The volume of a rectangular prism is (x{3} – 3x{2} + 5x – 3), and the area of its base is (x{2} – 2). if the volume of a rectangular prism is the product of its base area and height, what is the height of the prism?

x³ - 3x² + 5x - 3 / x² - 2

Step-by-step explanation:

Given in the question,

volume of a rectangular prism = x³ - 3x² + 5x - 3

base area of a rectangular prism = x² - 2

Formula for the volume of prism

V = BA x H

here BA is base area

         H is height

Formula for the height of prism

H = V / BA

plug values in the formula

x³ - 3x² + 5x - 3 / x² - 2

We will do long division

           x - 1

x² - 2 | x³ - 3x² + 5x - 3

           x³ - 2x²

                 -x² + 5x - 3

                 -x²         + 2

                         5x - 5  

The remainder indicates that x³ - 3x² + 5x - 3 is not divisible by x² - 2, and that means that you cannot find the exact height.

yes because there is exactly one y value for every x value

for function there can't be more than one value for every x value