For the curve y = log(x+3), determine the following:

Question

A) the asymptotes,

B)the intercepts,

C)the domain and range

Answer 1

There is a vertical asymptote at x=-3
for y-intercept, let x = 0
y = log3
for x-intercept , let y = 0
log(x+3) = 0
log(x+3) = log 1
x+3 = 1
x = -2

domain: x > -3
range, y is any real number.