Question

The function f(x) = –two-sevenths (five-thirds)x is reflected over the y-axis to create g(x). which points represent ordered pairs on g(x)? check all that apply. (–7, –10.206) (–2.5, –4.474) (0, –1.773) (0.5, –0.221) (4, –0.017) (9, –0.003)

Answer 1

The points on the function g(x) are  (–7, –10.206) (–2.5, –4.474), (0.5, –0.221) (4, –0.017) (9, –0.003)

How to determine the point on g(x)?

The function f(x) is given as:

$f(x) = -\frac 27(\frac 53)^x$

The rule of reflection across the y-axis is:

g(x) = f(-x)

So, we have:

$g(x) = -\frac 27(\frac 53)^{-x$

All the points in the options are on the curve of the function g(x) except (0, -1.773)

Hence, the points on the function g(x) are  (–7, –10.206) (–2.5, –4.474), (0.5, –0.221) (4, –0.017) (9, –0.003)

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