Question

Let A = {–2, –1, 0, 2} and f : A → Z: f(x) = x2 – 2x – 3. Find f(A).

Answer 1

Question:

Let A = {–2, –1, 0, 2} and f : A → Z: f(x) = x2 – 2x – 3. Find f(A).

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Step By Step Solution For The Answer:

A = {–2, –1, 0, 2}

f : A → Z: f(x) = x^2 – 2x – 3

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Finding f(x) for each value of x,

f(-2) = (-2)^2 – 2(-2) – 3

= 4 + 4 -3

= 5

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f(-1) = (-1)^2 – 2(-1) – 3

= 1 + 2 -3

= 0.

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f(0) = (0)^2 – 2(0) – 3

= 0 + 0 -3

= -3

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f(2) = (2)^2 – 2(2) – 3

= 4 - 4 -3

= -3

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f in ordered pair is represented as

f = {(-2,5),(-1,0),(0,-3),(2,-3)}

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