Question

Select the correct answer what logarithm function has a y-intercept

Answer 1

A. f(x)=log(x+1)-1, is the correct answer.

Explanation:

First, I'm going to state my assumptions.

1. There is only one correct answer

2. 0 cannot be the y-intercept

3. You are not going to use imaginary units.

First, the y-intercept is found when x=0, so we are going to plug that in.

A. f(x)=log(1)-1 =-1 Correct.

B. f(x)=log(0+1)=0 Incorrect since it is assumed that 0 cannot be the y-intercept.

C. f(x)=log(0-1)+1 Impossible without using imaginary units, therefore, this answer is incorrect.

D. f(x)=log(0-1)-1 Same story as C.

Answer 2

A

Explanation:

Comment

The best way to find out the answer to this is to graph it. Once you've done that, it will be obvious once you have done that. The question is which way does y = log(x + 1) move? Left or right? Look at the red line. That's the one that has the y intercept. The line is y = log(x+1) - 1