Domain Range and End Behavior

$$x\ge0$$

$$x>0$$

$$\left(-\infty,\ \infty\right)$$

$$\left[0,\infty\right)$$

1 ≤ x ≤ 5

1 < x < 5

1 ≤ y ≤ 5

1 < y < 5

$$As\ x\ \rightarrow+\infty,\ f\left(x\right)\rightarrow-\infty$$

$$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty$$

$$As\ x\rightarrow+\infty,\ f\left(x\right)\rightarrow+\infty$$

$$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow+\infty$$

$$As\ x\rightarrow+\infty,\ f\left(x\right)\rightarrow-\infty$$

$$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow+\infty$$

$$As\ x\rightarrow+\infty,\ f\left(x\right)\rightarrow+\infty$$

$$As\ x\rightarrow-\infty,\ f\left(x\right)\rightarrow-\infty$$

$$y\ge0$$

$$\left(-\infty,\ \infty\right)$$

$$\left(-\infty,\ 0\right)$$

$$\left[0,\infty\right)$$  

All real numbers

All real numbers

$$y\ge-9$$  

$$y\le-9$$

$$-10\le x\le2$$

$$-13\le x\le5$$

x →-∞, y→∞

x →-∞, y→-∞

$$-2<x\le8$$  

$$-4\le y<6$$  

$$-6<x\le8$$  

$$-2<x\le-4$$  

all real numbers

All Real Numbers

x < 6

-2 < x < 6

x ≤ -2

$$-2\le x$$  

$$-7\le y\le7$$

$$0\le y$$

$$0\le x\le9$$  

$$0\ \le y\le80$$  

$$0\le y\le9$$

$$0\le x\le80$$

$$0<x<9$$

$$0<y<80$$