Answer:

Step-by-step explanation:
The given function is
![y=\sqrt[3]{x+8}](https://tex.z-dn.net/?f=y%3D%5Csqrt%5B3%5D%7Bx%2B8%7D)
The range refers to the values of y for which x is defined.
We solve for x to obtain;


This is a polynomial function in y.
x is defined for all values of y.
Therefore the range is all real numbers.
or

The first choice is correct.
Carry out the mult.: f(x) = -[x^2 - 21x + 9x - 189]
Combine like terms: f(x) = -[x^2 - 12x - 189]
Eliminate the brackets [ ]: f(x) = -x^2 + 12x + 189
Identify coefficients a, b and c: a= -1, b=12, c=189
The equation of the axis of symmetry is x = -b/(2a), which here equals
x = -(12)/[2(-1)], or x = 6
This is also the x-coordinate of the vertex. Plug x=6 into the original equation to calculate the y-coordinate.
A critical value is the point on the scale of the
test statistic (z test in this case) outside which we reject the null
hypothesis, and is taken from the level of significance of the test. The critical
values can be obtained from the standard distribution tables for z and for this
case, it is equivalent to:
critical value zα/2 at 98% confidence level = 2.326
Answer: 2.326
<span> </span>