When you start learning about functions in Algebra II, there are a few common misunderstandings that can cause confusion. Let’s clear them up!
Not Every Relation is a Function: This is a big one! A function needs to have just one output for every input. If one input gives you more than one output, then it’s not a function.
Domain and Range Aren't Always All Real Numbers: Many people think that the domain (all possible inputs) and range (all possible outputs) of a function are always all real numbers. That’s a mistake. They actually depend on the type of function. For example, with the function , the domain starts at and goes to infinity.
Vertical Line Test: Some people believe a vertical line can touch a function’s graph more than once. If it does, then it’s not a function!
Functions Don’t Have to Be Straight Lines: Functions can be straight lines, curves, or different shapes. They just have to follow the rule of having one output for each input.
By avoiding these misunderstandings, you’ll find that learning about functions becomes much easier!
When you start learning about functions in Algebra II, there are a few common misunderstandings that can cause confusion. Let’s clear them up!
Not Every Relation is a Function: This is a big one! A function needs to have just one output for every input. If one input gives you more than one output, then it’s not a function.
Domain and Range Aren't Always All Real Numbers: Many people think that the domain (all possible inputs) and range (all possible outputs) of a function are always all real numbers. That’s a mistake. They actually depend on the type of function. For example, with the function , the domain starts at and goes to infinity.
Vertical Line Test: Some people believe a vertical line can touch a function’s graph more than once. If it does, then it’s not a function!
Functions Don’t Have to Be Straight Lines: Functions can be straight lines, curves, or different shapes. They just have to follow the rule of having one output for each input.
By avoiding these misunderstandings, you’ll find that learning about functions becomes much easier!