Solve the problem.
-The graphs below show the first and second derivatives of a function $y = f ( x )$. Select a possible graph $f$ that passe through the point $P$.

A) [NOTE: Graph vertical scales may vary from graph to graph.]
B) [NOTE: Graph vertical scales may yary from graph to graph.]
C) [NOTE: Graph vertical scales may vary from graph to graph.]
D) [NOTE: Graph vertical scales may vary from graph to graph.]

Question

Solve the problem.
-The graphs below show the first and second derivatives of a function $y = f ( x )$. Select a possible graph $f$ that passe through the point $P$.

A) [NOTE: Graph vertical scales may vary from graph to graph.] 
B) [NOTE: Graph vertical scales may yary from graph to graph.] 
C) [NOTE: Graph vertical scales may vary from graph to graph.] 
D) [NOTE: Graph vertical scales may vary from graph to graph.]

Quizplus · Accepted Answer

The function graph in D passes through the point P and its first derivative has zeros at x = -2 and x = 2, while its second derivative changes sign at x = -2 and x = 2. This matches the given information about the first and second derivative graphs. The other options do not have matching properties with the given derivative graphs.

Solve the Problem y=f(x)y = f ( x )y=f(x) Select a Possible Graph

Solve the Problem $y = f ( x )$ Select a Possible Graph