Linear functions, graphs and equations Linear functions are fundamental building blocks in mathematics and play a key role in solving real-world problems where the rate of change remains constant.

Graphing a linear function. To graph a linear function: 1. Find 2 points which satisfy the equation. 2. Plot them. 3. Connect the points with a straight line. Example: y = 25 + 5x. let x = 1 then y = ...

Visualizing Functions as Graphs. In the applet below is intended to help you understand the connection between the graph of a function and the function itself. Recall that a function can be thought of ...

Linear Functions . Mathematically ... Examples of Linear Relationships Example 1 . ... These equations express a linear relationship on a graph: ...

Capture relationships between data sets by graphing linear equations in Microsoft Excel 2007. ... For example, if you are graphing the relationship between marketing spending and revenue, ...

Linear functions are known for their straight ... After giving them a few examples, the teacher can ask them to identify other situations where exponential growth is present, such as population growth ...

A linear model is a function that has a constant rate of change, meaning that the output changes by the same amount for any given change in the input. For example, y = 2x + 5 is a linear model ...

Linear and nonlinear programming are two types of optimization methods that can help you find the best solution to a problem involving decision variables, constraints, and an objective function.

Plotting linear graphs Going from rule to graph. To sketch a linear graph from a rule, determine two points that satisfy the rule and connect them with a straight line. Two commonly used methods are: ...

In such cases a non-linear function must be used. Non-linear means the graph is not a straight line. The graph of a non-linear function is a curved line. A curved line is a line whose direction ...