Which list correctly states the standard properties of $y=b^x$ for an admissible base $b$? Where $b>0$ and $b\ne 1$.

$y$-intercept: $(0,0)$

Horizontal asymptote: $y=1$

Domain: $(-\infty ,\infty )$

Range: $(-\infty ,\infty )$

$y$-intercept: $(1,0)$

Vertical asymptote: $x=0$

Domain: $[0,\infty )$

Range: $(-\infty ,\infty )$

No intercepts

No asymptotes

Domain: $(-\infty ,\infty )$

Range: $(-\infty ,\infty )$

$y$-intercept: $(0,1)$

Horizontal asymptote: $y=0$

Domain: $(-\infty ,\infty )$

Range: $(0,\infty )$