Use the table to estimate the rate of change of y at the specified value of x.
-x = 2.
$\begin{array} { c | c }
\mathrm { x } & \mathrm { y } \
\hline 0 & 10 \
0.5 & 38 \
1.0 & 58 \
1.5 & 70 \
2.0 & 74 \
2.5 & 70 \
3.0 & 58 \
3.5 & 38 \
4.0 & 10
\end{array}$
A) 0
B) 8
C) -8
D) 4

Question

Use the table to estimate the rate of change of y at the specified value of x.
-x = 2.
$\begin{array} { c | c } 
\mathrm { x } & \mathrm { y } \
\hline 0 & 10 \
0.5 & 38 \
1.0 & 58 \
1.5 & 70 \
2.0 & 74 \
2.5 & 70 \
3.0 & 58 \
3.5 & 38 \
4.0 & 10
\end{array}$
A) 0
B) 8
C) -8
D) 4

Quizplus · Accepted Answer

The rate of change of $y$ at $x = 2$ can be estimated by looking at the values of $y$ just before and after $x = 2$. At $x = 1.5$, $y = 70$, and at $x = 2.5$, $y = 70$. This means the change in $y$ around $x = 2$ is 0, indicating a rate of change of 0.

Use the Table to Estimate the Rate of Change of Y