The rate of change is 1/2.
the end behavior of the function is:
as x → ∞, f(x) → ∞
as x → -∞, f(x) → -∞
What is the rate of change?
Here we have a simple linear function:
y = (1/2)*x + 3
Remember that for a general linear function we have:
y = a*x + b
Where a is the rate of change and b is the y-intercept.
Then comparing our function with the general one, we can see that the rate of change is 1/2.
Now, because the rate of change is positive, we can see that when x tends to infinity the function also tends to infinity.
And when x tends to negative infinity also does f(x).
Then the end behavior of the function is:
as x → ∞, f(x) → ∞
as x → -∞, f(x) → -∞
If you want to learn more about linear functions:
https://brainly.com/question/4025726
#SPJ1
