Given the function f(x)= x^4-3x^3-2x^2+5x+1, use the intermediate value theorem to decide which of the following intervals contains at least one zero. select all that apply.
a) [-2,-1]
b) [-1,0]
c) [0,1]
d) [1,2]
e) [2,3]
f) [3,4]

Step-by-step explanation:

There are changes in the sign of the function value in the intervals listed above. Consequently, there must be a zero in the interval.

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It is a 4th degree function and we have found locations for 4 zeros. There are no more, and none of these intervals has two zeros.

1. is 4 and 2. is 3

step-by-step explanation:

so if you look at the first one you see that 1 is to 4 and 2 is to 8 and so on, so you can see for every 1 there is a times 4 so if it were 3 then it would be 3*4 and it is 12

for number 2 it is 3 because 1 is to 3 and 2 is to 6 so for every 1 there is 3 so if it were 3 then there would be 3*3 = 9

1. minimum

2. 6400

3. eight

hope this !