The function with the greatest rate of change would be the one with the largest coefficient on x. Looking at the three functions:
a. y = 2^x - 1 -> exponential growth but slow compared to linear functions
b. y = 9x + 30 -> linear function with a coefficient of 9
c. y = 3x^2 + x + 4 -> quadratic function, but the largest coefficient on x is 1
Therefore, function b (y = 9x + 30) will eventually have the greatest rate of change compared to the other functions.
Of the functions below, which eventually will have the have the greatest rate of change compared to the others?
a. y = 2^x - 1
b. y = 9x + 30
c. y = 3x^2 + x + 4
1 answer
1 answer