pre cal

Find a possible formula for the function graphed below. Assume the function has only one x-intercept at the origin, and the point marked on the graph below is located at (2,12). The asymptotes are x=−2 and x=1. Give your formula as a reduced rational function.

  1. 👍
  2. 👎
  3. 👁
  1. the asymptotes mean

    y = ??? / (x+2)(x-1)

    y(0)=0, so

    y = ax / (x+2)(x-1)

    y(2) = 12, so

    12 = 2a/4
    a = 24

    y = 24x / (x+2)(x-1)

    1. 👍
    2. 👎
  2. ty!

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. mathematics

    The exponential decay graph shows the expected depreciation for a new boat, selling for $3500, over 10 years. A coordinate graph is shown. The horizontal axis extends from 0 to 12 years. The vertical axis extends from 0 to 9500

  2. Calculus Finals Review sheet!! Explanation needed

    Here is a graph of the derivative y' of a continuous, differentiable function. For approximately what values of x between −5 and 5 does the original function y have inflection points? Find limit as x approaches 3.5

  3. 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

  4. algebra

    1.What is the slope of the function shown on the graph? A line is graphed on a four quadrant coordinate plane. The x-axis and the y-axis go from negative 10 to 10 in increments of 1. The line passes through (0, 7) and (4, 2).


    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

  2. 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 it 2.5? 4. The

  3. Calculus Help

    The formula C =5/9(F − 32), where F ≥ −459.67, expresses the Celsius temperature C as a function of the Fahrenheit temperature F. Find a formula for the inverse function. What is the domain of the inverse function? (Enter

  4. Math (Secant Lines)

    Consider the function f(x)=sqrt(x) and the point P(4,2) on the graph of f? -Consider the graph f with secant lines passing through p(4,2) and Q(x,f(x)) for x-values 1, 3, and 5. -Find the slope of each secant line -Use the results

  1. math

    find a function y=ax^2+bx+c whose graph has an x-intercept of 1, a y-intercept of -2, and a tangent line with slope -1 at the y-intercept.

  2. pre cal

    Find a possible formula for the function graphed below. The x-intercept is marked with a point located at (5,0), and the y-intercept is marked with a point located at (0,−0.833333333333333). The asymptotes are y=−1 and x=6.

  3. 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?

  4. Math

    Assume it costs Microsoft $4,300 to manufacture 7 Xbox 360s and $8,290 to manufacture 14. Obtain the corresponding linear cost function. C(x)= (what formula do I use to get the cost function, because I can't get it) What was the

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