a function whose range is in the real number
If a quadratic function is 0 for any value of the variable, then that value is a solution.
the range is all real numbers
The displacement, from the vertical, of a child on a swing, or a pendulum.
apex what is the range of the absolute... answer is nonnegative real num...
A real function is a mathematical relation that assigns a unique real number output to each real number input. It can be expressed as ( f(x) ), where ( f ) denotes the function, ( x ) represents the input variable (a real number), and ( f(x) ) is the output (also a real number). For example, in the function ( f(x) = 2x + 3 ), ( x ) is the independent variable, and ( f(x) ) is the dependent variable, indicating how the output value changes based on the input value.
a function whose range is in the real number
If a quadratic function is 0 for any value of the variable, then that value is a solution.
the range is a positive real number
the range is all real numbers
The domain can be anything you like, from the whole of the real numbers to just a single value.
You cannot. The function f(x) = x2 + 1 has no real zeros. But it does have a minimum.
apex what is the range of the absolute... answer is nonnegative real num...
The displacement, from the vertical, of a child on a swing, or a pendulum.
A real life example for the absolute value function is a football field. Even though the center of the field is labeled zero, you wouldn't say you ran negative feet if you went backwards..
A real function is a mathematical relation that assigns a unique real number output to each real number input. It can be expressed as ( f(x) ), where ( f ) denotes the function, ( x ) represents the input variable (a real number), and ( f(x) ) is the output (also a real number). For example, in the function ( f(x) = 2x + 3 ), ( x ) is the independent variable, and ( f(x) ) is the dependent variable, indicating how the output value changes based on the input value.
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) ).
Yes. As long as there is only 1 value for each argument, it is a function. For example, the range of the sine function (y = sin x), for real values of x, consists of all the real numbers from -1 to 1 inclusive, and this range repeats infinitely many times. But for each value of x, there is only 1 value of sin x.