Fermi
·
Concept Library
·
Courses
·
Books
·
Problems
·
Simulations
·
Math Wiki
·
High School
Fermi
›
Problems
Problem
Problem
If
∣
a
x
2
+
b
x
+
c
∣
≤
1
|ax^2 + bx + c| \le 1
∣
a
x
2
+
b
x
+
c
∣
≤
1
for all
x
x
x
in
[
0
,
1
]
[0, 1]
[
0
,
1
]
, then a.
∣
a
∣
≤
8
|a| \le 8
∣
a
∣
≤
8
b.
∣
b
∣
>
8
|b| > 8
∣
b
∣
>
8
c.
∣
c
∣
≤
1
|c| \le 1
∣
c
∣
≤
1
d.
∣
a
∣
+
∣
b
∣
+
∣
c
∣
≤
17
|a| + |b| + |c| \le 17
∣
a
∣
+
∣
b
∣
+
∣
c
∣
≤
17
Browse the problem library