CURVE SKETCHING (GRAPHS) 0 117
15.60 Which of the functions f(x) - I, f(x - 1), /(-*), or f'(x) is graphed in Fig. 15-51?
I This is the graph of /(*)-!. It is obtained by lowering the graph of f(x) one unit.
15.61
Fig. 15-51
Fig. 15-52
Which of the functions /(*) - 1, f(x - 1), /(-*), or /'(*) is graphed in Fig. 15-52?
I This is the graph of /'(*). At *=-!, /'(*) = °- To the left of x--l, f'(x) is negative and
decreases to—«> as *—»—<». Where the graph of/has an inflection point at x = 0, f'(x) reaches a relative
(actually, absolute) maximum. For jc>0, f'(x) is positive and decreasing toward 0. Thus, the positive
x-axis is a horizontal asymptote of the graph of /'(*)•
15.60 Which of the functions f(x) - I, f(x - 1), /(-*), or f'(x) is graphed in Fig. 15-51?
I This is the graph of /(*)-!. It is obtained by lowering the graph of f(x) one unit.
15.61
Fig. 15-51
Fig. 15-52
Which of the functions /(*) - 1, f(x - 1), /(-*), or /'(*) is graphed in Fig. 15-52?
I This is the graph of /'(*). At *=-!, /'(*) = °- To the left of x--l, f'(x) is negative and
decreases to—«> as *—»—<». Where the graph of/has an inflection point at x = 0, f'(x) reaches a relative
(actually, absolute) maximum. For jc>0, f'(x) is positive and decreasing toward 0. Thus, the positive
x-axis is a horizontal asymptote of the graph of /'(*)•