Answer: Y < = 144
Step-by-step explanation:
Given that the function y = 3 squared - x - 3 is graphed only over the domain of {x | –8 < x < 8}
That is, y = 3x^2 - 3
Since x is greater than -8, the minimum value of x will be -7.
Also, x is less than 8, the maximum value of x will be 7
Substitute the two values into the given function.
When x = -7
Y = 3(-7)^2 - 3
Y = 3(49) - 3
Y = 147 - 3
Y = 144
When x = 7
Y = 3(7)^2 - 3
Y = 3(49) - 3
Y = 147 - 3
Y = 144
The range of the graph is therefore, Y less than or equal to 144. That is,
Y < = 144
