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AURORKA [14]
3 years ago
5

The graph of a line and an exponential can intersect twice, once or not at all. Describe the possible number of intersections fo

r each of following pairs of graphs. Your solution to each part should include all possibilities and a quickly sketched example of each one. Part 2; (SHOW WORK)
c. A parabola and a circle

d. A parabola and the hyperbola y = 1/x
Mathematics
1 answer:
Katyanochek1 [597]3 years ago
7 0

Answer:

  c) parabola and circle: 0, 1, 2, 3, 4 times

  d) parabola and hyperbola: 1, 2, 3 times

Step-by-step explanation:

c. A parabola can miss a circle, be tangent to it in 1 or 2 places, intersect it 2 places and be tangent at a 3rd, or intersect in 4 places.

__

d. A parabola must intersect a hyperbola in at least one place, but cannot intersect in more than 3 places. If the parabola is tangent to the hyperbola, the number of intersections will be 2.

If the parabola or the hyperbola are "off-axis", then the number of intersections may be 0 or 4 as well. Those cases seem to be excluded in this problem statement.

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