Functions and Their Properties

The video tutorial introduces various parent functions, including linear, quadratic, exponential, logarithmic, square root, absolute value, and reciprocal functions. It explains their domains, ranges, and graphical representations. The concept of inverses is also discussed, highlighting how functions can be flipped across the y=x line. The tutorial emphasizes the importance of understanding these foundational functions in mathematics.

What is the domain of the linear parent function y = x?

• All negative real numbers

• All positive real numbers

• All real numbers

• All non-negative real numbers

Which of the following is the parent function for a quadratic graph?

• y = x^2

• y = log(x)

• y = x

• y = 2^x

What shape does the graph of a quadratic function form?

• Line

• Circle

• Parabola

• Hyperbola

What is the range of the quadratic parent function y = x^2?

• All real numbers

• All positive real numbers

• All negative real numbers

• All non-negative real numbers

In the exponential function y = 2^x, what is the range?

• All positive real numbers

• All real numbers

• All non-negative real numbers

• All negative real numbers

What is the domain of the exponential function y = 2^x?

• All non-negative real numbers

• All negative real numbers

• All positive real numbers

• All real numbers

What is the parent function for a logarithmic graph?

• y = log(x)

• y = 2^x

• y = x^2

• y = x

What is the domain of the logarithmic function y = log(x)?

• All non-negative real numbers

• All positive real numbers

• All negative real numbers

• All real numbers

What is the range of the logarithmic function y = log(x)?

• All non-negative real numbers

• All positive real numbers

• All negative real numbers

• All real numbers

What is the parent function for the square root graph?

• y = x

• y = x^2

• y = log(x)

• y = sqrt(x)