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NNADVOKAT [17]
3 years ago
12

Which of the following functions is graphed below

Mathematics
2 answers:
Delicious77 [7]3 years ago
5 0
Darn it i was looking for the same thing 
mojhsa [17]3 years ago
4 0

Answer:

y=\begin{cases}x^3-3 & \text{ if } x\le 2 \\ x^2+6 & \text{ if } x>2 \end{cases}

Step-by-step explanation:

The given graph represents a piecewise function. The graph is discontinuous at x=2.

Open circle represents that the point x=2 is not included in the function and closed circle represents that the point x=2 is included in the function.

For x≤2, it a the graph of a cubic function which is generated by shifting the graph of y=x^3 to three units down.

y=x^3-3 for x≤2

For x>2, it a the graph of a quadratic function which is generated by shifting the graph of y=x^2 to 6 units up.

y=x^2+6 for x>2

Therefore, the graph represents the function

y=\begin{cases}x^3-3 & \text{ if } x\le 2 \\ x^2+6 & \text{ if } x>2 \end{cases}.

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