Graphical Reasoning...2

[nycmathguy]

Section 1.8
Question 25

For this question, I want you to graph f, g and f + g but let me answer the question. Use a different color for each graph.

See attachment.

 

[MathLover1]

25.

 

[nycmathguy]

25.

Let x = 1

f(1) = 3(1) or 3

g(1) = -(1)^3/10 or -3/10

Since 3 > -3/10, I say between 0 and 2 on the graph, f(x) is above g(x).

Let x be > 6. How about 7?

f(7) = 3(7) = 21.

g(7) = -(7)^3/10 or - 343/10.

Since 21 > -343/10, I say f(x) is above g(x) for x > 6.

Yes?

 

[MathLover1]

correct

 

[nycmathguy]

correct

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