The values in the table represent the graph of a continuous function. Which interval must contain an x-intercept? x y –3.1 –1.85 –2.7 –0.84 –2.3 –0.09 –1.9 0.44 –1.5 0.79 –1.1 1.00 –0.7 1.10 –0.3 1.13 0.1 1.13 –3.1 < x < –2.7 –2.3 < x < –1.9 –1.5 < x < –1.1 –0.3 < x < 0.1

Given:

The values in the table represent the graph of a continuous function.

To find:

The interval that must contain an x-intercept.

Solution:

From the given table it is clear that, initially y-values are negative but after negative values we get y=0.44 at x=-1.9.

This signs of y-value are different, it means the graph of continuous function must contain an x-intercept in the interval -2.3 < x < -1.9.

Therefore, the correct option is B.

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet