the movement of the progress bar may be uneven because questions can be worth more or less (including zero)…

the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depe which function is represented by the graph below? f(x)=e^x f(x)=e^(-x) f(x)=ln x f(x)=log x

the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depe which function is represented by the graph below? f(x)=e^x f(x)=e^(-x) f(x)=ln x f(x)=log x

Answer

Explanation:

Step1: Analyze properties of $y = e^{x}$

The function $y = e^{x}$ is an exponential - growth function. As $x\rightarrow-\infty$, $y\rightarrow0$; as $x\rightarrow+\infty$, $y\rightarrow+\infty$. This does not match the given graph.

Step2: Analyze properties of $y = e^{-x}$

The function $y = e^{-x}=\left(\frac{1}{e}\right)^{x}$ is an exponential - decay function. When $x = 0$, $y=e^{-0}=1$; as $x\rightarrow+\infty$, $y\rightarrow0$; as $x\rightarrow-\infty$, $y\rightarrow+\infty$. This matches the given graph.

Step3: Analyze properties of $y=\ln x$

The domain of $y = \ln x$ is $(0,+\infty)$. The graph of $y=\ln x$ passes through the point $(1,0)$ and is an increasing function. This does not match the given graph.

Step4: Analyze properties of $y=\log x$

Assuming base - 10 logarithm, the domain of $y=\log x$ is $(0,+\infty)$. The graph of $y = \log x$ is an increasing function and passes through the point $(1,0)$. This does not match the given graph.

Answer:

B. $f(x)=e^{-x}$