Gr 9 MATH: Ch 7 Sum Graphs

Play an AI-generated podcast conversation about this lesson

What is another term for the gradient of a line?

Variable
Intercept
Slope (correct)
Function Value

Which of the following is NOT a way to represent relationships between variables?

Flow diagrams
Maps (correct)
Verbal descriptions
Formulas

What does the slope of a line represent?

The input value of a function
The output value of a function
The intercept of a graph
The rate of change between variables (correct)

What is the formula to calculate the gradient of a line?

$\frac{y_2 - y_1}{x_2 - x_1}$ (C) Signup and view all the answers

What is a key feature to consider when interpreting graphs?

Shape of the Graph (A) Signup and view all the answers

What does a continuous graph indicate?

The function has no breaks (B) Signup and view all the answers

What is an input number in a function?

The value substituted into a function (A) Signup and view all the answers

What is a flow diagram used for?

To show the calculations needed to transform input into output (A) Signup and view all the answers

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) (D) Signup and view all the answers

What is the key characteristic of a function?

Each input corresponds to exactly one output (A) Signup and view all the answers

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 (B) Signup and view all the answers

What does the slope of a graph indicate?

How rapidly the output changes with respect to the input (A) Signup and view all the answers

What is the term for the value substituted into a function?

Input number (B) Signup and view all the answers

What is the first step in drawing a graph of a function?

Identify the function (A) Signup and view all the answers

What is a flow diagram used for in understanding functions?

To illustrate the steps to compute outputs from inputs (A) Signup and view all the answers

What is a characteristic of a continuous graph?

It is a smooth curve with no breaks (D) Signup and view all the answers

What is the primary purpose of representing relationships between variables in multiple ways?

To provide a comprehensive understanding of the relationship (A) Signup and view all the answers

What is the relationship between the input and output values in a function?

Each input has exactly one output (C) Signup and view all the answers

What is the significance of the intercepts in a graph?

They provide the values of the variables at the axes (C) Signup and view all the answers

What is the primary difference between a flow diagram and a formula?

A flow diagram is visual, while a formula is algebraic (C) Signup and view all the answers

What is the purpose of analyzing the shape of a graph?

To understand the nature of the relationship (D) Signup and view all the answers

What is the significance of the gradient in a graph?

It shows the rate of change between variables (C) Signup and view all the answers

What is the primary advantage of using a graph to represent a function?

It offers a visual representation of the relationship (D) Signup and view all the answers

What is the relationship between the variable and the function value?

The variable is the input, and the function value is the output (D) Signup and view all the answers

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 (D) Signup and view all the answers

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 (D) Signup and view all the answers

What is the purpose of identifying the function when drawing a graph?

To determine the formula or rule that defines the function (D) Signup and view all the answers

What is the main advantage of using a graph to represent a function?

It provides a clear visual representation of the relationship between variables (D) Signup and view all the answers

What is the main characteristic of a function value?

It is a specific output corresponding to a given input (D) Signup and view all the answers

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 (D) Signup and view all the answers

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 (A) Signup and view all the answers

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 (B) Signup and view all the answers