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The value of y as x changes depends on the function under consideration. The answer could be any of the following (or something quite different):

  • y approaches a specific value
  • y approaches positive or negative infinity
  • y is undefined
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What happens to the fraction if the denominator of a negative fraction increases?

The fraction becomes less negative. It remains a negative fraction but moves nearer to 0.


What shape does a inverse graph have?

An inverse graph typically has a hyperbolic shape, characterized by two branches that approach the axes but never touch them, known as asymptotes. Specifically, in the context of the function (y = \frac{1}{x}), the graph is located in the first and third quadrants. As (x) approaches zero, (y) tends to infinity, and as (x) moves towards positive or negative infinity, (y) approaches zero. This results in a distinct "U" or hyperbola-like appearance.


What is the outcome when a negative plus a positive?

When a negative number is added to a positive number, the outcome depends on the relative magnitudes of the two numbers. If the positive number is larger, the result will be positive; if the negative number is larger, the result will be negative. If they are equal in magnitude, the result will be zero. In essence, the sum moves towards the larger absolute value.


What happens to a graph if the y intercept is changed?

The point that moves (if none a new point is made) goes up or down the graph. Up is a positive number. Down is a negative number.


When you add a negative integer with a negative integer do you get a positive integer?

Negative. Sorry. No you do not. Adding a negative to a negative gives you a number that is even more negative. Picture a number line. A negative number is to the left of zero, and adding a negative number moves further left. ■

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