<u>Answer-</u>
The domain of g(x) is all real numbers.
<u>Solution-</u>
The given function is,
The reflection across y-axis of a point (x, y) will be (-x, y)
So, the reflection of the given function across y-axis will be,
It is an exponential function. The domain of exponential functions is all real numbers and the range is all real numbers greater than zero.
Therefore, first option is correct.
The domain is the set of allowed x inputs, or x coordinates of a function. In this case, any point on the curve has an x coordinate that is 4 or smaller.
Therefore, the domain is the set of numbers x such that
To write this in interval notation, we would write This interval starts at negative infinity and stops at 4. We exclude infinity with the curved parenthesis and include 4 with the square bracket.
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The range is the set of possible y outputs. Every point on this curve has a y coordinate that is either 0 or it is larger than 0.
The range is the set of y values such that
In interval notation, it would be written as This time we start at 0 (including this endpoint) and "stop" at infinity
note: we always use curved parenthesis at positive or negative infinity because we cannot reach either infinity
<u>Part 1</u>: Correct.
<u>Part 2</u>
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