Gr 9 MATH: Ch 7.2 Drawing Graphs

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What is the main purpose of a flow diagram in representing relationships between variables?

To list input values and their corresponding output values

To provide a written explanation of the relationship between variables

To algebraically express the relationship between variables

To visualize the calculations that convert input values to output values (correct)

What is the formula to calculate the gradient of a line passing through two points (x_1, y_1) and (x_2, y_2)?

Gradient = (y_2 + y_1) / (x_2 + x_1)

Gradient = (x_2 - x_1) / (y_2 - y_1)

Gradient = (y_2 - y_1) / (x_2 - x_1) (correct)

Gradient = (x_2 + x_1) / (y_2 + y_1)

What is a characteristic of a function?

Each input corresponds to multiple outputs

Each output corresponds to exactly one input

Each input corresponds to exactly one output (correct)

Each output corresponds to multiple inputs

What is the purpose of a table in representing a function?

To show specific input-output pairs Signup and view all the answers

What does the slope of a graph indicate?

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

What is an output number in the context of a function?

The result after applying the function to the input Signup and view all the answers

What is the term for the specific output corresponding to a given input?

Function value Signup and view all the answers

What is the purpose of a graph in representing a function?

To visualize the relationship between variables Signup and view all the answers

What is the primary way a graph represents the relationship between variables?

Through a visual plot on a coordinate system Signup and view all the answers

Which of the following is NOT a key concept in functions?

Gradient Signup and view all the answers

When interpreting a graph, what does the continuity of the graph indicate?

Whether the graph is a continuous curve or has breaks Signup and view all the answers

What is the main difference between a table and a flow diagram in representing relationships?

A table shows input-output pairs, while a flow diagram shows the calculations Signup and view all the answers

What is the purpose of finding the intercepts when interpreting a graph?

To identify the points where the graph crosses the axes Signup and view all the answers

What is the main purpose of a formula in representing a function?

To provide a mathematical rule for computing outputs Signup and view all the answers

What does the shape of a graph typically indicate?

The type of relationship between variables Signup and view all the answers

Which representation of a function would be most useful for finding a specific output value?

Formula Signup and view all the answers

What does the gradient of a graph represent?

The rate of change of the output value with respect to the input value. Signup and view all the answers

Which of the following representations of a function is most useful for visualizing the relationship between variables?

Graph Signup and view all the answers

What is the primary purpose of finding the intercepts when interpreting a graph?

To determine the points at which the graph intersects the axes. Signup and view all the answers

Which of the following is a characteristic of a continuous graph?

It has no breaks or gaps. Signup and view all the answers

What is the primary difference between a table and a graph in representing a function?

A table lists specific input-output pairs, while a graph visualizes the relationship between variables. Signup and view all the answers

What does the shape of a graph typically indicate?

The type of relationship between variables. Signup and view all the answers

Which of the following representations of a function is most useful for computing outputs from inputs?

Flow Diagram Signup and view all the answers

What is the primary purpose of a verbal description of a function?

To describe the relationship between variables in words. Signup and view all the answers

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

It provides a visual representation of the relationship between variables. Signup and view all the answers

What is the significance of the intercepts when interpreting a graph?

They represent the points where the graph crosses the axes. Signup and view all the answers

What is the primary difference between a flow diagram and a table in representing relationships?

A flow diagram illustrates the steps to compute outputs from inputs, while a table lists input-output pairs. Signup and view all the answers

What is the primary advantage of using a formula to represent a function over a verbal description?

It provides a precise mathematical rule for computing outputs. Signup and view all the answers

What is the significance of the shape of a graph in representing a function?

It indicates the type of relationship between variables, such as linear or quadratic. Signup and view all the answers

What is the primary purpose of finding the gradient of a line?

To indicate how rapidly the output changes with respect to the input. Signup and view all the answers

What is the primary difference between a continuous graph and a discontinuous graph?

A continuous graph is a continuous curve, while a discontinuous graph has breaks or gaps. Signup and view all the answers

What is the primary purpose of using a verbal description to represent a function?

To provide a written explanation of the relationship between variables. Signup and view all the answers

Gr 9 MATH: Ch 7.2 Drawing Graphs

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Questions and Answers

What is the main purpose of a flow diagram in representing relationships between variables?

What is the formula to calculate the gradient of a line passing through two points (x_1, y_1) and (x_2, y_2)?

What is a characteristic of a function?

What is the purpose of a table in representing a function?

What does the slope of a graph indicate?

What is an output number in the context of a function?

What is the term for the specific output corresponding to a given input?

What is the purpose of a graph in representing a function?

What is the primary way a graph represents the relationship between variables?

Which of the following is NOT a key concept in functions?

When interpreting a graph, what does the continuity of the graph indicate?

What is the main difference between a table and a flow diagram in representing relationships?

What is the purpose of finding the intercepts when interpreting a graph?

What is the main purpose of a formula in representing a function?

What does the shape of a graph typically indicate?

Which representation of a function would be most useful for finding a specific output value?

What does the gradient of a graph represent?

Which of the following representations of a function is most useful for visualizing the relationship between variables?

What is the primary purpose of finding the intercepts when interpreting a graph?

Which of the following is a characteristic of a continuous graph?

What is the primary difference between a table and a graph in representing a function?

What does the shape of a graph typically indicate?

Which of the following representations of a function is most useful for computing outputs from inputs?

What is the primary purpose of a verbal description of a function?

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

What is the significance of the intercepts when interpreting a graph?

What is the primary difference between a flow diagram and a table in representing relationships?

What is the primary advantage of using a formula to represent a function over a verbal description?

What is the significance of the shape of a graph in representing a function?

What is the primary purpose of finding the gradient of a line?

What is the primary difference between a continuous graph and a discontinuous graph?

What is the primary purpose of using a verbal description to represent a function?

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