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Rasek [7]
3 years ago
14

Consider the function graphed below.

Mathematics
1 answer:
aivan3 [116]3 years ago
8 0

Answer:

B. (see attached)

Step-by-step explanation:

All the answers agree that the function is x² for x < 1. Where they disagree is in the slope and y-intercept of the linear portion for x > 1.

The line has a slope that is less than 1 unit of rise for 1 unit of run, so will not be selections A or C, which have slopes of 3.

The y-intercept is clearly positive if we extend the line to the left until it reaches the y-axis. This eliminates selection D from consideration, leaving only selection B.

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Y = -2/3x + 5....the slope here is -2/3. A perpendicular line will have a negative reciprocal slope. To find the negative reciprocal, we flip the slope and change the sign. So our perpendicular line will have a slope of 3/2 (see how I flipped -2/3 making it -3/2....and then changed the sign, making it 3/2)

y = mx + b
slope(m) = 3/2
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now we sub and find b, the y int
1 = 3/2(8) + b
1 = 12 + b
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