When combining two functions by addition, what is the method used?

Prepare for the NYSTCE 222 – Childhood Mathematics Exam with interactive quizzes. Use flashcards and multiple choice questions, with hints and explanations for each question. Ace your test!

When combining two functions using addition, the correct method is to add them together. This means that if you have two functions, let's call them f(x) and g(x), the combined function using addition would be expressed as (f + g)(x) = f(x) + g(x).

This operation is straightforward: for every input value x, you compute the output by getting the value of each function at that input and then summing those values. Addition of functions is a fundamental concept in mathematics that illustrates how two different relationships can be combined to create a new one.

The other methods referenced involve different operations that do not pertain to addition. Subtraction, multiplication, and division represent distinct mathematical actions, each creating different outcomes and relationships when applied to functions. Therefore, the method of combining functions by addition explicitly requires summing their outputs, affirming that the correct choice reflects this essential concept in function operations.

Subscribe

Get the latest from Examzify

You can unsubscribe at any time. Read our privacy policy