Whether the intermediate value theorem guarantees or not that the function Y 1 = 21 x 4 + 46 x 3 − 238 x 2 − 506 x + 77 has a zero in the interval [ − 4 , − 3 ] . The table is as follows: x Y 1 − 4 725 − 3 − 88 − 2 105 − 1 320 0 77 1 − 600 2 − 1183 3 − 640 4 2565 5 10472 6 25625
Whether the intermediate value theorem guarantees or not that the function Y 1 = 21 x 4 + 46 x 3 − 238 x 2 − 506 x + 77 has a zero in the interval [ − 4 , − 3 ] . The table is as follows: x Y 1 − 4 725 − 3 − 88 − 2 105 − 1 320 0 77 1 − 600 2 − 1183 3 − 640 4 2565 5 10472 6 25625
Solution Summary: The author evaluates whether the intermediate value theorem guarantees or not that the function Y_1=21x4+46
Whether the intermediate value theorem guarantees or not that the function Y1=21x4+46x3−238x2−506x+77 has a zero in the interval [−4,−3]. The table is as follows:
x
Y1
−4
725
−3
−88
−2
105
−1
320
0
77
1
−600
2
−1183
3
−640
4
2565
5
10472
6
25625
(b)
To determine
Whether the intermediate value theorem guarantees or not that the function Y1=21x4+46x3−238x2−506x+77 has a zero in the interval [−3,−2]. The table is as follows:
x
Y1
−4
725
−3
−88
−2
105
−1
320
0
77
1
−600
2
−1183
3
−640
4
2565
5
10472
6
25625
(c)
To determine
Whether the intermediate value theorem guarantees or not that the function Y1=21x4+46x3−238x2−506x+77 has a zero in the interval [−2,−1]. The table is as follows:
x
Y1
−4
725
−3
−88
−2
105
−1
320
0
77
1
−600
2
−1183
3
−640
4
2565
5
10472
6
25625
(d)
To determine
Whether the intermediate value theorem guarantees or not that the function Y1=21x4+46x3−238x2−506x+77 has a zero in the interval [−1,0]. The table is as follows:
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