Graphing Intersection Points for y=3x^2 and y=3^x | Algebra Homework Help

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Homework Help Overview

The discussion revolves around finding the intersection points of the functions y=3x² and y=3^x using graphing techniques, as algebraic methods are not permitted. The original poster mentions specific intersection points and expresses uncertainty about finding one of them.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • The original poster attempts to create a table of values for x ranging from -3 to 3 and identifies some intersection points but struggles with one specific point. Participants suggest graphing the functions and finding zeros of their difference to identify intersections.

Discussion Status

Participants are engaged in exploring graphing techniques and have provided suggestions for how to approach the problem. There is an acknowledgment of the need for visual representation to facilitate further assistance.

Contextual Notes

The original poster is constrained by the requirement to find intersection points graphically and cannot use algebraic proofs. There is also a mention of uncertainty regarding which graph to share for better assistance.

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Homework Statement



Find the intersection points of y=3x^2 and y=3^x

Homework Equations



They must be found with graphing techniques and cannot be proved algebraically. The answers are (-.451,.0609), (1.3), and (3, 27).

The Attempt at a Solution



Table of values from -3 to 3 for x, and i can come up with (1,3) and (3, 27). I really don't know how to find an intersection like (-.451,.0609).not sure which graph to post here...

for (3x^2)-(3^x)

http://www.meta-calculator.com/online/0gzp2kai8ehffor y=3x^2 and y=3^x separately

for (3x^2)-(3^x)

http://www.meta-calculator.com/online/0gzp2kai8ehf for y=3x^2 and y=3^x separately

http://www.meta-calculator.com/online/eqo7hgmc6lsf
and
http://www.meta-calculator.com/online/eqo7hgmc6lsf
 
Last edited:
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draw the graph of the lines and post your drawing, else we cannot help you.
 
On your graph of the difference, you can take the zeros. Use those for x and plug back into one of your equations to find y. Otherwise, plot the two functions on the same graph and do your best to estimate.
 
ok thank you
 

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