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  2. Symbolab
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    Functions Calculator - Symbolab

    • Is a Function

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      Free functions vertex calculator - find function's vertex step-by-step

    • Domain

      domain\:f(x)=\frac{1}{x^2} domain\:y=\frac{x}{x^2-6x+8} …

    • Arithmetic & Composition

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    • Inverse

      The inverse of a function f is a function f^ (-1) such that, for all x in the domain of f, …

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  3. Mathway
    https://www.mathway.com/popular-problems/Algebra/1034192

    Graph f(x)=2 if x=1 - Mathway

  5. Desmos
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    Graphing Calculator - Desmos

  6. Mathway
    https://www.mathway.com/popular-problems/Algebra/715136

    Find the Range f(x)=2 if x<=-1; -2 if x>-1 - Mathway

  7. Mathematics Stack Exchange
    https://www.symbolab.com/.../1%E2%88%92x%202%20

    1−x 2 - Symbolab

  8. Math is Fun
    https://www.mathsisfun.com/sets/function-inverse.html

    Inverse Functions - Math is Fun

  9. People also ask
    What does f(x) = x2 mean?
    f (x) = x2 shows us that function " f " takes " x " and squares it. Example: with f (x) = x2: becomes an output of 16. In fact we can write f (4) = 16. The "x" is Just a Place-Holder! Don't get too concerned about "x", it is just there to show us where the input goes and what happens to it. It could be anything! So this function:

    What is a Function - Math is Fun

    mathsisfun.com
    What if f is 1-1?
    Graphically, you can use either of the following: f is 1-1 if and only if every horizontal line intersects the graph of f in at most one point.

    calculus - How to determine if a function is one-to-one? - Mathematics

    math.stackexchange.com
    How do you show if f is 1-1?
    There's are theorem or two involving it, but i don't remember the details. The best way is simply to use the definition of "one-to-one"... To show that f is 1-1, you could show that f(x) = f(y) ⟹ x = y. So, for example, for f(x) = x − 3 x + 2: Suppose x − 3 x + 2 = y − 3 y + 2.

    calculus - How to determine if a function is one-to-one? - Mathematics

    math.stackexchange.com
    What does 'exactly one' mean in a function?
    means that every element in X is related to some element in Y. We say that the function covers X (relates every element of it). (But some elements of Y might not be related to at all, which is fine.) 2. "...exactly one..." means that a function is single valued. It will not give back 2 or more results for the same input.

    What is a Function - Math is Fun

    mathsisfun.com
    Are f(x) and F-1(X) symmetric across the line y=x?
    The graph of f (x) and f-1(x) are symmetric across the line y=x First, we restrict the Domain to x ≥ 0: of each other about the diagonal y=x. Note: when we restrict the domain to x ≤ 0 (less than or equal to 0) the inverse is then f-1(x) = −√x: Which are inverses, too.

    Inverse Functions - Math is Fun

    mathsisfun.com
    Is f(x+a) the same as f (x)+f(A) vs different result?
    f (x+a) is not the same as f (x) + f (a) vs Different Result! Math explained in easy language, plus puzzles, games, quizzes, worksheets and a forum. For K-12 kids, teachers and parents.

    Evaluating Functions - Math is Fun

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  10. Mathematics Stack Exchange
    https://math.stackexchange.com/questions/101975

    calculus - How to determine if a function is one-to-one?

    functions - If $f (f (x))=x^2-x+1$, what is $f (0)$?Nov 1, 2016
    functions - if $\ f(f(x))= x^2 + 1$ , then $\ f(6)= $?
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  11. OpenStax
    https://openstax.org/books/intermediate-algebra-2e/...

    10.1 Finding Composite and Inverse Functions - OpenStax

  12. Faculty & Staff Webpages
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    1.7 - Inverse Functions - Richland Community College

  13. Socratic
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    How do you explain why f(x) = x^2 if x>=1 and 2x if x<1 is …

    What is the limit as x approaches 0 of 1/x^2? | SocraticJun 9, 2018
    Lim (X^3+8/x+2). ? X=-2 | SocraticJan 10, 2018
    How do you determine whether the function f(x)=1/x^2 has an ...Nov 28, 2017
    How do you prove that the limit of (x+2)/(x-3) = -1/4 as x ...Nov 24, 2016
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  14. Math is Fun
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    Evaluating Functions - Math is Fun

  15. Math is Fun
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    What is a Function? - Math is Fun

  16. Mathematics LibreTexts
    https://math.libretexts.org/Courses/Monroe...

    2.5: One-to-One and Inverse Functions - Mathematics LibreTexts

  17. Khan Academy
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    Khan Academy

  18. Symbolab
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    Functions Inverse Calculator - Symbolab

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    If $$f(x) = x^2 – 1$$ the value of $$f(2)$$ is - Toppr

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  24. Mathematics Stack Exchange
    https://math.stackexchange.com/questions/761027/if-fx-x2-3x1-then-fx-2

    algebra precalculus - If $ f (x)=x^2-3x+1$ then $ f (x-2 ...

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  26. Symbolab
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    Derivative Calculator - Symbolab

  27. Math is Fun
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    Composition of Functions - Math is Fun

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