Function Family Review Including Domain Range and End Behavior

$$x\ge0$$

$$x>0$$

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

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

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

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

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

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

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

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

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

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

$$y\ge0$$

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

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

$$\left[0,\infty\right)$$  

All real numbers

F

G

H

J

-4 < x ≤ 5

-4 ≤ x < 5

-3 < y < 3

-3 ≤ y ≤ 3

$$x\ge-1$$

All real numbers

$$y>0$$

$$y>-1$$

As x → -∞, y → -∞

As x → -∞, y → +∞

As x → +∞, y → -∞

As x → +∞, y → +∞

(-∞, ∞)

[-5, ∞)

[-5, -4]

[-4, ∞)

All Real Numbers

[-4, ∞)

(-∞, -4]

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

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

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

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