Question

Which answers describe the end behaviors of the function modeled by the graph?

Answer 1

Answer:

As $x$ increases without bound, $f(x)$ increases without bound.

Step-by-step explanation:

$Given\ f(x)=413x+3\\f(1)=413+3=416\\f(2)=413\times 2+3=829\\f(3)=413\times 3+3=1242\\.\\.\\.$

Hence with the increasing value of $x$, $f(x)$ increases.

$x$ can be any value between $-\infty$ to $\infty$ and $f(x)$ can have any value between $-\infty$ to $\infty$.

Hence as $x$ increases without bound, $f(x)$ increases without bound.

This can be seen from the graph attached(with the increasing value of $x$, $f(x)$ increases.