Answer: D) y = 2ˣ
Step-by-step explanation:
This is the graph of an exponential function.
The y-intercept is 1 so the first coordinate to try is (0, 1).
Which of the options provided works for that coordinate? all of them
The next coordinate is (1, 2).
Which of the options provided works for that coordinate? y = 2ˣ
[tex]A)\ y=-\dfrac{1}{2}^x\quad \rightarrow \quad 2=-\dfrac{1}{2}^1\quad \text{is False}\\\\\\B)\ y=\dfrac{1}{2}^x\quad \rightarrow \quad 2=\dfrac{1}{2}^1\quad \text{is False}\\\\\\C)\ y=-2^x\quad \rightarrow \quad 2=-2^1\quad \text{is False}\\\\\\D)\ y=2^x\quad \rightarrow \quad 2=2^1\quad \text{is TRUE!}[/tex]
