Math

Explain how you can determine if a linear factor of a function is squared or cubed by examining the graph of the function.

Halp I don't know :|

  1. 👍
  2. 👎
  3. 👁
  1. If a linear factor is a single root, the graph crosses the x-axis there, at some sloping direction.

    If it is a double root (or some higher even order), the graph just touches the x-axis

    If it is a triple root (or higher odd order), it crosses the x-axis, but is also tangent to it.

    Think of familiar graphs you know. A parabola with two roots crosses the x-axis, but if it has a double root, it just touches it.

    y=x^3 cross the axis, but makes a little jog there so the slope is horizontal as it crosses.

    y=x^4 looks like a squarer parabola, again just touching the x-axis.

    Think of a double root. It's just the limit of what happens when there are two roots which get closer and closer together. Instead of crossing the axis and back, the graph just touches it before reversing direction.

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. math help!!!

    stuck!! pls help/explain!!! 2. Do the values in the table represent a linear function? If so, what is the function rule? (1 point) x = -2, 0, 2, 4 y = -4, 0, 4, 8 The values do not show a linear function. Yes, they show a linear

  2. calc

    let f be function given by f(x)= Ln(x)/x for all x> 0. the dervative of f is given by f'(x)= (1 - Ln(x))/x squared. a) write equation for the line tangent to the graph of f at x=e squared b) Find the x-coordinate of the critical

  3. math

    The graph of y = x cubed is transformed as shown in the graph below. Which equation represents the transformed function? On a coordinate plane, a cubic root function approaches y = negative 1 in quadrant 2, has an inflection point

  4. Geometry

    What is the volume of the triangular prism? Height: 12mm Base: 15mm Width:7mm 1) 34mm cubed 2) 187mm cubed 3) 630mm cubed 4) 1,260mm cubed

  1. math

    determine the value of k such that g(x)=3x+k intersects the quadratic function f(x)=2x^2-5x+3 at exactly one point determine the value(s) of k such that the linear function g(x)=4x+k does not intersect the parabola f(x)=-3x^2-x+4

  2. Math

    Select all possible values for x in the equation. x cubed=375. 5*the cubed root of 3 the cubed root of 375 75*the cubed root of 5 125*the cubed root of 3 I am trying to do a practice test to prepare for my real test tomorrow and I

  3. algebra

    Find the least common multiple of the monomials. 5a squared, and 16a cubed. Also 17b squared and 3b cubed. Could you show me how to do these. Thank you, Sandy

  4. calculus

    Use the series for f of x equals 1 over the quantity 1 plus x squared to write the series for g(x) = tan–1(x). A. C plus x minus x cubed over 3 plus x to the 5th power over 5 minus ... B. C plus x minus x squared over 2 plus x

  1. Math

    What is the simplified form of The quantity x to the fourth power minus 81 divided by the quantity x plus 3 ? A. x cubed minus 3 times x squared plus 9 times x minus 27 B. the quantity x squared plus 9 times the quantity x squared

  2. Math (geometry)

    A diagonal of one cube is 2 cm. A diagonal of another cube is 4*sqrt3 cm. The larger cube has volume 64 cubic cm. Find the volume of the smaller cube.

  3. math

    A rectangular prism has a volume of 4x(cubed) + 30 x(squared) +36x. What linear expressions can represent possible dimensions of the prism? Please explain.

  4. algebra

    1. Describe a situation that models a linear pattern and then describe a situation that models a nonlinear pattern. Do not state which situation is linear and which is nonlinear. Your classmates will need to determine which is

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