Use the intermediate value theorem to choose the intervals over which the function, x^4 - 2x^2 - 1, is guaranteed to have a zero. select all that apply. a. [-2,-1] b. [-1,0] c. [0,1] d. [1,2]

Options a. and d. are correct

Step-by-step explanation:

Intermediate Value Theorem:

Let f be a continuous function on such that for a number p, then there exists q in such that f(p) = q

Let f(x) =

For a. [-2,-1] :

f(-2)=7>0 and f(-1) = -2 < 0 such that f(-1) < 0 < f(-2) then as per the theorem, there exists a number c in (-2,-1) such that f(c) = 0

For d. [1,2]:

f(1)= - 2<0 and f(2) = 7 > 0 such that f(1) < 0 < f(2) then as per the theorem, there exists a number c in (1,2) such that f(c) = 0

So, options a. and d. are correct

x² + 3x + 7 = 0       [ax² + bx + c]

a = 1

b = 3

c = 7

quadratic formula:

    (+/- is this ±)

plug in the numbers into the variables

your answer is a

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