which of the following functions has a rate of change that stays the same?

Question

A) y=4^x
B) y=1/5x^2
C) y=-6x+8
D) y=x^2+3

Answer 1

A) y=4^x and B) y=1/5x^2 are exponential and quadratic functions respectively and their rates of change change with the change in x-values.

C) y=-6x+8 is a linear function where the rate of change stays the same at -6.

D) y=x^2+3 is a quadratic function and the rate of change changes with the change in x-values.

Therefore, the function with a rate of change that stays the same is option C) y=-6x+8.