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Function Notation

Directions: Using the digits 1 to 9, at most one time each, fill in the boxes so that the two functions are equivalent

Hint

Hint

How do you use function notation to determine the input and output of a function?

Answer

Answer

One possible answer is:
f(x) = 9x + 4
g(x) = 7x^2 – 1x + 5
f(3) = g(2)

Post any others in the comments.

Source: Steven Midzak

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8 comments

  1. I think the format is confusing, and the answer uses incorrect notation and the two functions are, in fact, never “equivalent”. Rephrase like this?

    Fill in spaces with whole numbers 1 – 9 only one time, so that the final equality is correct.
    f(x) = ___ x + _____
    g(x) = ___ x^2 – ____x + _____
    f(____) = g(_____)

  2. f(3) = 2x + 4
    g(1) = 7x^2 – 6x + 9

  3. F(3)=9x+4 g(2)=7x^2-1x+5

  4. Katy Howell Escobar

    𝑓(3)=7𝑥+6 𝑔(2)=5𝑥^2−1𝑥+9

    𝑓(8)=6𝑥+4 𝑔(5)=2𝑥^2−1𝑥+7

  5. I gave this to my IM3 classes today, here are some they came up with that are NOT listed above:

    f(3) = 6x + 1 g(4) = 2x^2 – 5x + 7
    f(8) = 2x + 3 g(6) = 1x^2 – 4x + 7
    f(1) = 3x + 6 g(2) = 4x^2 – 8x + 9
    f(2) = 3x + 4 g(1) = 7x^2 – 5x + 8
    f(2) = 3x + 7 g(5) = 1x^2 – 4x + 8

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