Determine the domain and range of logarithms from equations of functions - High school Algebra I Exercises

Find the domain and the range of the following functions.

f : x \longmapsto \log_2\left(x+3\right)

f :\left(-3,\infty\right)\longrightarrow \left(-\infty,\infty\right)

f :\left[-3,\infty\right)\longrightarrow \left(-\infty,\infty\right)

f :\left(-3,\infty\right)\longrightarrow \left(0,\infty\right)

f :\left[-3,\infty\right) \longrightarrow \left(0,\infty\right)

f : x \longmapsto \log_3\left(3x+5\right)

f :\left(-\dfrac{5}{3},\infty\right) \longrightarrow \left(-\infty,\infty\right)

f :\left[-\dfrac{5}{3},\infty\right) \longrightarrow \left(-\infty,\infty\right)

f :\left(-\dfrac{5}{3},\infty\right)\longrightarrow \left(0,\infty\right)

f :\left[-\dfrac{5}{3},\infty\right)\longrightarrow \left(0,\infty\right)

f : x \longmapsto \log_5\left(x^2+1\right)

f :\left(-\infty,\infty\right)\longrightarrow \left[0,\infty\right)

f :\left(-1,\infty\right) \longrightarrow \left(-\infty,\infty\right)

f :\left(-1{,}1\right)\longrightarrow\left(0,\infty\right)

f :\left(1,\infty\right) \longrightarrow \left(-\infty,\infty\right)

f : x \longmapsto \log_2\left(1-x^2\right)

f :\left(-1{,}1\right) \longrightarrow \left(-\infty,0\right]

f :\left[-1{,}1\right] \longrightarrow \left(-\infty,\infty\right)

f :\left(-\infty,-1\right)\cup\left(1,\infty\right) \longrightarrow \left(-\infty,\infty\right)

f :\left(-1{,}1\right) \longrightarrow \left(0,\infty\right)

f : x \longmapsto \log_2\left(x^2-4\right)

f :\left(-\infty,-2\right)\cup\left(2,\infty\right) \longrightarrow \left(-\infty,\infty\right)

f :\left(-2{,}2\right)\longrightarrow \left(-\infty,\infty\right)

f :\left[-2{,}2\right] \longrightarrow \left(0,\infty\right)

f :\left(-\infty,-2\left]\cup\right[2,\infty\right) \longrightarrow \left(-\infty,\infty\right)

f : x \longmapsto \log_9\left(9-x^2\right)

f :\left(-3{,}3\right) \longrightarrow \left(-\infty,1\right]

f :\left[-3,\infty\right) \longrightarrow \left(-\infty,\infty\right)

f :\left(-3,\infty\right)\longrightarrow \left(0,\infty\right)

f :\left[-3,\infty\right) \longrightarrow \left(0,\infty\right)

f : x \longmapsto \log_2\left(x^4\right)

f :\left(-\infty,0\right)\cup \left(0,\infty\right) \longrightarrow \left(-\infty,\infty\right)

f :\left(-\infty,0\right)\cup \left(0,\infty\right) \longrightarrow \left(0,\infty\right)

f :\left(0,\infty\right)\longrightarrow \left(-\infty,\infty\right)

f :\left(-\infty,0\right)\longrightarrow \left(-\infty,\infty\right)