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