Question

Which graph represents a reflection of f(x) = One-third(9)x across the x-axis?

Answer 1

Given :  f(x)  = (1/3)9ˣ

To Find :  graph represents a reflection of f(x)

Solution:

x     f(x)

-1     1/27

0     1/3

1       3

2     27

3      243

a reflection of f(x)  across the x-axis

f(x) becomes  - f(x)

x     -f(x)

-1     -1/27

0     -1/3

1       -3

2     -27

3      -243

Green graph shows f(x)  = (1/3)9ˣ

Blue Graph shows reflection of f(x) across the x axis

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