By using a graphing utility to complete the following table.Round your answer to two decimal places. $$\begin{array} { | l | l | l | l | l | l | l | l | }
\hline x & 0.2 & 0.4 & 0.6 & 0.8 & 1 & 1.2 & 1.4 \
\hline y _ { 1 } & - & - & - & - & - & - & - \
\hline y _ { 2 } & - & - & - & - & - & - & - \
\hline
\end{array}$$ $y _ { 1 } = \sec ^ { 4 } x - \sec ^ { 2 } x , y _ { 2 } = \tan ^ { 2 } x \sec ^ { 2 } x$

A)$$\begin{array} { | l | l | l | l | l | l | l | l | }
\hline x & 0.2 & 0.4 & 0.6 & 0.8 & 1 & 1.2 & 1.4 \
\hline y _ { 1 } & - 0.04 & 0.21 & 0.69 & 2.18 & 8.31 & 50.39 & 1,163.61 \
\hline y _ { 2 } & - 0.04 & 0.21 & 0.69 & 2.18 & 8.31 & 50.39 & 1,163.61 \
\hline
\end{array}$$
B)$$\begin{array} { | l | l | l | l | l | l | l | l | }
\hline x & 0.2 & 0.4 & 0.6 & 0.8 & 1 & 1.2 & 1.4 \
\hline y _ { 1 } & 0.04 & 0.21 & 0.69 & 2.18 & 8.31 & 50.39 & 1,163.61 \
\hline y _ { 2 } & 0.04 & 0.21 & 0.69 & 2.18 & 8.31 & 50.39 & 1,163.61 \
\hline
\end{array}$$
C)$$\begin{array} { | l | l | l | l | l | l | l | l | }
\hline x & 0.2 & 0.4 & 0.6 & 0.8 & 1 & 1.2 & 1.4 \
\hline y _ { 1 } & 0.04 & 0.21 & 0.69 & - 2.18 & 8.31 & 50.39 & 1,163.61 \
\hline y _ { 2 } & 0.04 & 0.21 & 0.69 & - 2.18 & 8.31 & 50.39 & 1,163.61 \
\hline
\end{array}$$
D)$$\begin{array} { | l | l | l | l | l | l | l | l | }
\hline x & 0.2 & 0.4 & 0.6 & 0.8 & 1 & 1.2 & 1.4 \
\hline y _ { 1 } & 0.04 & 0.21 & - 0.69 & 2.18 & 8.31 & 50.39 & 1,163.61 \
\hline y _ { 2 } & 0.04 & 0.21 & - 0.69 & 2.18 & 8.31 & 50.39 & 1,163.61 \
\hline
\end{array}$$
E)$$\begin{array} { | l | l | l | l | l | l | l | l | }
\hline x & 0.2 & 0.4 & 0.6 & 0.8 & 1 & 1.2 & 1.4 \
\hline y _ { 1 } & 0.04 & 0.21 & 0.69 & 2.18 & 8.31 & 50.39 & - 1,163.61 \
\hline y _ { 2 } & 0.04 & 0.21 & 0.69 & 2.18 & 8.31 & 50.39 & - 1,163.61 \
\hline
\end{array}$$

Question

By using a graphing utility to complete the following table.Round your answer to two decimal places. $$\begin{array} { | l | l | l | l | l | l | l | l | } 
\hline x & 0.2 & 0.4 & 0.6 & 0.8 & 1 & 1.2 & 1.4 \
\hline y _ { 1 } & - & - & - & - & - & - & - \
\hline y _ { 2 } & - & - & - & - & - & - & - \
\hline
\end{array}$$ $y _ { 1 } = \sec ^ { 4 } x - \sec ^ { 2 } x , y _ { 2 } = \tan ^ { 2 } x \sec ^ { 2 } x$

A)$$\begin{array} { | l | l | l | l | l | l | l | l | } 
\hline x & 0.2 & 0.4 & 0.6 & 0.8 & 1 & 1.2 & 1.4 \
\hline y _ { 1 } & - 0.04 & 0.21 & 0.69 & 2.18 & 8.31 & 50.39 & 1,163.61 \
\hline y _ { 2 } & - 0.04 & 0.21 & 0.69 & 2.18 & 8.31 & 50.39 & 1,163.61 \
\hline
\end{array}$$
B)$$\begin{array} { | l | l | l | l | l | l | l | l | } 
\hline x & 0.2 & 0.4 & 0.6 & 0.8 & 1 & 1.2 & 1.4 \
\hline y _ { 1 } & 0.04 & 0.21 & 0.69 & 2.18 & 8.31 & 50.39 & 1,163.61 \
\hline y _ { 2 } & 0.04 & 0.21 & 0.69 & 2.18 & 8.31 & 50.39 & 1,163.61 \
\hline
\end{array}$$
C)$$\begin{array} { | l | l | l | l | l | l | l | l | } 
\hline x & 0.2 & 0.4 & 0.6 & 0.8 & 1 & 1.2 & 1.4 \
\hline y _ { 1 } & 0.04 & 0.21 & 0.69 & - 2.18 & 8.31 & 50.39 & 1,163.61 \
\hline y _ { 2 } & 0.04 & 0.21 & 0.69 & - 2.18 & 8.31 & 50.39 & 1,163.61 \
\hline
\end{array}$$
D)$$\begin{array} { | l | l | l | l | l | l | l | l | } 
\hline x & 0.2 & 0.4 & 0.6 & 0.8 & 1 & 1.2 & 1.4 \
\hline y _ { 1 } & 0.04 & 0.21 & - 0.69 & 2.18 & 8.31 & 50.39 & 1,163.61 \
\hline y _ { 2 } & 0.04 & 0.21 & - 0.69 & 2.18 & 8.31 & 50.39 & 1,163.61 \
\hline
\end{array}$$
E)$$\begin{array} { | l | l | l | l | l | l | l | l | } 
\hline x & 0.2 & 0.4 & 0.6 & 0.8 & 1 & 1.2 & 1.4 \
\hline y _ { 1 } & 0.04 & 0.21 & 0.69 & 2.18 & 8.31 & 50.39 & - 1,163.61 \
\hline y _ { 2 } & 0.04 & 0.21 & 0.69 & 2.18 & 8.31 & 50.39 & - 1,163.61 \
\hline
\end{array}$$

Quizplus · Accepted Answer

The correct values for $y_1$ and $y_2$ increase as $x$ increases, and there are no negative values for the given range of $x$. Both $y_1 = \sec^4 x - \sec^2 x$ and $y_2 = \tan^2 x \sec^2 x$ are positive for all $x$ in the given range, and their values match in option B.

By Using a Graphing Utility to Complete the Following Table