Question

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

Answer 1

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