To find the value of the function \( y = 3x^2 - 21 \) when \( x = 4 \), you can substitute 4 for \( x \).
Here are the steps:
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Substitute \( 4 \) for \( x \): \[ y = 3(4)^2 - 21 \]
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Calculate \( (4)^2 \): \[ (4)^2 = 16 \]
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Now multiply \( 3 \) by \( 16 \): \[ 3 \times 16 = 48 \]
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Finally, subtract \( 21 \) from \( 48 \): \[ y = 48 - 21 = 27 \]
So, the value of the function when \( x = 4 \) is \( y = 27 \).