Question

What are the repeated values of a linear transformation?

1) Only positive values
2) Only negative values
3) Both positive and negative values
4) No repeated values

Answer 1

A linear transformation can have positive and negative repeated values.

Step-by-step explanation:

A linear transformation can have both positive and negative repeated values.

In linear transformations, any repeated values of the input variable (x) will result in the same transformation output (y). This means that for some x values, the linear transformation will produce the same y value, which can be positive or negative.

For example, let's consider the linear transformation y = 2x. If we plug in x = 3 and x = 6, we get y = 2(3) = 6 and y = 2(6) = 12, respectively. Here, the value of 6 is repeated as the input, but it produces a different output (y) each time.

Therefore, the correct answer is option 3) Both positive and negative values.