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Landon graphs the following 3 equations: y = 2x y = x2, and y = 10x2.

He says that the graph of y = 2x will eventually surpass the graph of y = x2
but not the graph of y = 10x2.
Is Landon correct? Why or why not?

User Steph Rose
by
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2 Answers

2 votes

Answer: Landon is not correct. The graph of y = 2x will grow at an increasingly increasing rate, but the graph of y = 10x2 grows at a constantly increasing rate. Therefore, the graph of y = 2x will eventually pass the graph of y = 10x2.

Explanation:

User Jhonson
by
7.7k points
5 votes

Answer:

Landon is not correct.

The graph of y = 2x will grow at an increasingly increasing rate, but the graph of y = 10x2 grows at a constantly increasing rate.

Therefore, the graph of y = 2x will eventually pass the graph of y = 10x2.

Explanation:

Yes, graphs of exponential equations grow at an increasingly increasing rate.

Graph with X-axis labeled at negative 5, 5, and 10, and Y-axis labeled by 5 hundreds from 0 to 1,500. 2 curves are plotted in different colors. One is y = 2 to the x power, and the other is y = 10 x squared. Both are curves opening up and to the right.

y = x2 grows more quickly at first, but y = 2x eventually overtakes y = x2.

User Paul Bone
by
8.6k points