows for precise calculations of function values
A function has a graph with a non-zero intercept on the y-axis. What can be inferred about the relationship between the input and output?
The output has a non-zero value when the input is zero
Which of the following types of graphs is most suitable for representing a relationship that has a non-constant rate of change?
Quadratic Graph
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