Let be continuous on with the following values: After evaluating at the midpoint of…

MATHEMATICS · Single correct · AP · Calculus AB · Limits and Continuity · Limits and Continuity

Problem

Let

g

be continuous on

[1,2]

with the following values:

g(1)\approx-0.281,\;g(1.5)\approx1.481,\;g(2)\approx4.389.

After evaluating

g

at the midpoint

1.5

of the original interval

[1,2]

, which closed subinterval is guaranteed to contain a zero of

g

? (a)

[1,1.5]

(b)

[1.5,2]

(c)

[1,2]

(d)

[1.25,1.5]