A function with 3 variables is a mathematical relationship between three quantities, where the value of one variable is dependent on the values of the other two variables. It can be represented as f(x, y, z) = some expression using x, y, and z as variables.
One example of a real-life scenario that can be modeled using a function with 3 variables is the relationship between temperature, humidity, and air pressure in a weather system. The temperature can be affected by both humidity and air pressure, making it a function of these two variables.
To graph a function with 3 variables, you would need to use a 3-dimensional graph, with the x-axis representing one variable, the y-axis representing the second variable, and the z-axis representing the third variable. The points on the graph would then be plotted based on the values of the three variables at each point.
In a function with 3 variables, the independent variables are the two variables that are not being solved for, while the dependent variable is the one that is being solved for. In other words, the value of the dependent variable depends on the values of the two independent variables.
To solve a function with 3 variables, you would need to have three equations that relate the three variables together. You can then use algebraic methods such as substitution or elimination to solve for one of the variables. Once you have the value of one variable, you can substitute it into the other equations to solve for the remaining variables.