Use the graph of and the given c-value to find .
A) -6
B) -7
C) 3
D) -5
E) does not exist

Question

Use the graph of  and the given c-value to find  . ​  ​  ​
A) -6 
B) -7 
C) 3 
D) -5 
E) does not exist

Quizplus · Accepted Answer

From the given graph, we can see that the function intersects the x-axis at approximately x = -3 and x = 1. Since the given c-value is 4, this means that the function has two real roots that are both greater than c. Therefore, the only possible real root that satisfies this condition is x = 3, since all the other roots are to the left of c. To verify this, we can check the signs of the function values at x = 2 and x = 4:
f(2) > 0 and f(4) < 0
This means that there is a root between x = 2 and x = 4. Since there is only one real root that satisfies the given condition, this must be the root we are looking for, and its approximate value is x = 3. Therefore, 11ea984b_ac48_261c_9029_fd7d09c40768_TB4005_11 is 3.

Use the Graph of and the Given C-Value to Find