Yes
The domain of a function represents the set of x values and the range represents the set of y values. Since y=x, the domain is the same as the range. In this case, they both are the set of all real numbers.
1-10-2007 = i-x-mmvii They are more preferable in capital letters but they both have the same values.
No, -2x is not the same as x - 2. The expression -2x represents the product of -2 and x, while x - 2 represents the value of x decreased by 2. They are different algebraic expressions and will yield different values for most values of x.
If they are the same for only some values of the variables, they form an equation. If they are the same for all values of the variables, they form an identity. For example, (x + y)2 = x2 + y2 is an equation which is true if x = 0 or y = 0 (or both), while (x + y)2 = x2 + 2xy + y2 is always true and so is an identity.
The behavior of the y-values as the x-values increase depends on the specific relationship between the two variables. If the relationship is positive, the y-values will increase as the x-values increase. If the relationship is negative, the y-values will decrease. In some cases, the y-values may remain constant regardless of changes in the x-values.
Yes, depending on the function. For example, in the function y = x squared, for x-values of both 2 and -2 you get the same y-value.
Quadrants I and III. In Quadrant I, the values are both positive. In Quadrant III, the values are both negative.
When 'x' and 'y' both have the same sign.
The domain of a function represents the set of x values and the range represents the set of y values. Since y=x, the domain is the same as the range. In this case, they both are the set of all real numbers.
No. If an x-value is repeated but both values have the same image, you can still have a valid function. x values not repeating is not sufficient if there is no image. For example, consider 1/x and the domain as the integers -3, -2, -1, 0, 1, 2, 3. None of the x values repeats but there is no functional relationship because 1/x is not even defined for x = 0.
If the points have both positive y-values and x-values it is quadrant 1 If the points have a negative x-value and a positive y-value it is quadrant 2 If the points have both negative y-values and x-values it is quadrant 3 If the points have a positive x-values and a negative y-value it is quadrant 4
tan(-x) = -tan(x)
1-10-2007 = i-x-mmvii They are more preferable in capital letters but they both have the same values.
No, -2x is not the same as x - 2. The expression -2x represents the product of -2 and x, while x - 2 represents the value of x decreased by 2. They are different algebraic expressions and will yield different values for most values of x.
If they are the same for only some values of the variables, they form an equation. If they are the same for all values of the variables, they form an identity. For example, (x + y)2 = x2 + y2 is an equation which is true if x = 0 or y = 0 (or both), while (x + y)2 = x2 + 2xy + y2 is always true and so is an identity.
The behavior of the y-values as the x-values increase depends on the specific relationship between the two variables. If the relationship is positive, the y-values will increase as the x-values increase. If the relationship is negative, the y-values will decrease. In some cases, the y-values may remain constant regardless of changes in the x-values.
The top right one... it is the first because it is where both the x-value and y-values are positive. The second quadrant is the top left. The x-values are negative and the y-values are postive. The third quadrant is the bottom left. The x-values are negative and the y-values are negative. The fourth quadrant is the bottom right. The x-values are positive and the y-values are negative.