Linear functions are an important part of Year 11 math, especially when we talk about graphs. Here’s a simple overview of what they are:
Equation Format: Linear functions usually follow this format:
y = mx + c
Graph Shape: The graph of a linear function is always a straight line.
This is different from curves or bends that you might see in other types of functions, like quadratic or cubic ones.
Constant Rate of Change: The slope m shows how much y changes when x changes.
For example, if m = 2, then for every increase of 1 in x, y goes up by 2.
Domain and Range: The domain (the possible values for x) and range (the possible values for y) of linear functions are usually all real numbers, unless stated differently.
Intersections: Every linear function will touch the axes at specific points.
This makes it easier to sketch the graph.
Understanding these basics makes working with linear functions simple and a fun way to get ready for more complicated functions later on!
Linear functions are an important part of Year 11 math, especially when we talk about graphs. Here’s a simple overview of what they are:
Equation Format: Linear functions usually follow this format:
y = mx + c
Graph Shape: The graph of a linear function is always a straight line.
This is different from curves or bends that you might see in other types of functions, like quadratic or cubic ones.
Constant Rate of Change: The slope m shows how much y changes when x changes.
For example, if m = 2, then for every increase of 1 in x, y goes up by 2.
Domain and Range: The domain (the possible values for x) and range (the possible values for y) of linear functions are usually all real numbers, unless stated differently.
Intersections: Every linear function will touch the axes at specific points.
This makes it easier to sketch the graph.
Understanding these basics makes working with linear functions simple and a fun way to get ready for more complicated functions later on!