When figuring out intercepts on graphs, students often make some common mistakes. Here are some key errors to avoid:

1. Mixing up the x-intercept:

   • The x-intercept is where the value of $y$ is 0. Sometimes, students don’t solve the equation correctly for this point, which leads to wrong answers.

2. Forgetting about the y-intercept:

   • The y-intercept happens where $x$ is 0. If students forget to plug $x=0$ into the equation, they might miss finding the y-intercept.

3. Making graph errors:

   • Some students misunderstand how to read graphs. If they don’t pay attention to the scaling, they can make mistakes when trying to find intercepts.

4. Ignoring multiple intercepts:

   • Some functions can have more than one x-intercept. For example, quadratic functions can have zero, one, or two x-intercepts, but this idea isn’t always understood.

5. Mistakes in calculations:

   • Simple math errors can change the answers. It’s important to be careful with calculations to find intercepts accurately.

By avoiding these mistakes, students can get a better grasp of how function graphs work!