Question

s and shrinks of exponential functions
ial values not equal to 1
use the graph of the exponential growth function $f(x)=a(2^{x})$ to determine which statement is true.

1. $f(0)=3$ when $a=3$
2. $f(0)=2$ when $a=\frac{1}{2}$
3. $f(1)=9$ when $a=9$

Explanation:

Step1: Evaluate $f(0)$ for $a=3$

Substitute $x=0$, $a=3$ into $f(x)=a(2^x)$:
$f(0)=3\times2^0=3\times1=3$

Step2: Evaluate $f(0)$ for $a=\frac{1}{2}$

Substitute $x=0$, $a=\frac{1}{2}$ into $f(x)=a(2^x)$:
$f(0)=\frac{1}{2}\times2^0=\frac{1}{2}\times1=\frac{1}{2}$

Step3: Evaluate $f(1)$ for $a=9$

Substitute $x=1$, $a=9$ into $f(x)=a(2^x)$:
$f(1)=9\times2^1=9\times2=18$

Answer:

$f(0) = 3$ when $a = 3$