Of the functions below, which eventually will have the have the greatest rate of change compared to the others? (1 point)

Question

Responses

y = 3x + 10
y = 3x + 10

y = x2 + 8x + 1
y = x2 + 8x + 1

y = 2x − 3
y = 2x − 3

Answer 1

The function that will eventually have the greatest rate of change compared to the others is:

y = 2x − 3

This is because the rate of change for a linear function (y = mx + b) is the same constant value of "m" throughout the function, while the rate of change for a quadratic function (y = ax^2 + bx + c) changes over time due to the squared term. In this case, the linear function y = 2x - 3 will have a greater rate of change compared to the other functions.