The domain is from negative infinity to positive infinity. The range is from positive 2 to positive infinity.
A cubic function, continuous, differentiable.
y < 1
y=-x^2 +7 The range is the possible values of y for all acceptable values of x. In this case x can be anything, so at its smallest value of 0, y=7, and at its largest value of infinity, y=negative infinity, so the range is negative infinity to 7.
Some of the characteristics of such a function are:The function is continuous (it doesn't make sudden jumps)The derivative is continuous (the function doesn't suddenly change its direction)The function is unbounded - as "x" grows larger and larger, f(x) approaches either plus or minus infinity (i.e., it grows without bounds).In the complex numbers, any polynomial has at least one zero.
The domain is from negative infinity to positive infinity. The range is from positive 2 to positive infinity.
The quadric equation is: negative b plus or minus the square root of b squared minus 4ac all over(divided by) 2a
The numerator function x2 - 4 and the denominator function x2 + 3x + 2 are both continuous functions of x for the entire x-axis. However, the quotient of these two functions is not continuous when the denominator function has the value of 0, because division by zero is not defined. The denominator function is 0 when x = -1 or -2. Therefore, the quotient function is not fully continuous over any intervals that include -1 or -2, but it is "piecewise continuous" over other intervals of the x-axis.
A cubic function, continuous, differentiable.
If the domain is the real numbers then so is the range.
y < 1
y=-x^2 +7 The range is the possible values of y for all acceptable values of x. In this case x can be anything, so at its smallest value of 0, y=7, and at its largest value of infinity, y=negative infinity, so the range is negative infinity to 7.
Some of the characteristics of such a function are:The function is continuous (it doesn't make sudden jumps)The derivative is continuous (the function doesn't suddenly change its direction)The function is unbounded - as "x" grows larger and larger, f(x) approaches either plus or minus infinity (i.e., it grows without bounds).In the complex numbers, any polynomial has at least one zero.
Some of the characteristics of such a function are:The function is continuous (it doesn't make sudden jumps)The derivative is continuous (the function doesn't suddenly change its direction)The function is unbounded - as "x" grows larger and larger, f(x) approaches either plus or minus infinity (i.e., it grows without bounds).In the complex numbers, any polynomial has at least one zero.
Y = x squared -4x plus 3 is an equation of a function. It is neither called a domain nor a range.
The function is a simple linear function and so its nature does not limit the domain or range in any way. So the domain and range can be the whole of the real numbers. If the domain is a proper subset of that then the range must be defined accordingly. Similarly, if the range is known then the appropriate domain needs to be defined.
If you mean the arcsin function then the range is the whole of the real numbers - from "minus infinity" to "plus infinity". If you mean the cosecant function, the answer is the whole of the real numbers excluding (-1, 1).