Function Operations with Rational Exponents and Radicals

What are the four basic function operations discussed in the video?

• Addition, Multiplication, Exponentiation, Logarithm

• Addition, Subtraction, Integration, Differentiation

• Addition, Subtraction, Multiplication, Division

• Subtraction, Multiplication, Division, Modulus

What is the domain of a function with an even index, such as a square root?

• All real numbers

• Negative infinity to 0

• Negative infinity to positive infinity

• 0 to infinity

If a function has an odd index, such as a cube root, what is its domain?

• 0 to 1

• Negative infinity to positive infinity

• 0 to infinity

• 1 to infinity

When adding two functions with cube roots, what is the domain of the resulting function?

• 1 to infinity

• 0 to 1

• Negative infinity to positive infinity

• 0 to infinity

What is the result of adding -2 cube root of x and 16 cube root of x?

• 12 cube root of x

• 18 cube root of x

• 20 cube root of x

• 14 cube root of x

What is the domain of the function resulting from multiplying a square root function and a cube root function?

• Negative infinity to 0

• 0 to infinity

• Negative infinity to positive infinity

• 1 to infinity

When multiplying 7x^(3/2) and -14x^(1/3), what is the resulting coefficient?

• 7

• -7

• 98

• -98

What is the common denominator when adding the exponents 3/2 and 1/3?

• 5

• 6

• 7

• 8

What is the domain restriction when dividing two functions?

• The numerator cannot be zero

• The denominator cannot be zero

• Both numerator and denominator cannot be zero

• There are no restrictions

What is the domain of the function resulting from dividing 7x^(9/6) by -14x^(2/6)?

• Negative infinity to positive infinity

• 0 to infinity

• Negative infinity to 0

• 1 to infinity