Відповіді АЛГЕБРА: 23.17

23.17

f(x) = x(x – 6); D(y): x ≥ 0;

Ox: y = 0; x = 0; x = 6;

x = 36;

Oy: x = 0; y = 0;

f’(x) = x – 6 + x • 12x = x – 6 + 12 x = 32 x – 6;

32 x – 6 = 0;

32 x = 6;

x = 4;

x = 16;

Xmin = 16;

ymin = 16(16– 6) = 16(4 – 6) = –32;

2) E(y): [–32; +∞);

3) x(x – 6) = a – 20;

a – 20 ≥ –32;

a ≥ –32 + 20;

a ≥ – 12;

a є [–12; +∞).