Calculus

posted by .

Is x^2 - 2x
1 to 1?

I keep getting yes every way I try to work it. Book says no. In the end, I get (with x1=1 and x2=-1 <- I use these numbers because of the x^2) f(x1) = -1 and f(x2)=3. I can't seem to find if x1 = x2

(btw, I know that by the graph it is not, but I am trying to work it out the books way)

  • Calculus -

    I should add that my prof said in the notes that if the two answers to the two functions are the same, then it is not 1 to 1 BECAUSE they have the same answer. That's what has me confused.

  • Calculus - one-to-one -

    One-to-one is usually associated with an interval. If the interval is not mentioned, we will assume that it is (-∞∞).

    To find out if a function
    f(x) is one-to-one on the interval, we need to know if it is possible to find different values of x1 and x2 for which f(x1)=f(x2), where x1-x2≠0.

    If f(x1)=f(x2) then f(x) is not one-to-one on the given interval.

    For example,
    f(x)=x² on the interval (-∞,∞),
    we can find
    f(-1)=f(1), or f(-2)=f(2), therefore f(x)=x² is NOT one-to-one.

    The horizontal line test says that if you can draw a horizontal line and intersect the function at two or more points, the function is NOT one-to-one. On the other hand, if it is impossible to do so, the function is one-to-one.

    Try out your problem and post if you have other questions.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. help C program

    I keep getting an error that says "no new endline at the end of file" but i pressed enter and it still won't work. i am compiling with gcc are there anything else i should look at?
  2. Probability

    Find the probablity of getting a sum of at least 8 by tossing a six-sided die twice. I keep getting 5/36 but my book says 5/12.
  3. Math

    I can't figure out 6 - 2/3r = 1 1/2 The way we're learning how to solve it, is by using the LCD. the LCD I use is 6 The book says the answer is 6 3/4 But I keep getting the wrong answer.
  4. Math

    5 = 1/2 (x-6) I keep getting 8 as my answer, but the book says it's 16?
  5. 6th grade math

    Find the value fir each expression. Show your work. (13.28 - 7.8) divided by 4. I have the answer in the back of my book and when I try to work the problem out I keep getting the wrong answer. The answer is supposed to be 1.345 I can …
  6. algebra

    f(x)= 1/x-2 Plug in 1 for x. I keep getting -1 but the book says the answer is 3. Please help. Thanks
  7. Calculus

    Use implicit differentiation to find dy/dx. e^4x = sin(x+2y). This is a practice problem. It says the correct answer is 4e^x/(2sin(x+2y)) but I keep getting 4e^(4x)/(2cos(x+2y)). I thought the derivative of e^(4x) would be 4e^(4x), …
  8. Algebra 1

    Which statement about real numbers is true?
  9. physics

    Suzanne bikes 3 km to school every day. It takes her 20 minutes because she always has to stop at a traffic light. What is her average speed?
  10. 8th Grade Math-exponents

    Let me try writing it again... (X/2)^3*(X/2)^4 --------------------- (X/2^3)^2 I keep getting X/2^6, but the book says X/2^5. How do you get X/2^5?

More Similar Questions