32 Questions
What is another term for the gradient of a line?
Slope
Which of the following is NOT a way to represent relationships between variables?
Maps
What does the slope of a line represent?
The rate of change between variables
What is the formula to calculate the gradient of a line?
$\frac{y_2 - y_1}{x_2 - x_1}$
What is a key feature to consider when interpreting graphs?
Shape of the Graph
What does a continuous graph indicate?
The function has no breaks
What is an input number in a function?
The value substituted into a function
What is a flow diagram used for?
To show the calculations needed to transform input into output
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 key characteristic of a function?
Each input corresponds to exactly one output
What is the purpose of creating a table of values when drawing a graph of a function?
To choose a range of input values and calculate the corresponding output values
What does the slope of a graph indicate?
How rapidly the output changes with respect to the input
What is the term for the value substituted into a function?
Input number
What is the first step in drawing a graph of a function?
Identify the function
What is a flow diagram used for in understanding functions?
To illustrate the steps to compute outputs from inputs
What is a characteristic of a continuous graph?
It is a smooth curve with no breaks
What is the primary purpose of representing relationships between variables in multiple ways?
To provide a comprehensive understanding of the relationship
What is the relationship between the input and output values in a function?
Each input has exactly one output
What is the significance of the intercepts in a graph?
They provide the values of the variables at the axes
What is the primary difference between a flow diagram and a formula?
A flow diagram is visual, while a formula is algebraic
What is the purpose of analyzing the shape of a graph?
To understand the nature of the relationship
What is the significance of the gradient in a graph?
It shows the rate of change between variables
What is the primary advantage of using a graph to represent a function?
It offers a visual representation of the relationship
What is the relationship between the variable and the function value?
The variable is the input, and the function value is the output
Which of the following representations of a function can be used to find the output value for a given input value?
All of the above
What is the main difference between the gradient of a line and the slope of a graph?
There is no difference between the gradient of a line and the slope of a graph
What is the purpose of identifying the function when drawing a graph?
To determine the formula or rule that defines the function
What is the main advantage of using a graph to represent a function?
It provides a clear visual representation of the relationship between variables
What is the main characteristic of a function value?
It is a specific output corresponding to a given input
What is the main purpose of creating a table of values when drawing a graph of a function?
To choose a range of input values and calculate the corresponding output values
What is the main difference between a continuous graph and a graph that is not continuous?
A continuous graph is a smooth curve, while a graph that is not continuous has breaks or gaps
What is the main advantage of using a formula to represent a function?
It allows for the calculation of the output value for a given input value
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