In the context of functions and graphs, which of the following statements best describes a linear function?

1 question

A function that has a constant rate of change and can be represented by a straight line.
A function that varies exponentially and is represented by a curve.
A function that has multiple outputs for a single input.
A function that is defined only for positive integers.

1 item

Q: In the context of functions and graphs, which of the following statements best describes a linear function?

Solution: A linear function is characterized by a constant rate of change, which means that its graph is a straight line.

Steps: 5

Step 1: Understand what a function is. A function is a relationship where each input has exactly one output.
Step 2: Learn about linear functions. A linear function is a specific type of function.
Step 3: Identify the key feature of linear functions: they have a constant rate of change. This means that as you increase the input (x), the output (y) changes at a steady rate.
Step 4: Visualize the graph of a linear function. When you plot a linear function on a graph, it forms a straight line.
Step 5: Remember that if the graph is not a straight line, then it is not a linear function.