Exploring Domain and Range of Parent Functions

The video by Anil Kumar covers the domain and range of various parent functions, including linear, quadratic, cubic, absolute, reciprocal, square root, trigonometric, and exponential functions. Each function's domain and range are explained, highlighting any restrictions. The video emphasizes understanding these concepts to apply them to any parent function or combination of functions.

What is the domain of the linear function f(x) = x?

• All positive numbers

• All real numbers

• All negative numbers

• All integers

For the quadratic function f(x) = x², what is the range?

• All negative numbers

• All non-negative numbers

• All positive numbers

• All real numbers

What is the domain of the cubic function f(x) = x³?

• All positive numbers

• All integers

• All negative numbers

• All real numbers

What is the range of the absolute value function f(x) = |x|?

• All non-negative numbers

• All real numbers

• All positive numbers

• All negative numbers

For the reciprocal function f(x) = 1/x, what is the domain?

• All real numbers except 0

• All negative numbers

• All positive numbers

• All integers

What is the range of the reciprocal function f(x) = 1/x?

• All integers

• All positive numbers

• All negative numbers

• All real numbers except 0

What is the domain of the square root function f(x) = √x?

• All negative numbers

• All non-negative numbers

• All positive numbers

• All real numbers

For the sine function f(x) = sin(x), what is the range?

• All negative numbers

• All real numbers

• All positive numbers

• Between -1 and 1

What is the domain of the exponential function f(x) = 2^x?

• All real numbers

• All positive numbers

• All integers

• All negative numbers

What is the range of the exponential function f(x) = 2^x?

• Greater than 0

• All non-negative numbers

• All positive numbers

• All real numbers