Graphical Reasoning (c & d)

[nycmathguy]

Section 2.2
105 (c & d)

105 (c)

g(x) = f(-x)

g(x) = (-x)^4

g(x) = x^4

I conclude that g(x) = f(x) = original function given. The graph of g does not differ from the graph of f. The function is even. Symmetrical about the y-axis.

Yes?

105 (d)

g(x) = -f(x)

g(x) = -(x^4)

g(x) = -x^4

Here, g(x) = -x^4 is the inverted version of the original function given. The function is odd. It is symmetrical about the origin.

Yes?

 

[MathLover1]

correct

try to do a, b, e, f, g, and h

 

[nycmathguy]

correct

try to do a, b, e, f, g, and h

I will do the rest on paper and post my work here if needed. I should move on to Section 2.3.