Comparing Functions Represented in Different Ways Practice Test

Function $f$ is described verbally as: “An exponential function with initial value $5$ and growth factor $1.5$.” Function $g$ is given algebraically by $g(x)=4\cdot 2^x$.

Which function has the larger $y$-intercept?

Function $f$ is linear and given by $f(x) = -4x + 7$. Function $g$ is represented by the table.

\begin{center}

\begin{tabular}{c|c}

$x$ & $g(x)$ \\hline

$0$ & $2$ \

$1$ & $5$ \

$2$ & $8$ \

$3$ & $11$ \

\end{tabular}

\end{center}

Which function has the greater slope (rate of change)?