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Quadratic and Other Polynomial Expressions, Equations, and Functions Videos 18 videos

TSI Math: Understanding Points of Intersection
17 Views

Two parabolas are graphed in the coordinate plane. Parabola A is a function, and parabola B is not a function. What is the maximum number of points...

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TSI Math: Understanding Points of Intersection 17 Views


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Description:

Two parabolas are graphed in the coordinate plane. Parabola A is a function, and parabola B is not a function. What is the maximum number of points of intersection that the two parabolas could have?


Transcript

00:02

Okay sy match members is the first of a series

00:05

on quadratic ce and other polynomial expressions equations and functions

00:09

It's a bit more complex than what we've been doing

00:11

but strap yourselves in and it will be fun ish

00:15

All right here we go First question Two parabolas Their

00:18

graft in the co ordinate plane problem is a function

00:22

in problem Bee is not of functions Remember nata functions

00:26

there's got to be a hole in or something undefined

00:28

What is the maximum number of points of intersection that

00:31

the two parappa lives could have Well all right let's

00:36

think about this We're going to draw them and it's

00:38

going to look something like this Art will probably a

00:41

is a function so it opens either downwards or upwards

00:46

like that Problem b isn't cool enough to be in

00:49

the function club which means that it's oriented horizontally opening

00:53

either to the left or the right that is a

00:56

vertical line could pass through it in two places So

01:00

they're like there and there And if we look at

01:01

our sketch here of the horizontal and vertical ones we

01:05

find the greatest possible number of intersection points is four

01:09

so they'd be one two three And yet for so 00:01:12.763 --> [endTime] that's it answer is b for

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