A continuous function on has the following properties observable from its graph: •
MATHEMATICS · Single correct · AP · Calculus AB · Analytical Applications of Differentiation · Analytical Applications of Differentiation
Problem
A continuous function h on [−5,4] has the following properties observable from its graph:
• h(−5)=1.
• h rises by about 3 units between x=−5 and x=−2, where the tangent is horizontal.
• From x=−2 to x=1, h falls by about 8 units.
• From x=1 to x=4, h rises by about 2 units.
At which x-value does h attain its absolute minimum on [−5,4]?
(a) x=−2
(b) x=4
(c) x=1
(d) x=−5