A wooden door contains a rectangular window. The width of the window is (x - 2) feet. The area of the window can be represented
by x ^ 2 - 3x + 2 .
a. Write a binomial that represents the height of the window.
b. The height of the door is 5 feet more than the height of the window. Write a polynomial that represents the height of the door.
c. The area of the door can be represented by x ^ 2 + 4x . The area is 32 square feet . Find the width and the height of the window.
a. Write a binomial that represents the height of the window.
b. The height of the door is 5 feet more than the height of the window. Write a polynomial that represents the height of the door.
c. The area of the door can be represented by x ^ 2 + 4x . The area is 32 square feet . Find the width and the height of the window.
1 answer:
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Answer: Choice C.
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Explanation:
The domain is the set of all allowed x inputs.
Here we see that x = -3 is the smallest x value possible as it is from the left-most point. The graph goes on forever to the right, so there is no largest x value. Effectively infinity is the largest x value even though infinity is not a number.
We can say the domain is which can be simplified to
or
In short: x can be -3 or larger.