x = -1: f(x) = 2
x = -4: f(x) = 6
x = -9: f(x) = 12
x = -16: f(x) = 20
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
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.
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.
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.
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.
y = x This is a line and a function. Function values are y values.
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).
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.
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).
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.
Undefined; large
"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.
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".
First column, of x values, is the domain of x - whatever that may be. Second column, of function values is always 3.
Yes, none of the X values repeat, therefore it is a function. X=0 is not a function though.
x2+2x+1=y or y=x2 In this function the domain is x equals real values and the range is y equals all real values provided y is more than or equal to zero.
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