Question

Choose the definition for the function.

Answer 1

The definition of the piecewise function in this problem is given by:

a.

• y = x + 1, x ≤ 2.

• y = x + 1, x > 2.

What is a piecewise function?

A piecewise function is a function that has different definitions, depending on the input.

For x until x = 2, we have a linear function with an intercept of 1 and slope of 1, hence the definition is:

y = x + 1, x ≤ 2.

After x = 2, the function is shifted up one unit, hence:

y = x + 1 + 1, x > 2

y = x + 2, x > 2.

Hence option A is correct.

More can be learned about piecewise functions at brainly.com/question/27262465

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