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?

Mathematics

1 answer:

Alekssandra [29.7K]2 years ago

3 0

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

You might be interested in

X-3<br>----- = -1 how do I solve this? <br>22

ValentinkaMS [17]

So first you multiply 22 to both sides, which cancels 22 from the left side.

This will leave you with x - 3 = -22

Then you add three to both sides, which cancels -3 from the left side.

This will leave you with x = -22 + 3, also simplified to x = -19

Hope this helps.

-Ruru

5 0

3 years ago

Find the values of c and d that would make the following equation true

Hitman42 [59]

Answer:

c = 2, d = 3

Step-by-step explanation:

multiply factors on left side gives

9 c $y^{3+d}$ = 18 $y^{6}$ ( divide both sides by 9 )