Question

A function can be represented by the equation g(z)=−z+0.99
. Complete the inequality to determine the range of this function.(1 point)
The range is represented by the inequality
<z<
.
Remaining Attempts : 3

Answer 1

To determine the range of the function \( g(z) = -z + 0.99 \), we can analyze how the function behaves.

1. The function is linear, and as \( z \) increases or decreases, \( g(z) \) changes accordingly.
2. The slope of the function is -1, which means that as \( z \) increases, \( g(z) \) decreases.

Since there are no restrictions provided for \( z \) (it can take any real number), we can find the corresponding values of \( g(z) \):

- If \( z \) approaches \( -\infty \), then \( g(z) \) approaches \( +\infty \).
- If \( z \) approaches \( +\infty \), then \( g(z) \) approaches \( -\infty \).

Thus, the output (range) of \( g(z) \) will cover all real numbers. Therefore, the best representation of the range in terms of an inequality looks like:

\[
-\infty < g(z) < \infty
\]

Therefore, the range is represented by the inequalities as follows:

\[
-\infty < g(z) < \infty
\]

Please replace the expressions with the equivalent symbols or numeric bounds if your system requires a specific format.