use the graph of ( y = f(x) ), assuming ( f(x)>0 ) if ( x = b ) or ( d ) and ( f(x)<0 ) if ( x = f ), to…

use the graph of ( y = f(x) ), assuming ( f(x)>0 ) if ( x = b ) or ( d ) and ( f(x)<0 ) if ( x = f ), to answer parts (a) through (f).\n(a) identify intervals on which the graph of ( f ) is concave upward. choose the correct answer below.\no a. the graph is never concave upward.\no c. ( (d,e);(g,h) )\no e. ( (a,b);(e,g) )\no g. ( (a,b);(d,e);(g,h) )\n(b) identify intervals on which the graph of ( f ) is concave downward. choose the correct answer below.\no a. ( (b,c);(c,e);(g,h) )\no c. ( (a,b);(e,g) )\no b. ( (b,c);(c,e);(g,h) )\no d. ( (e,g) )\no f. ( (a,c);(c,d);(e,g) )\no h. ( (a,c);(c,e);(g,h) )\no d. ( (a,c);(c,e);(g,h) )\no b. ( (d,e);(g,h) )

use the graph of ( y = f(x) ), assuming ( f(x)>0 ) if ( x = b ) or ( d ) and ( f(x)<0 ) if ( x = f ), to answer parts (a) through (f).\n(a) identify intervals on which the graph of ( f ) is concave upward. choose the correct answer below.\no a. the graph is never concave upward.\no c. ( (d,e);(g,h) )\no e. ( (a,b);(e,g) )\no g. ( (a,b);(d,e);(g,h) )\n(b) identify intervals on which the graph of ( f ) is concave downward. choose the correct answer below.\no a. ( (b,c);(c,e);(g,h) )\no c. ( (a,b);(e,g) )\no b. ( (b,c);(c,e);(g,h) )\no d. ( (e,g) )\no f. ( (a,c);(c,d);(e,g) )\no h. ( (a,c);(c,e);(g,h) )\no d. ( (a,c);(c,e);(g,h) )\no b. ( (d,e);(g,h) )

Answer

Explanation:

Step1: Recall concavity rules

A function (y = f(x)) is concave upward when (f''(x)>0) and concave downward when (f''(x)<0).

Step2: Analyze the graph

Looking at the graph, the intervals where the graph is concave upward are ((b,c)), ((c,e)), ((g,h)).

Answer:

B. ((b,c);(c,e);(g,h))