is this a function:

Question

y = 8x^2

Answer 1

Yes, the equation \( y = 8x^2 \) is a function. In this context, for every input value of \( x \), there is exactly one output value of \( y \).

For any given \( x \), you can substitute it into the equation to get a corresponding \( y \) value. The graph of this function is a parabola that opens upwards, and it passes through the origin (0, 0). Since each input \( x \) produces only one output \( y \), it satisfies the definition of a function.

Answer 2

what about 4x + 53 = y

Answer 3

Yes, the equation \( 4x + 53 = y \) is also a function.

In this case, for any input value of \( x \), you can compute a unique output value of \( y \) using the equation. It represents a linear function, which is a straight line when graphed.

For every \( x \), there is exactly one corresponding \( y \), satisfying the definition of a function. Therefore, \( y \) is a function of \( x \).