Much of this course will focus on examining how functions grow. Examine two ways a straight line grows by completing the parts below.

1. Sketch $f(x) = 2x + 3$. What are $f\left(0\right)$, $f\left(1\right)$, $f\left(2\right)$, and $f\left(3\right)$? How does $f$ grow as $x$ increases?

   Hint (a):

   How do the $f(x)$ values change as $x$ increases? Do these values increase, decrease or stay constant?

2. Sketch $g(x)=-3x+10$. What are $g\left(0\right)$, $g\left(1\right)$, $g\left(2\right)$, and $g\left(3\right)$? How does $g$ grow as $x$ increases?

   Hint (b):

   How do the $f(x)$ values change as $x$ increases? Do these values increase, decrease or stay constant?