The function that will eventually have the greatest rate of change is y = 3x + 10, which is a linear function with a slope of 3. Linear functions have constant rates of change, so y = 3x + 10 will have a greater rate of change compared to the other two functions.
The second function y = 2^x - 3 is an exponential function, which will eventually outpace linear functions.
The third function y = x^2 + 8x + 1 is a quadratic function, which also has a changing rate of change, but it will not grow as quickly as the exponential function.
Of the functions below, which eventually will have the greatest rate of change compared to the others?
a. y = 3x + 10
b. y = 2^x - 3
c. y = x^2 + 8x + 1
1 answer