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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) ).
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What is the parent function for y -14x 3?
The parent function for the equation ( y - 14x^3 ) is the cubic function ( y = x^3 ). In this case, the given equation represents a transformation of the parent function, where the term ( -14x^3 ) indicates a vertical stretch by a factor of 14 and a reflection across the x-axis. The transformation does not change the fundamental nature of the cubic function itself.
Is a parent function a parabola?
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.
Which is not a characteristic of the absolute value parent function?
the range is all real numbers
What is the parent function of absolute value?
apex what is the range of the absolute... answer is nonnegative real num...
What is the range of the linear parent function?
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) ).
What is the parent function for y -14x 3?
The parent function for the equation ( y - 14x^3 ) is the cubic function ( y = x^3 ). In this case, the given equation represents a transformation of the parent function, where the term ( -14x^3 ) indicates a vertical stretch by a factor of 14 and a reflection across the x-axis. The transformation does not change the fundamental nature of the cubic function itself.
Is a parent function a parabola?
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.
Which is not a characteristic of the absolute value parent function?
the range is all real numbers
What is the parent function of absolute value?
apex what is the range of the absolute... answer is nonnegative real num...
How to calculate cubic function using point of inflection and extrema?
cubic function cubic function
What is the range of absolute value parent function?
apex what is the range of the absolute... answer is nonnegative real num...
What is the range of the linear parent function?
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) ).
What are the domain and range of the quadratic parent function?
The domain is all real numbers, and the range is nonnegative real numbers (y ≥ 0).
What is the inverse of a cubic function?
The inverse of the cubic function is the cube root function.
What is the parent function for the exponential function?
The parent function of the exponential function is ax
What is the domain and range of the absolute value parent function?
The domain of the absolute value parent function, ( f(x) = |x| ), is all real numbers, expressed as ( (-\infty, \infty) ). The range of the function is all non-negative real numbers, starting from zero, which can be expressed as ( [0, \infty) ). This means the function can take any real input and outputs values that are zero or greater.
How do you find the vertices of a cubic function?
A cubic function is a smooth function (differentiable everywhere). It has no vertices anywhere.
