Exhibit 1-13 Compare the slopes of the tangents at points a and b in Exhibit 1-13.Which of the following statements is true?
A)The slope at a is positive, and the slope at b is negative.
B)The slope at a is negative, and the slope at b is positive.
C)The slope is positive at both a and b.
D)The slope is negative at both a and b.
E)The slope at a is equal to the slope at b.

Question

Exhibit 1-13  Compare the slopes of the tangents at points a and b in Exhibit 1-13.Which of the following statements is true?
A)The slope at a is positive, and the slope at b is negative. 
B)The slope at a is negative, and the slope at b is positive. 
C)The slope is positive at both a and b. 
D)The slope is negative at both a and b. 
E)The slope at a is equal to the slope at b.

Quizplus · Accepted Answer

From Exhibit 1-13, we can observe that the tangent at point a is steeper than the tangent at point b. This suggests that the slope at a is greater than the slope at b. Since the tangent at point a is in the positive direction (pointing upwards), the slope at a must be positive. Similarly, since the tangent at point b is in the negative direction (pointing downwards), the slope at b must be negative. Therefore, the correct choice is A: The slope at a is positive, and the slope at b is negative.

Exhibit 1-13 Compare the Slopes of the Tangents at Points