Question

Which of the following shows a function written in equation notation that is equivalent to the function below?

f(x) = 3(X + 8)
A. y = 3f(x) - 8
B. y = 3x + 8
C. y = 3(X + 8)
D.y = 3f(x) - 24

Answer 1

The correct answer is C, y = 3(X + 8), as it is the equation notation that is exactly equivalent to the function f(x) = 3(X + 8).

Step-by-step explanation:

The student is asking which of the following is equivalent to the function f(x) = 3(X + 8). The correct answer is C, which states y = 3(X + 8). This is because the question asks for an equation in equation notation that shows the same relationship between x and y as the original function f(x). Options A, B, and D either alter the function or express a different relationship. For example, option A incorrectly multiplies the function by 3 and subtracts 8, altering the original function. Option B simplifies the function incorrectly, omitting the necessary multiplication inside the parenthesis. Option D similarly multiplies the function by 3 and then subtracts 24, changing the function's values. This is because the question asks for an equation in equation notation that shows the same relationship between x and y as the original function f(x). Options A, B, and D either alter the function or express a different relationship.