Question

To graph the cube root function y=5x+2−−−−√3−4
, complete the table of data points for the function.(2 points)
x y
−1
−2
−3

Answer 1

could you make simple

Answer 2

To complete the table for the function \( y = \sqrt[3]{5x + 2} - 4 \), we will calculate \( y \) for each value of \( x \) provided in the table: \( -1 \), \( -2 \), and \( -3 \).

1. For \( x = -1 \):
\[
y = \sqrt[3]{5(-1) + 2} - 4 = \sqrt[3]{-5 + 2} - 4 = \sqrt[3]{-3} - 4 \approx -1.442 - 4 \approx -5.442
\]

2. For \( x = -2 \):
\[
y = \sqrt[3]{5(-2) + 2} - 4 = \sqrt[3]{-10 + 2} - 4 = \sqrt[3]{-8} - 4 = -2 - 4 = -6
\]

3. For \( x = -3 \):
\[
y = \sqrt[3]{5(-3) + 2} - 4 = \sqrt[3]{-15 + 2} - 4 = \sqrt[3]{-13} - 4 \approx -2.351 - 4 \approx -6.351
\]

Now, we can summarize the data points in the table:

\[
\begin{array}{|c|c|}
\hline
x & y \\
\hline
-1 & \approx -5.442 \\
-2 & -6 \\
-3 & \approx -6.351 \\
\hline
\end{array}
\]

So, the completed table of data points is:

| \( x \) | \( y \) |
|---------|----------------|
| -1 | \(-5.442\) |
| -2 | \(-6\) |
| -3 | \(-6.351\) |