Parent Functions and Their Equations

The video tutorial covers the attributes of eight different parent functions, including quadratic, absolute value, square root, cubic, cube root, rational, exponential, and logarithmic functions. Each function's domain, range, intercepts, and asymptotes are discussed in detail, providing a comprehensive understanding of these fundamental mathematical concepts.

What are the key attributes discussed for parent functions?

• Domain, range, intercepts, and asymptotes

• Only domain and range

• Only intercepts

• Only asymptotes

What is the equation of the quadratic parent function?

• f(x) = x^3

• f(x) = x^2

• f(x) = |x|

• f(x) = 1/x

What is the range of the quadratic parent function?

• 1 to infinity

• 0 to infinity

• Negative infinity to infinity

• 0 to 1

What shape does the graph of the absolute value parent function take?

• Line

• Circle

• V shape

• Parabola

What is the domain of the absolute value parent function?

• 0 to infinity

• Negative infinity to infinity

• 1 to infinity

• 0 to 1

Which parent function has a V-shaped graph?

• Rational

• Cubic

• Absolute Value

• Quadratic

What is the equation of the square root parent function?

• f(x) = x^3

• f(x) = |x|

• f(x) = x^2

• f(x) = √x

What is the domain of the square root parent function?

• Negative infinity to infinity

• 0 to infinity

• 0 to 1

• 1 to infinity

What is the equation of the cubic parent function?

• f(x) = x^2

• f(x) = 1/x

• f(x) = x^3

• f(x) = |x|

What is the range of the cubic parent function?

• Negative infinity to infinity

• 0 to infinity

• 0 to 1

• 1 to infinity