Properties of Exponents
Which of the following are TRUE regarding
f
(
x
)
=
log
b
x
\displaystyle {f{{\left({x}\right)}}}={{\log}_{{b}}{x}}
f
(
x
)
=
lo
g
b
x
(
b
>
0
\displaystyle {b}>{0}
b
>
0
and
b
≠
1
\displaystyle {b}≠{1}
b
=
1
)? Check all that apply.
The Domain is
All Real Numbers
\displaystyle \text{All Real Numbers}
All Real Numbers
The Vertical Intercept does not exist
The vertical asymptote is
x
=
0
\displaystyle {x}={0}
x
=
0
The Range is
f
(
x
)
≥
0
\displaystyle {f{{\left({x}\right)}}}\ge{0}
f
(
x
)
≥
0
The Horizontal Intercept does not exist
The Domain is
x
>
0
\displaystyle {x}>{0}
x
>
0
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