Math

A logarithmic function of the form f(x)= log_b x+c has an x-intercept at x= 1 and a vertical asymptote at y= 0. Also, f(x) intersects with the line y= 1 when x= 8. What is f(x)?

Is it log_8 x+1?

  1. 👍
  2. 👎
  3. 👁
  1. I assume you are saying:
    f(x) = logb x + c
    and (1,0) , (8,1) are on it.
    using the first point:
    0 = logb 1 + c
    0 = 0 + c , log 1 to any base = 0
    c = 0
    so y = logb x
    using the 2nd point
    1 = logb 8
    b^1 = 8
    b = 8
    so f(x) = log8 x

    Your "a vertical asymptote at y= 0" makes no sense
    that is like saying: there is a vertical asymptote at the x-axis.

    However my equation has a vertical asymptote when x = 0

    1. 👍
    2. 👎
  2. It was in the question, I don't know.

    Thank you for your help!

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. Mathematics

    For question 1 & 2, find the x- and y-intercept of the line. 1. -10x + 5y = 40 A. x-intercept is 5; y-intercept is -10 B. x-intercept is 8; y-intercept is -4 C. x-intercept is -10; y-intercept is 5 D. x-intercept is -4;

  2. Algebra

    Graph y=5^x and y=log_5 x on a sheet of paper using the same set of axes. Use the graph to describe the domain and range of each function. Then identify the y-intercept of each function and any asymptotes of each function. So far

  3. Algebra

    Find the slope and y- intercept of a line by writing the equation in slope- intercept form.Hint: Convert the given equation form into the slope-intercept form as deemed necessary: a. y=4-2/3 x b. 3x+7y-10=0 c. y-4=2x d. 2y-10=2x

  4. Algerba

    Find slope and y-intercept of following equation y=-3 x -2 knowing the slope of intercept 5 formula is y=mx+b slope is m or -3 y=-3 or m (0) -2 m=slope 5 5 y-intercept = let x=o solve for y y=0-2 y=-2 You can tell by inspecting

  1. Math

    1. What is the intercept (y-intercept) of the function y = 2.5x + 8 is it 8? 2. What is the x-intercept of the function y = 2.5x + 8 i'm honestly not sure... 3. What is the slope of the function y = 2.5x + 8 um...is it 2.5? 4. The

  2. MATH HELP

    When the function f(x) = 4(2)^x is changed to f(x) = 4(2)^x − 13, what is the effect? There is no change to the graph because the exponential portion of the function remains the same. The x-intercept is 13 spaces higher. The

  3. math

    This is for the pretest. What is the solution to the system of equations pictured below? A.(-3,5) B.(-3,-2) C(3,4) D.(1,2) E(6,-2) When writing in slope intercept form what does the 'm" Represent? What is the 'b'? A. M is the x

  4. Algebra

    Please Help Guys! 1) Why is f(x)=(3x+13)2+89 not the vertex form of f(x)=9x2+2x+1? A.The expression has a constant outside of the squared term. B. The expression is not the product of two binomials. C. The variable x has a

  1. Math-True OR False Please Help!

    True or False? If the inverse function of f exists, and the graph of f has a y-intercept, the y-intercept of f is an x-intercept of f^-1

  2. Math

    In order to compare to function to determine which has the greater output for the input 0, which characteristic of the function should be compared? a) rate of exchange b) slope c) x-intercept d) y-intercept is it the y-intercept?

  3. Algebra

    Write the slope-intercept (y = mx + b) form of the equation y=x/2-3 Write the slope-intercept (y = mx + b) form of the equation y=2x+5 Write the slope-intercept (y = mx + b) form of the equation y=-5/7x-54/7 Write the

  4. Math

    Which description is correct for the x-intercept(s) of Function A and Function B? Function A: x g(x) −2 0 3 7 5 0 −1 2 0 −2 Function B: f(x)=|x|−3 A.Both functions have one negative and one positive x-intercept. B.

You can view more similar questions or ask a new question.