Question

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Answer 1

`g(x) = -11^x+5`

y-intercept: (0,4)

domain: (-∞, ∞)

range: (-∞, 5)

Explanation:

To reflect a graph across the x-axis, simply add a negative sign in front. To shift a graph upwards or downwards, add a constant to the function. Then, the graph of g(x) can be expressed as
`-11^x+5`.

The y-intercept of a graph is when x=0. Plugging this into our expression for g(x), we have that the y-intercept of g(x) is (0, 4).

The domain of g(x), since it is an exponential function, is all reals, which can be expressed in interval notation as (-∞, ∞) or simply
`\mathbb{R}`.

The range of g(x), since
`11^x > 0`, is (-∞, 5).