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inysia [295]
2 years ago
7

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

ach of the following pairs of graph. Your solution to each part should include all of the possibilities and a quickly sketched example of each one. (Part 1)(SHOW WORK)
a. A line and a parabola

b. Two different parabolas
Mathematics
1 answer:
avanturin [10]2 years ago
4 0

a) A line can intersect a parabola at 2 points, 1 point, or no points respectively. The only possible way at which it intersects at 1 point, would be if it were tangent to the parabola. [Check first attachment]

b) Two different parabolas can intersect at 2 points, 1 point or no points respectively. [Check second attachment]

It is possible for 2 parabolas to intersect at 4 and even 3 points. But one of the parabolas would be on it's side. You can consider those cases.

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