SOLUTION: Find the domain, range, vertical asymptote and x-intercept of the laogarithmic function and sketch its graph f(x)=Log subscript 7(x/14)

Algebra ->  Coordinate-system -> SOLUTION: Find the domain, range, vertical asymptote and x-intercept of the laogarithmic function and sketch its graph f(x)=Log subscript 7(x/14)      Log On


   

Question 48837: Find the domain, range, vertical asymptote and x-intercept of the laogarithmic function and sketch its graph
f(x)=Log subscript 7(x/14)
Answer by Nate(3500) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29+=+log%287%2Cx%2F14%29
Domain: 7%5E%28f%28x%29%29+=+x%2F14 seven to any real power will not equal a negative number or zero .... so: x+%3E+0 so vertical asymptote: x+=+0
Range: all real values
x-intercept:
7%5E%28f%28x%29%29+=+x%2F14
7%5E0+=+x%2F14
1+=+x%2F14
14+=+x
graph%28600%2C600%2C-2%2C28%2C-2%2C2%2Clog%287%2Cx%2F14%29%29