SOLUTION: Write the logarithmic function with x = 2 as its vertical asymptote and (3,0) as the x-intercept.
Algebra.Com
Question 1159026: Write the logarithmic function with x = 2 as its vertical asymptote and (3,0) as the x-intercept.
Answer by greenestamps(13214) (Show Source): You can put this solution on YOUR website!
For the logarithmic function , the vertical asymptote is x=0. So a vertical asymptote at x=2 means the function is shifted 2 to the right.
So the function is .
To find the constant multiplier a, substitute the coordinates of the x-intercept:
That says a can be any constant.
Here is a graph of a*log(x-2) with 3 values of a -- 1 (red), 3 (green), and -2(blue).
RELATED QUESTIONS
The graph of a logarithmic function f with the vertical asymptote x = −9
and... (answered by josgarithmetic)
The graph of a logarithmic function f with the vertical asymptote x = −9
and... (answered by josgarithmetic)
Write a function with the following characteristics:
A vertical asymptote at x=3
A... (answered by josgarithmetic)
Describe the following characteristics of the logarithmic function y = logax.
1)... (answered by lwsshak3)
What is the domain,range,vertical asymptote and x intercept of the logarithmic function... (answered by Nate)
Write a rational function that has the following attributes:
Vertical asymptote: x=-1,... (answered by mouk)
Write an equation of a rational function {{{f(x)= p(x)/q(x)}}}
having the indicated... (answered by robertb)
Write the equation given information:
Hole when x=-2
Horizontal asymptote y=0... (answered by MathLover1)
Find the domain, x-intercept, and vertical asymptote of the logarithmic function and... (answered by MathLover1)