Learn to write the domain of a rational function with a radical

The video tutorial explains the restrictions on denominators and radicals, focusing on setting the denominator equal to zero using the zero product property. It discusses constraints on real numbers, particularly in relation to radicals, and analyzes the domain and graph of functions with these restrictions. The tutorial emphasizes understanding these concepts to solve equations effectively.

What is one of the main restrictions when dealing with algebraic expressions involving radicals?

• The expression can equal any real number.

• The denominator cannot be zero.

• The expression can have a negative number under a radical.

• The denominator can be any number.

Why can't the expression equal -1?

• Because it makes the numerator zero.

• Because it makes the denominator zero.

• Because it makes the expression undefined.

• Because it makes the expression positive.

What must be true for the expression 4 - X?

• It must be less than zero.

• It must be equal to zero.

• It must be greater than or equal to zero.

• It must be greater than zero.

What is the domain of the expression discussed in the video?

• Negative infinity to 1, and then 1 to 4, including -1.

• Negative infinity to 1, and then 1 to 4, excluding -1.

• Negative infinity to 4, excluding -1.

• Negative infinity to 4, including -1.

What does the graph of the expression indicate at -1?

• There is a peak.

• There is a hole or asymptote.

• There is a maximum point.

• There is a zero crossing.