Which one or ones of the following statements is/are true?
I. If the line y=2 is a horizontal asymptote of y= f(x), then is not defined at y=2.

II. If f(5)>0 and f(6)<0, then there exists a number c between 5 and 6 such that f(c)=0.

III. If f is continuous at 2 and f(2)=8 and f(4)=3, then lim x→2 f(4x^2-14)=8.

a) All statements are true
b) I only
c) II only
d) III only

  1. 👍
  2. 👎
  3. 👁
  1. 1. It never really gets there
    2. what if it is discontinuous or not even defined between x = 5 and x = 6 ?
    3. f(16-14) = f(2) = 8 sure enough

    1. 👍
    2. 👎

Respond to this Question

First Name

Your Response

Similar Questions

  1. algebra

    Which statements are true of functions? Check all that apply. All functions have a dependent variable. All functions have an independent variable. The range of a function includes its domain. A vertical line is an example of a

  2. Science

    Which of the following statements about line graphs is true. A. The dependent variable is on the horizontal axis. B. Line graphs are always straight lines. C. Every data point should be shown on a line graph. D. There is a maximum

  3. Math

    a.)If ABCD is a parallelogram, then ABCD is (always true, sometimes true, OR never true) a rectangle. b.)The diagonals of a square (always true, sometimes true, OR never true) bisect each other. c.)If WXYZ is a rectangle, then the

  4. Calculus

    If f is a continuous function with even symmetry and lim x→∞ f(x)=10, which of the following statements must be true? I. lim x→∞ f(x)=10 II. there are no vertical asymptotes III. The lines y=10 and y= -10 are horizontal

  1. US history HELP

    Which of the following statements is true? a. Political parties are unimportant in the organization of the U.S. Congress. b. Party-line voting rarely occurs in Congress. c. Party-line voting has increased in recent years. d.

  2. Calculus (Urgent Help)

    Okay, I need major help! Can someone tell me if these statements are true or false ASAP please. Thank you. 1. If ƒ′(x) < 0 when x < c then ƒ(x) is decreasing when x < c. True 2. The function ƒ(x) = x^3 – 3x + 2 is

  3. physics

    8. Electric field lines arising from two small charged particles P and Q. Consider the following two statements: i.The charge on P is smaller than the charge on Q. ii.The electrostatic force on P is smaller than that on Q. Which

  4. Math

    1. The figure below is a parallelogram which statement must be true? D___________E | | |__________ | F G a.line Df is parallel to line de b. Line Df is parallel to line eg c. Line fg is parallel to line eg d. Line fg is parallel

  1. Math

    The line x=c is a veritcal asymptote of the graph of the function f Which of the following statements cannot be true? A. Lim as x approaches c from the left f(x)= infinity B. lim as x apporaches infinity f(x)=c C. f(c) is

  2. Geometry

    1) What are the converse, inverse, and contrapositive of the statement? Which statements are true? If the figure is a rectangle with sides 2 cm and 3 cm, then it has a perimeter of 10cm. My A: the statement is not true. 2) What

  3. Math

    If line A is a perpendicular bisector of MN, then which of the following statements is NOT true? 1)line A and MN intersect at a right angle 2)line A splits MN into two congruent segments 3)MN splits line A into two congruent

  4. Physics (please help)

    A planet is in circular orbit about a remote star, far from any other object in the universe. Which of the following statements is true? a. None of the other statements are true. b. There is only one force acting on the planet. c.

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