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given the function $f(x)=x^2 - 4$ complete the table.\ | $x$ | $f(x)$ |…

Question

given the function $f(x)=x^2 - 4$ complete the table.\

$x$$f(x)$\
------\
-4\
-2\
0\
3

Explanation:

Step1: Calculate f(-4)

Substitute \( x = -4 \) into \( f(x) = x^2 - 4 \).
\( f(-4) = (-4)^2 - 4 = 16 - 4 = 12 \)

Step2: Calculate f(-2)

Substitute \( x = -2 \) into \( f(x) = x^2 - 4 \).
\( f(-2) = (-2)^2 - 4 = 4 - 4 = 0 \)

Step3: Calculate f(0)

Substitute \( x = 0 \) into \( f(x) = x^2 - 4 \).
\( f(0) = 0^2 - 4 = 0 - 4 = -4 \)

Step4: Calculate f(3)

Substitute \( x = 3 \) into \( f(x) = x^2 - 4 \).
\( f(3) = 3^2 - 4 = 9 - 4 = 5 \)

Answer:

\( x \)\( f(x) \)
-20
0-4
35