Question

What is g(x)?
A. g(x) = -2
B. g(x) = -x
C. g(x) = -|x|
D. g(x) = -x^2

Answer 1

Its A,
`-2^x`.

For inputs x you can find corresponding y-values on the graph of function:

`x=1\implies y=-2^1=-2`

`x=2\implies y=-2^2=-4`

`x=3\implies y=-2^3=-8`

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Hope this helps.

Answer 2

A. g(x) = -2^x.

Explanation:

If g(x) = -2, it would be a straight line running horizontally.

If g(x) = -x, it would be a linear equation.

If g(x) = -|x|, it would be an absolute value function, which is a graph in a v-shape.

So, the remaining answer is that A. g(x) = -2^x.

Hope this helps!