Functions help

[akashroy]

There are three scenarios that exist where we could have 1 point of intersection between a linear function and a quadratic function or 2 points of intersection, or no points of intersection. In how many ways could the graphs of two parabolas intersect? Draw a sketch to illustrate each possibility. Provide as much detail and information in your answer as possible.

Extend this now to include a quadratic and any of the other functions we have studies this year. You might consider:
A) A quadratic and a root
B) A quadratic and a cubic
C) A quadratic and an absolute value
D) A quadratic and a reciprocal
E) A quadratic and a sinusoidal
F) A quadratic and an exponential

 

[stapel]

This is asking you to use what you've learned and what you've practiced, and create your own drawings. Where are you stuck?

Please be complete. Thank you!

Eliz.

 

[akashroy]

when it says
In how many ways could the graphs of two parabolas intersect?
:|

 

[stapel]

Draw some graphs, and look at the lines. (This exercise requires nothing more than what you learned back in beginning and intermediate algebra. Don't overthink it; just use what you already know.)

Eliz.

 

[mmm4444bot]

when it says In how many ways could the graphs of two parabolas intersect?

They are talking about the same sorts of ways that they gave in the example with the intersection possibilites of a parabola and straight line.

How many different possibilities are there with two parabolas, instead? Describe each of them.

In other words, ask yourself, "Can two parabolas intersect at zero points, at one point, at two points, at three points, at four points, ...?".

How many possibile situations are there?

What are each of them?

Are you okay with their question, now? If not, then please let me know why.

 

[Deleted member 4993]

There are three scenarios that exist where we could have 1 point of intersection between a linear function and a quadratic function or 2 points of intersection, or no points of intersection. In how many ways could the graphs of two parabolas intersect? Draw a sketch to illustrate each possibility. Provide as much detail and information in your answer as possible.

Extend this now to include a quadratic and any of the other functions we have studies this year. You might consider:
A) A quadratic and a root
B) A quadratic and a cubic
C) A quadratic and an absolute value
D) A quadratic and a reciprocal
E) A quadratic and a sinusoidal
F) A quadratic and an exponential

Go to:

http://www.perthhigh.co.uk/uploads/Quad ... ctions.doc

for an initial discussion.