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Lyrx
1 month ago
5

Which of the following functions is graphed below?

Mathematics
2 answers:
Leona [12.6K]1 month ago
5 0

The answer is C

Here’s a detailed breakdown:

Step-by-step explanation:

Leona [12.6K]1 month ago
3 0

We have a piecewise function consisting of a parabolic graph and a linear graph.

When the parabolic graph of y=x^2 is elevated by 6 units, the new equation becomes

y=x^2+6.

Given that the parabola aligns with this requirement, its equation can be expressed as

y=x^2+6

The parabola extends to x=3, where there is an open circle at this point. Thus, we need to use a less than sign.

Next, the line's equation is determined as y=-x+6

Since there is a solid dot, we must employ the greater than or equal to sign.

Consequently, the piecewise function's equation is derived as

y=\left\{\begin{matrix}
x^2=6, x

C is the right choice.

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