Question

What is logarithmic graph \left(x\right)" alt="y=\log\left(x\right)" align="absmiddle" class="latex-formula">

Answer 1

Answer:

Graph is attached

Step-by-step explanation:

we are given

$y=log(x)$

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

$(0,\infty)$

Range:

we know that range is all possible y-values

log value be negative positive or zero

so, range will be

$(-\infty,\infty)$

x-intercept:

we can set y=0

and find x

$0=log(x)$

$10^0=10^{log(x)}$

$x=1$

y-intercept:

we can plug x=0 and find y

$y=log(0)$

$y=undefined$

now, we can draw graph

Graph: