Question

74834 x 3

Answer 1

you can check it using

https://www.desmos.com/calculator

Answer 2

3 units left
4 units down

SHIFTED FROM ln(x)

Answer 3

and yes, desmos would be reasonable.
Unless you want a logical reasoning behind your answer.

Answer 4

The domain:
Has to be greater than 3, because if x=<3, then ln(x) is undefined.

Any number from 3 (but not including 3, is the domain, including infinity)


It is concave up, (based on the graph)
And
f '(x)=1/(x+3)
f ''(x)= -1/x^2+6x+9

and as x-> -infinity,
the f''(x) is about a zero,

as x-> -3, it is zero (inflection point or something happening. in this case undefined)

but the greater x, from -inf to 0 the more increasing the f ''(x) and thus f(x) is concave up there...



I won't do the entire observation though, you can tell that it is logical to be the graph of ln(x+3)-4

Answer 5

by the way (-inf , 0) it is increasing (the slope I mean)

not the concavity.

Answer 6

sorry for confusing you....