X        f(x) 2.0    2.8 2.5    1.1 3.0    –0.8 3.5    –1.2 4.0    –0.3 4.5    0.7 for the given table of values for a polynomial function, where must the zeros of the function lie? a.) between 2.0 and 2.5 and between 4.0 and 4.5 b.) between 2.5 and 3.0 and between 4.0 and 4.5 c.) between 2.0 and 2.5 and between 3.5 and 4.0 d.) between 2.5 and 3.0 and between 3.5 and 4.0

Correct option is:

B.) between 2.5 and 3.0 and between 4.0 and 4.5

Step-by-step explanation:

The roots of a polynomial function p(x) lies in an interval (a,b) if:

p(a)>0 and p(b)<0

         or

p(a)<0 and p(b)>0

Here,

f(2.5)>0 and f(3.0)<0

Hence, f(x) has a root between 2.5 and 3.0

Also, f(4.5)>0 and f(4.0)<0

Hence, f(x) has a root between 4.0 and 4.5

Hence, Correct option is:

B.) between 2.5 and 3.0 and between 4.0 and 4.5

ιт ωιℓℓ вєтнє fιяѕт ¢нσι¢є(α.)

convert the exponential equation to a logarithmic equation using the logarithm base (6) of the right side (36) equals the exponent (2).

ℓσg6(36)=2

нσρє ι ¢συℓ∂ нєℓρ уα

c and d is your answers.

stay frosty!