Considering the two properties given:
1) f(x) = -3 [as x approches negative infinity]
This can be written mathematically as:
[tex]\lim _{x\to-\infty}f(x)\text{ = -3}[/tex]This means that as x → ∞, f(x) = -3
2) f(x) = - infinity [as x approches positive infinity]
[tex]\lim _{x\to\infty}=\text{ -}\infty[/tex]Taking note of these properties, the funnction, f, can be plotted as shown below:
