§ 2. КВАДРАТИЧНА ФУНКЦІЯ
230.° Çíàéä³òü îáëàñòü âèçíà÷åííÿ ôóíêö³¿: 1) f (x) 7x – 15;
5) f (x) =
2) f (x) =
8 ; x +5
6) f (x) =
3) f (x) =
x − 10 ; 6
7) f (x) =
4) f (x) = x − 9;
1
;
1−x 10 ; 2 x −4 6x + 11 ; 2 x − 2x
8) f (x) = x + 6 + 4 − x.
231.° Çíàéä³òü îáëàñòü âèçíà÷åííÿ ôóíêö³¿: 1) f (x) = 2) f (x) = 3) f (x) =
x+3 ; x−4 9 ; 2 x + 16 5x + 1 ; 2 x − 6x + 8
4) f (x) = x − 1 + x − 3; 5) f (x) = x − 5 + 5 − x; 6) f (x) = x 2 + 1.
232.° Ïîáóäóéòå ãðàô³ê ôóíêö³¿: 1) f (x) –2x + 3; 3) f (x) 3; 1 4
6 x
2) f (x) = − x;
4) f (x) = − .
233.° Ïîáóäóéòå ãðàô³ê ôóíêö³¿: 1 3
1) f (x) = 4 − x;
2) f (x)
8 . x
234.° Çíàéä³òü, íå âèêîíóþ÷è ïîáóäîâè, òî÷êè ïåðåòèíó ç îñÿìè êîîðäèíàò ãðàô³êà ôóíêö³¿: 1) f (x) = 2) f (x) =
1 x − 7; 6 20 + 4x ; 3x − 5
3) g (x) 9 – x2; 4) (x) x2 + 2x – 3.
235.° Çíàéä³òü, íå âèêîíóþ÷è ïîáóäîâè, òî÷êè ïåðåòèíó ç îñÿìè êîîðäèíàò ãðàô³êà ôóíêö³¿: 1) h (x) 9 – 10x;
3) s (x) =
2) p (x) 4x2 + x – 3;
2
x −2 . 2 x +2
⎧3x − 1, ÿêùî x m − 1, ⎪ 236. Äàíî ôóíêö³þ f (x) = ⎨x 2 − 5, ÿêùî − 1 < x < 4, ⎪11, ÿêùî x l 4. ⎩ Çíàéä³òü: 1) f (–3); 2) f (–1); 3) f (2); 4) f (6,4).
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