Question

Describe the characteristics of the

function f(x) = 4ln(x - 2) in terms of
its domain and range, asymptote, and
x- and y-intercepts.

Answer 1

Sory if it is wrong.

Explanation:

ln(x) is only defined for

x>−2

for real numbers.

xaxis intercepts occur when

y=0:y=ln

x+2)

ln(x+2)=0

This has no solution, because

excan never equal 0.

No x axis intercepts.

Y axis intercept occurs when

x=0

ln (0+2)=ln(2)≈

0.69314718

Vertical asymptotes occur where

ln

(x+2)

is undefined:ln

(x+2)

is undefined when

x=−2

So the line

x=−2

is a vertical asymptote. graph{ln(x+2) [-22.81, 22.8, -11.4, 11.41]}