Answer:
Graph is attached
Step-by-step explanation:
we are given
[tex]y=log(x)[/tex]
we know that base of log is 10 by default
Domain:
we know that domain is all possible values of x for which any function is defined
and we know that value inside log should always be positive and greater than 0
so, we get domain as
[tex](0,\infty)[/tex]
Range:
we know that range is all possible y-values
log value be negative positive or zero
so, range will be
[tex](-\infty,\infty)[/tex]
x-intercept:
we can set y=0
and find x
[tex]0=log(x)[/tex]
[tex]10^0=10^{log(x)}[/tex]
[tex]x=1[/tex]
y-intercept:
we can plug x=0 and find y
[tex]y=log(0)[/tex]
[tex]y=undefined[/tex]
now, we can draw graph
Graph:
