One common mistake students make with function notation is thinking that (f(x)) means to multiply (f) and (x).
They might confuse it with (f \cdot x), but that’s not correct!
Another mistake is when they substitute values. Many forget to replace the whole (x) with the number given. For example, when they see (f(2)), they need to actually figure out what that means instead of just writing it down.
Finally, some students believe that functions can only be straight lines. They ignore other kinds of functions, like quadratic or exponential functions.
Remember, functions can come in many different shapes and forms!
One common mistake students make with function notation is thinking that (f(x)) means to multiply (f) and (x).
They might confuse it with (f \cdot x), but that’s not correct!
Another mistake is when they substitute values. Many forget to replace the whole (x) with the number given. For example, when they see (f(2)), they need to actually figure out what that means instead of just writing it down.
Finally, some students believe that functions can only be straight lines. They ignore other kinds of functions, like quadratic or exponential functions.
Remember, functions can come in many different shapes and forms!