Question

Which of the following functions is graphed below?

Answer 1

The definition of the given piecewise function is:

• $y = x^3  - 3, x \leq 2$

• $y = x^2 + 6, x > 2$

What is a piecewise function?

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

In this problem, for x until 2, the function is the cube function shifted down 3 units, hence the definition is:

$y = x^3  - 3, x \leq 2$

For x greater than 2, the function is the square function shifted up 6 units, hence the definition is:

$y = x^2 + 6, x > 2$

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

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