Use the table to estimate the rate of change of y at the specified value of x.
-x = 1.
$\begin{array} { c | c }
\mathrm { x } & \mathrm { y } \
\hline 0.900 & - 0.05263 \
0.990 & - 0.00503 \
0.999 & - 0.0005 \
1.000 & 0.0000 \
1.001 & 0.0005 \
1.010 & 0.00498 \
1.100 & 0.04762
\end{array}$
A) 0
B) 1
C) 0.5
D) -0.5

Question

Use the table to estimate the rate of change of y at the specified value of x.
-x = 1. 
$\begin{array} { c | c } 
\mathrm { x } & \mathrm { y } \
\hline 0.900 & - 0.05263 \
0.990 & - 0.00503 \
0.999 & - 0.0005 \
1.000 & 0.0000 \
1.001 & 0.0005 \
1.010 & 0.00498 \
1.100 & 0.04762
\end{array}$
A) 0
B) 1
C) 0.5
D) -0.5

Quizplus · Accepted Answer

The rate of change at x = 1 can be estimated using the points around it. Using (0.999, -0.0005) and (1.001, 0.0005), the rate of change is (0.0005 - (-0.0005)) / (1.001 - 0.999) = 0.5.

Use the Table to Estimate the Rate of Change of Y