let f(x)=ax^2-c,if-4≤f(1)≤-1 and -1≤f(2)≤5,then f(3)的取值范围?A -7≤f(3)≤28B 0≤f(3)≤3C -1≤f(3)≤7D -1≤f(3)≤20我希望有解答过程thank you
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let f(x)=ax^2-c,if-4≤f(1)≤-1 and -1≤f(2)≤5,then f(3)的取值范围?A -7≤f(3)≤28B 0≤f(3)≤3C -1≤f(3)≤7D -1≤f(3)≤20我希望有解答过程thank you
let f(x)=ax^2-c,if-4≤f(1)≤-1 and -1≤f(2)≤5,then f(3)的取值范围?
A -7≤f(3)≤28
B 0≤f(3)≤3
C -1≤f(3)≤7
D -1≤f(3)≤20
我希望有解答过程
thank you
let f(x)=ax^2-c,if-4≤f(1)≤-1 and -1≤f(2)≤5,then f(3)的取值范围?A -7≤f(3)≤28B 0≤f(3)≤3C -1≤f(3)≤7D -1≤f(3)≤20我希望有解答过程thank you
f(1)=a-c,f(2)=4a-c,f(3)=9a-c
令9a-c=m(a-c)+n(4a-c)
解得m=-5/3,n=8/3
因为-4≤a-c≤-1,-1≤4a-c≤5
所以5/3≤m(a-c)≤20/3,-8/3≤n(4a-c)≤40/3
所以5/3-8/3≤9a-c≤20/3+40/3
即-1≤9a-c≤20
所以-1≤f(3)≤20
let f(x)=ax^2-c,if-4≤f(1)≤-1 and -1≤f(2)≤5,then f(3)的取值范围?A -7≤f(3)≤28B 0≤f(3)≤3C -1≤f(3)≤7D -1≤f(3)≤20我希望有解答过程thank you
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