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

AI Thread Summary
The discussion focuses on finding the intersection points of the equations y=3x^2 and y=3^x using graphing techniques, as algebraic methods are not permitted. The identified intersection points include (-0.451, 0.0609), (1, 3), and (3, 27). Participants suggest creating tables of values and plotting the graphs to visually identify intersections. A few links to graphing tools are shared for assistance in visualizing the functions. The conversation emphasizes the importance of graphing to estimate intersection points accurately.
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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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