Question

part 1 of 2
use the graph of $y = ca^x$ to determine $c$ and $a$.
$c = \square$
$-10, 10 -10, 10$
$xscl=1$ $yscl=1$

Explanation:

Step1: Find C using x=0

For any exponential function $y=Ca^x$, when $x=0$, $a^0=1$, so $y=C$. From the graph, when $x=0$, $y=1$.
$C = 1$

Step2: Find a using a known point

We know $C=1$, so the function is $y=a^x$. From the graph, when $x=2$, $y=4$. Substitute these values:
$4 = a^2$
Solve for $a$: $a = \sqrt{4} = 2$ (since the graph is increasing, we take the positive root)

Answer:

$C=1$, $a=2$