Which of the following functions has a rate of change that stays the same?
y = x^2 – 5x –14
y = 19x – 10
y = 5^x
y = 0.03x^2 + 11x + 1
3 answers
y = 19x – 10
how can I find that out
In order to determine which function has a rate of change that stays the same, we need to look at the coefficients of the variables in the function. The rate of change of a function is given by the coefficient of x in the function.
The function y = 19x - 10 has a rate of change of 19, which means that the function has a constant rate of change.
In contrast, the other functions have terms with x raised to a power or coefficients that are not constant. For example, y = x^2 - 5x - 14 has a changing rate of change as x changes since it includes a term x^2.
Therefore, the only function with a rate of change that stays the same is y = 19x - 10.
The function y = 19x - 10 has a rate of change of 19, which means that the function has a constant rate of change.
In contrast, the other functions have terms with x raised to a power or coefficients that are not constant. For example, y = x^2 - 5x - 14 has a changing rate of change as x changes since it includes a term x^2.
Therefore, the only function with a rate of change that stays the same is y = 19x - 10.