Answer:
Simon is correct because even though the input values are opposite in the reflected function, any real number can be an input.
Step-by-step explanation:
<u>Exponential Function</u>
General form of an exponential function:
where:
- a is the initial value (y-intercept)
- b is the base (growth/decay factor) in decimal form
- x is the independent variable
- y is the dependent variable
If b > 1 then it is an increasing function
If 0 < b < 1 then it is a decreasing function
<u>Reflection in the y-axis</u>
As the exponential function is a <u>growth function</u>, b > 1.
If the exponential growth function has been reflected in the y-axis, the x variable is <u>negative</u>:
Regardless whether the initial value (y-intercept) is positive or negative, the domain of an exponential function is (-∞, ∞) so it is <u>unrestricted</u>.
Therefore, if the function is reflected across the y-axis, the output value for each input value will change, but the domain itself <u>will not change</u> and will still be <u>all real numbers</u>.
Learn more about graph transformations here:
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