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Levart [38]
3 years ago
6

Which rules define the function graphed below? (15 points cuz I'm stumped)

Mathematics
1 answer:
Lana71 [14]3 years ago
4 0

Answer:  Choice A

y=2x+3; y=-1/3x+3

==================================================

Explanation:

The left portion of the blue curve is y = 2x+3 but it is only graphed when x < 0 (we could argue that x \le 0 but I'll set that aside for the other portion).

The right portion is the line y = -1/3x + 3 and it's only graphed when x \ge 0

So we could have this piecewise function

f(x) = \begin{cases}2x+3 \ \text{ if } x < 0\\-\frac{1}{3}x+3 \ \text{ if } x \ge 0\\\end{cases}

Or we could easily swap the "or equal to" portion to move to the first part instead like this

f(x) = \begin{cases}2x+3 \ \text{ if } x \le 0\\-\frac{1}{3}x+3 \ \text{ if } x > 0\\\end{cases}

Either way, we're involving the equations mentioned in choice A

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