What are the domain and range of our most basic parent functions

The video tutorial provides a comprehensive review of various mathematical functions covered in the course, including linear, quadratic, cubic, exponential, logarithmic, and square root functions. It discusses their properties, transformations, and the concepts of domain and range. The instructor emphasizes understanding transformations such as shifts and reflections, and how these apply to different functions. The session concludes with a focus on the importance of domain and range in understanding functions.

Which of the following is the correct form of a linear function?

• F(x) = |x|

• F(x) = log(x)

• F(x) = x

• F(x) = x^2

What is the form of an exponential function?

• F(x) = |x|

• F(x) = b^x

• F(x) = x^3

• F(x) = sqrt(x)

Which function is the inverse of the exponential function?

• Quadratic function

• Cubic function

• Absolute value function

• Logarithmic function

How does the parameter 'a' affect the transformation of a function?

• It reflects the graph over the x-axis and affects stretch or compression.

• It shifts the graph up or down.

• It shifts the graph left or right.

• It changes the base of the function.

How does the parameter 'H' affect the transformation of a function?

• It shifts the graph left or right.

• It shifts the graph up or down.

• It reflects the graph over the x-axis.

• It changes the base of the function.

What is the domain of a quadratic function?

• All real numbers

• Only positive numbers

• Only negative numbers

• Numbers greater than zero

What is the range of a cubic function?

• All real numbers

• Only positive numbers

• Only negative numbers

• Numbers greater than zero

What is the range of an absolute value function?

• Only negative numbers

• Only positive numbers

• All real numbers

• Numbers greater than or equal to zero

Which function has a restricted domain of non-negative numbers?

• Cubic function

• Square root function

• Quadratic function

• Linear function

Which of the following functions has a domain of all real numbers?

• Cubic function

• Logarithmic function

• Exponential function

• Square root function