4. If the independent variable x = 0, then y’ = bo, the y-intercept.
true or false?
true
To determine whether the statement is true or false, we need to understand the relationship between the independent variable (x) and the derivative of the dependent variable (y').
The derivative of a function represents the rate of change of the function with respect to its independent variable. In this case, y' represents the derivative of y with respect to x.
If the independent variable x = 0, it means that x has a value of zero. In this context, the given statement is saying that when x is zero, the derivative y' will evaluate to the y-intercept, denoted as bo.
This statement is indeed true. When the independent variable has a value of zero, the derivative (rate of change) of the dependent variable will give us the value of the function at the y-intercept, also known as bo.