Estimate the slope of the curve at the indicated point.
-
A) 2
B) $- 2$
C) $- \frac { 1 } { 2 }$
D) $\frac { 1 } { 2 }$

Question

Estimate the slope of the curve at the indicated point.
-
A) 2 
B) $- 2$ 
C) $- \frac { 1 } { 2 }$ 
D) $\frac { 1 } { 2 }$

Quizplus · Accepted Answer

The slope of the curve at a given point is equal to the derivative of the function at that point. From the graph, we can see that the tangent line at the indicated point has a negative slope. This means that the function is decreasing at that point. The only choice that represents a negative slope is C, $- \frac { 1 } { 2 }$.

Estimate the Slope of the Curve at the Indicated Point −2- 2−2

Estimate the Slope of the Curve at the Indicated Point $- 2$