Explain how to write the domain interval notation for a rational function

The video tutorial explains how to determine the domain of a function by identifying constraints and exclusions. It covers solving inequalities, understanding the impact of values that make the denominator zero, and values that result in a negative radical. The tutorial includes a graphical representation of these concepts and demonstrates how to write the domain using interval notation, highlighting the importance of excluding certain values.

What are the two constraints mentioned for the domain of the function?

• X must be less than 3 and X cannot be 7

• X must be greater than or equal to 3 and X cannot be 7

• X must be greater than 7 and X cannot be 3

• X must be less than or equal to 7 and X cannot be 3

Why can't X be equal to 7 in the domain?

• It makes the radical positive

• It makes the numerator zero

• It makes the denominator zero

• It makes the function undefined

What happens if X is less than 3?

• The function becomes linear

• The denominator becomes zero

• The radical becomes negative

• The radical becomes positive

How is the domain represented graphically?

• As a solid line from 3 to infinity with a hole at 7

• As a solid line from 3 to 7 with a hole at 7

• As a dashed line from 3 to infinity

• As a continuous line from 3 to 7

What is the correct interval notation for the domain?

• [3, 7] ∪ (7, ∞)

• (3, 7) ∪ (7, ∞)

• (3, 7) ∪ [7, ∞)

• [3, 7) ∪ (7, ∞)