Characteristics of Log Functions

$$x=-3$$  

$$x=3$$  

$$y=3$$  

$$y=-3$$  

$$\log_2\left(x+1\right)$$  

$$\log_2\left(x-1\right)$$  

$$\log_2\left(x\right)+1$$  

$$\log_2\left(x\right)-1$$  

$$x=3$$  

$$x=-1$$  

$$y=1$$  

$$x=1$$  

$$a\left(x\right)$$  

$$b\left(x\right)$$  

$$c\left(x\right)$$  

$$d\left(x\right)$$  

Domain: $$\left(asymptote,\ \infty\right)$$  

Domain: $$\left(-\infty,\ asymptote\right)$$  

Domain: $$\left[asymptote,\ \infty\right]$$  

Domain: $$\left[-\infty,\ asymptote\right]$$  

$$-\ln\left(x+3\right)$$  

$$-\ln\left(x-3\right)$$  

$$-\ln\left(x\right)-3$$  

$$-\ln\left(x\right)+3$$  

y = log₂ x

y = log₃ (x+2)

y = log₄ (x - 2)

y = log₇ x - 2

$$\left(-\infty,\infty\right)$$  

$$\left(-2,\infty\right)$$  

$$\left(3,\infty\right)$$  

$$\left(-3,\infty\right)$$  

$$\left(-\infty,\infty\right)$$  

$$\left(2,\infty\right)$$  

$$\left(-2,\infty\right)$$  

$$\left(-\infty,2\right)$$