The following function has an initial value of 0 and a rate of change of 3 will be y = 3x and it is shown in option (D) hence option (D) will be the correct answer.
How to graph a function?
Drawing the graph of the appropriate function is the process of graphing a function.
Graphing simple functions like linear, quadratic, etc. is fairly easy, complex functions like rational, exponential, etc. require some skill and comprehension of certain mathematical thinking.
In other words graph of a function is a grammatical representation in the coordinate geometry.
Given that the function has a rate of change as 3
We know the rate of change is nothing but derivative so
dy\dx = 3
dy = 3dx
by integration
y = 3x + c now given that the initial value is zero so by putting x and y as 0.
c = 0
So the function is y = 3x so it is That the option (D) has the same behavior.
For more information about the graph of a function
https://brainly.com/question/27757761
#SPJ2
