Create a poster about GRAPHS for a Mathematics class. Include a summary, layout instructions, definition, and differentiate between linear and non-linear graphs.

Here are the answers to the questions:

1.1 Summarise the most important information on GRAPHS and help your classmate to understand the topic better.
Graphs are visual tools used in mathematics to represent the relationship between two or more variables. They help us understand patterns, trends, and how quantities change in relation to each other. Key components include axes (usually $x$ and $y$), data points, and a line or curve connecting these points, providing a clear picture of data that might be hard to interpret from raw numbers alone.

1.2 Your topic GRAPHS must appear on the top left corner of the paper in bigger capital letters and group members (max. of 5) names on the top right corner of the A3 paper.
This is an instruction for the poster layout. Ensure "GRAPHS" is prominently displayed in capital letters on the top left, and the names of up to five group members are on the top right of your A3 paper.

1.3 Definition of GRAPHS in relation to MATHEMATICS subject.
In mathematics, a graph is a diagram that shows the relationship between two or more variables, typically plotted on a coordinate plane. It provides a visual representation of how one quantity changes as another quantity varies, making complex data easier to interpret and analyze.

1.4 Differentiate LINEAR and NON-LINEAR GRAPHS and draw or paste pictures for each respectively.

• Linear Graphs: These graphs represent a constant rate of change between variables, resulting in a straight line when plotted. Their general equation is $y = mx + c$, where $m$ is the gradient and $c$ is the y-intercept. Example: The graph of $y = 2x + 3$ is a straight line.
• Non-Linear Graphs: These graphs represent a changing rate of change between variables, resulting in a curve when plotted. Their equations involve variables raised to powers other than one (e.g., $x^2$, $x^3$) or other complex functions. Example: The graph of $y = x^2$ is a parabola (a U-shaped curve). The graph of $y = \frac{1}{x}$ is a hyperbola.

1.5 Explain at least 2 real life examples where GRAPHS are used and why graphs are important in each case. Examples may include home, in your community, in business, in a province or in our country.

• Tracking Temperature Changes: In a home or community, graphs can display how the temperature changes throughout the day or over a week. This is important because it helps individuals understand weather patterns, plan daily activities, or manage energy consumption for heating and cooling.
• Analyzing Business Sales Performance: Businesses use graphs to visualize sales figures over different periods (e.g., monthly, quarterly, annually). This is crucial for identifying sales trends, peak seasons, and areas of decline, which informs strategic decisions for marketing, inventory management, and overall business growth.

1.6 Name at least one MATHS career where results analysed from GRAPHS are used to eliminate, reduce or solve problems faced by South Africans.

• Data Scientist: Data scientists extensively use graphs to visualize and analyze large datasets. They can apply this to problems faced by South Africans such as tracking the spread of diseases, analyzing crime rates to identify hotspots, or modeling economic trends to inform policy decisions aimed at reducing unemployment or poverty.