The range of a cubic parent function, which is defined as ( f(x) = x^3 ), is all real numbers. This is because as ( x ) approaches positive or negative infinity, ( f(x) ) also approaches positive or negative infinity, respectively. Therefore, the function can take any value from negative to positive infinity. In interval notation, the range is expressed as ( (-\infty, \infty) ).
A parent function is a basic function that serves as a foundation for a family of functions. The quadratic function, represented by ( f(x) = x^2 ), is indeed a parent function that produces a parabola when graphed. However, there are other parent functions as well, such as linear functions and cubic functions, which produce different shapes. Therefore, while the parabola is one type of parent function, it is not the only one.
the range is all real numbers
apex what is the range of the absolute... answer is nonnegative real num...
The range of the linear parent function, which is represented by the equation ( f(x) = x ), is all real numbers. This is because as ( x ) takes on any real value, ( f(x) ) also takes on every real value, leading to a range of ( (-\infty, \infty) ).
The domain of the absolute value parent function, ( f(x) = |x| ), is all real numbers, expressed as ( (-\infty, \infty) ). The range is all non-negative real numbers, represented as ( [0, \infty) ), since the absolute value cannot be negative.
the range is all real numbers
apex what is the range of the absolute... answer is nonnegative real num...
cubic function cubic function
apex what is the range of the absolute... answer is nonnegative real num...
The domain is all real numbers, and the range is nonnegative real numbers (y ≥ 0).
The inverse of the cubic function is the cube root function.
The parent function of the exponential function is ax
A cubic function is a smooth function (differentiable everywhere). It has no vertices anywhere.
Reciprocal parent function
The domain of the absolute value parent function, ( f(x) = |x| ), is all real numbers, expressed as ( (-\infty, \infty) ). The range is all non-negative real numbers, represented as ( [0, \infty) ), since the absolute value cannot be negative.
A cubic graph!
A parent function refers to the simplest function as regards sets of quadratic functions