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Complete the table for y = 2x3 − 3x2 − 12x + 5.

Mathematics

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Graph of y = 2x³ − 3x² − 12x + 5

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Key points of y = 2x³ − 3x² − 12x + 5
Pointxy
x-intercept−2.040
Maximum−112
y-intercept05
x-intercept0.390
Minimum2−15
x-intercept3.150

Step 1: Complete the table for y=2x3−3x2−12x+5y = 2x^3 - 3x^2 - 12x + 5.

*a) For x=−3x = -3:

y=2(−3)3−3(−3)2−12(−3)+5y = 2(-3)^3 - 3(-3)^2 - 12(-3) + 5 y=2(−27)−3(9)+36+5y = 2(-27) - 3(9) + 36 + 5 y=−54−27+36+5y = -54 - 27 + 36 + 5 y=−81+41y = -81 + 41 y=−40y = -40

For x=2x = 2:

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