Figure 1-4
-Refer to Figure 1-4.Which of the following statements is true?
A)The slope of the tangent at E is positive and the slope of the tangent at F is negative.
B)The slope of the tangent at E is negative and the slope of the tangent at F is positive.
C)The slope of the tangent at E and the slope of the tangent at F are negative.
D)The slope of the tangent at E and the slope of the tangent at F are positive.

Question

Figure 1-4 
-Refer to Figure 1-4.Which of the following statements is true?
A)The slope of the tangent at E is positive and the slope of the tangent at F is negative. 
B)The slope of the tangent at E is negative and the slope of the tangent at F is positive. 
C)The slope of the tangent at E and the slope of the tangent at F are negative. 
D)The slope of the tangent at E and the slope of the tangent at F are positive.

Quizplus · Accepted Answer

At point E, the curve is increasing and concave down, which means the slope is positive but decreasing. Therefore, the slope of the tangent at E is positive.

At point F, the curve is decreasing and concave up, which means the slope is negative but increasing. Therefore, the slope of the tangent at F is negative.

Therefore, the correct statement is that the slope of the tangent at E is positive and the slope of the tangent at F is negative.

Figure 1-4 -Refer to Figure 1-4.Which of the Following Statements Is True