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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 does function of x equals function of -x mean?
It means that the value of the function at any point "x" is the same as the value of the function at the negative of "x". The graph of the function is thus symmetrical around the y-axis. Examples of such functions are the absolute value, the cosine function, and the function defined by y = x2.
How do you determine that the amplitude of y equals -2 sin x?
The amplitude of a function is half the distance between the maximum and minimum values. This is the absolute value of the number in front of the trig function. for example, y=Asin(x) or y= Acos(x) the absolute value of A is the amplitude. Therefore, the amplitude of y=-2sinx is 2
How do you find out if y is a function of x?
y is a function of x iffor each value of x (in the domain) there is a value of y, andfor each value of y (in the range) there is at most one value of x.
What is the range of the secant function?
absolute value of y> 1
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 equation for the absolute value function stretched vertically by a value of 4 and reflected across the x axis?
Start with y = |x|, then y = 4|x|, and then y = -4|x|.
What does function of x equals function of -x mean?
It means that the value of the function at any point "x" is the same as the value of the function at the negative of "x". The graph of the function is thus symmetrical around the y-axis. Examples of such functions are the absolute value, the cosine function, and the function defined by y = x2.
How do you determine that the amplitude of y equals -2 sin x?
The amplitude of a function is half the distance between the maximum and minimum values. This is the absolute value of the number in front of the trig function. for example, y=Asin(x) or y= Acos(x) the absolute value of A is the amplitude. Therefore, the amplitude of y=-2sinx is 2
If x is a rational number a y is the opposite of x why do x and y have the same absolute value?
That is how absolute values are defined.
If x is a rational number and y is the opposite of x why do x and y have the same absolute value?
Because absolute value is always positive.
Is the function y absolute value of (x-7) differentiable at x7?
No, because of the sudden change of direction at that point.
How do you find out if y is a function of x?
y is a function of x iffor each value of x (in the domain) there is a value of y, andfor each value of y (in the range) there is at most one value of x.
How is y related to x as a function?
In a function, y is related to x by a specific rule or equation that determines the value of y based on the value of x.
What is the range of the secant function?
absolute value of y> 1
Is X is a rational number and Y is the opposite of X why do X and Y have the same absolute value?
X and Y have the same absolute value because the opposite of a number doesn't change its distance from zero. The absolute value of a number represents its distance from zero on the number line, and since X and Y are opposites, they have the same distance from zero.
What is the minimum value of the function u(x, y) when considering both x and y as variables?
The minimum value of the function u(x, y) occurs at the point where the function reaches its lowest value when both x and y are considered as variables.
