Gr 9 MATH: Ch 7.1 Interpreting Graphs

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What is the formula to calculate the gradient of a line passing through two points (x₁, y₁) and (x₂, y₂)?

Gradient = (x₂ - x₁) / (y₂ - y₁)
Gradient = (y₂ + y₁) / (x₂ + x₁)
Gradient = (x₂ + x₁) / (y₂ + y₁)
Gradient = (y₂ - y₁) / (x₂ - x₁) (correct)

What is the purpose of a flow diagram in representing a function?

To algebraically express the function
To show the calculations needed to transform input into output (correct)
To display the values of input and corresponding output
To provide a visual representation of the function

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

Input Number (correct)
Function Value
Variable
Output Number

What is the key feature of a graph that indicates the rate of change between variables?

Slope/Gradient (C) Signup and view all the answers

What is the term for the result after applying the function to the input?

Output Number (A) Signup and view all the answers

What is the primary purpose of a graph in representing a relationship between variables?

To visually represent the relationship between variables (D) Signup and view all the answers

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

Function Value (C) Signup and view all the answers

What is the term for a quantity that can change?

Variable (A) Signup and view all the answers

What is the term for the points where the graph crosses the axes?

Intercepts (C) Signup and view all the answers

What is the term for whether the graph is a continuous line or has breaks/discontinuities?

Continuity (D) Signup and view all the answers

Which of the following representations is most useful for identifying patterns in a relationship between variables?

Graph (C) Signup and view all the answers

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 (B) Signup and view all the answers

Which of the following types of graphs is most suitable for representing a relationship that has a constant rate of change?

Linear Graph (B) Signup and view all the answers

What is the primary advantage of using a graph to represent a relationship between variables?

It provides a visual representation of the relationship (A) Signup and view all the answers

Which of the following features of a graph is most indicative of a discontinuous relationship?

A break in the graph (A) Signup and view all the answers

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 (B) Signup and view all the answers

Which of the following representations of a function is most useful for identifying the maximum or minimum value of the output?

Graph (B) Signup and view all the answers

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

It allows for precise calculations of function values (B) Signup and view all the answers

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 (D) Signup and view all the answers

Which of the following types of graphs is most suitable for representing a relationship that has a non-constant rate of change?

Quadratic Graph (B) Signup and view all the answers