Question

3. Error Analysis The addition or subtraction of

a number to a linear a function always moves
the line up or down. Describe the error with
this reasoning. MP.3

Answer 1

Adding or subtracting a number to a linear function does not always move the line up or down. The direction of movement depends on the sign of the number and the slope of the linear function.

When a number is added or subtracted to a linear function, it does not always move the line up or down. The error in this reasoning is that the direction of the movement depends on the sign of the number being added or subtracted, as well as the slope of the linear function.

If a positive number is added or subtracted, the line will move up or down, respectively. However, if a negative number is added or subtracted, the line will move down or up, respectively. The magnitude of the movement will also depend on the value of the number being added or subtracted.

For example, consider the linear function y = 2x. If we add 3 to this function, the line will shift up by 3 units, resulting in y = 2x + 3. Conversely, if we subtract 3, the line will shift down by 3 units, resulting in y = 2x - 3.

Answer 2

Adding or subtracting a number to a linear function does not always move the line up or down, it depends on whether the number is positive or negative.

Step-by-step explanation:

Adding or subtracting a number to a linear function does not always move the line up or down.

If the number is positive, the line will shift up, and if the number is negative, the line will shift down.

For example, if we have the linear function y = 2x and we add 3 to it, the new function will be y = 2x + 3, and the line will shift up by 3 units.

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