Question

The function y = -x - 3 is graphed only over the domain of {x | -8 < x < 8). What is the range of the graph?

Option A: xy-5y<5
Option B: xy1-5
Option C: xy | 1
Option D: {y 15y<-1}

Answer 1

The range of the graph is {-11 < y < 5}.

Step-by-step explanation:

The function y = -x - 3 is a linear function represented by a straight line with a negative slope. The given domain of {-8 < x < 8} represents the values of x for which the function is defined. To find the range of the graph, we can substitute the values from the domain into the function to obtain corresponding y-values.

When we substitute the maximum and minimum values of the domain into the function, we get:

• For x = -8: y = -(-8) - 3 = 5
• For x = 8: y = -(8) - 3 = -11

Therefore, the range of the graph is {-11 < y < 5}.