Question

To graph the cube root function y=5x+2−−−−√3−4
, complete the table of data points for the function.(2 points)
This table presents values of x and corresponding unknown values of y, which need to be filled in.
x y
−1

−2

−3

Answer 1

Interpreting the function as y = ∛(5x + 2) − 4, compute 5x + 2, take the cube root, then subtract 4.

x = −1: 5(−1)+2 = −3 → y = ∛(−3) − 4 = −4 − ∛3 ≈ −5.442
x = −2: 5(−2)+2 = −8 → y = ∛(−8) − 4 = −2 − 4 = −6
x = −3: 5(−3)+2 = −13 → y = ∛(−13) − 4 = −4 − ∛13 ≈ −6.351

So the completed table:
- x = −1 → y = −4 − ∛3 ≈ −5.442
- x = −2 → y = −6
- x = −3 → y = −4 − ∛13 ≈ −6.351