input 2 4 3 2 output 20 40 30 40 Determine whether each relation is a function.(4 points)

Question

Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.
y=2x3y=2x3
Function
Not a Function
Function

Answer 1

To determine if the relation \( y = 2x^3 \) is a function, we need to remember that a relation is a function if every input corresponds to exactly one output.

Given the equation \( y = 2x^3 \), for every value of \( x \) there is a unique value of \( y \). For example:

• If \( x = 2 \), then \( y = 2(2^3) = 2(8) = 16 \).
• If \( x = 4 \), then \( y = 2(4^3) = 2(64) = 128 \).
• If \( x = 3 \), then \( y = 2(3^3) = 2(27) = 54 \).
• If \( x = 2 \) (again), \( y = 16 \) (as calculated before).

Since for every input \( x \) there is only one corresponding output \( y \), the relation is indeed a function.

So the answer is: Function.