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How do you find the domain and range of log5x and y5x?
The domain is the set of values that x may take that gives back an answer that makes sense. The range is the set of values that are possible results of the function. the "log" function does not accept 0 or negative values on its domain and returns negative, zero and positive numbers (ie all real values). The next function does not appear properly but you could figure it out
What are the domain and range of the function?
The domain of a function is the set of values for which the function is defined.The range is the set of possible results which you can get for the function.
How can you tell if an exponential function will be decreasing of increasing?
Consider the function y = an If a < -1 it oscillates between negative and positive values, with the oscillations increasing. If a = -1, it oscillates between -1 and 1. If -1 < a < 0 it oscillates between negative and positive values, with the oscillations deceasing. if 0 < a < 1, it is decreasing. If a = 1, it is 1 for all n If a > 1, it is increasing.
What do you do when subtracting a positive and a negative?
If you subtract a negative from a positive, add both of their absolute values. If you subtract a positive from a negative, add both of their absolute values and multiply by negative one.
Is y equals x squared a nonlinear function?
Yes, y=x^2 is a non-linear function. In fact it is a parabola. Graphing one is quite easy using a table of values or other methods.
Is x equals y a function?
y = x This is a line and a function. Function values are y values.
Is x equals the square root of y-4 a function?
The square root operation is not a function because for each value of y there can be 2 values of x - the principal square root and its negative. This can only be rectified by limiting the range of the opearation to the principal or positive square root. Furthermore, it also depends on the domain of the function. If y<4 then the square root is not defined within Real numbers. So, for y ≥ 4, x = +sqrt(y-4) is a function.
Which the function's values become very positive or negative numbers?
The positive regions of a function are those intervals where the function is above the x-axis. It is where the y-values are positive (not zero). The negative regions of a function are those intervals where the function is below the x-axis. It is where the y-values are negative (not zero).
What is the absolute value function?
It is a function that leaves all non-negative values unchanged but changes all negative values to their additive inverse (that is, their positive equivalent).
Does the equation define y as a function of x x equals y squared?
It depends on the domain of y. If that is restricted to non-negative values, then the answer is yes. But if y is allowed to be negative, then the answer is no because then there are two values of y for each non-zero value of x.
A function has vertical asymptotes at x-values for which it is and near which the function's values become very positive or negative numbers?
Undefined; large
What does domain and estimate the range mean in math?
"Domain" means for what numbers the function is defined (the "input" to the function). For example, "x + 3" is defined for any value of "x", whereas "square root of x" is defined for non-negative "x". "Range" refers to the corresponding values calculated by the function - the "output" of the function. If you write a function as y = (some function of x), for example y = square root of x, then the domain is all possible values that "x" can have, whereas the range is all the possible values that "y" can have.
Why does the square root function have a restricted domain?
The square root function has a restricted domain because it is defined only for non-negative real numbers. This restriction arises from the fact that the square root of a negative number is not a real number, leading to complex results instead. To ensure that the function produces real outputs, the domain is limited to zero and positive values. Hence, for the function ( f(x) = \sqrt{x} ), the domain is ( x \geq 0 ).
What do the absolute value of a function do to the graph of that function?
The absolute value of a function changes the original function by ensuring that any negative y values will in essence be positive. For instance, the function y = absolute value (x) will yield the value +1 when x equals -1. Graphically, this function will look like a "V".
What is the math term for domain?
In mathematics, the term "domain" refers to the set of all possible input values (typically represented as (x)) for a given function. It defines the range of values that can be substituted into the function without causing any mathematical inconsistencies, such as division by zero or taking the square root of a negative number. Essentially, the domain specifies the values for which the function is defined.
What best describes a domain of a function?
The domain of a function is the complete set of possible input values (typically represented as (x)) for which the function is defined. It includes all values that can be substituted into the function without resulting in any mathematical errors, such as division by zero or taking the square root of a negative number. Essentially, the domain encompasses all the valid inputs that yield real outputs for the function.
What is the function table for x equals 3?
First column, of x values, is the domain of x - whatever that may be. Second column, of function values is always 3.
