use - 2, - 1, 0, 1, and 2 for x and find the corresponding values of f(x) for the following exponential function. then, choose which graph represents the exponential function

f(x)=2^{(x + 1)}

now, choose which graph represents f(x)=2^{(x + 1)}

a.
b.
c.
d.

Question

use - 2, - 1, 0, 1, and 2 for x and find the corresponding values of f(x) for the following exponential function. then, choose which graph represents the exponential function

f(x)=2^{(x + 1)}

now, choose which graph represents f(x)=2^{(x + 1)}

a.
b.
c.
d.

Accepted Answer

# Explanation:
## Step1: Calculate $ f(x) $ for $ x = - 2 $
Substitute $ x=-2 $ into $ f(x)=2^{(x + 1)} $.
$$
\begin{align*}
f(-2)&=2^{-2 + 1}\
&=2^{-1}\
&=\frac{1}{2}
\end{align*}
$$
## Step2: Calculate $ f(x) $ for $ x=-1 $
Substitute $ x = - 1 $ into $ f(x)=2^{(x + 1)} $.
$$
\begin{align*}
f(-1)&=2^{-1+1}\
&=2^{0}\
&=1
\end{align*}
$$
## Step3: Calculate $ f(x) $ for $ x = 0 $
Substitute $ x = 0 $ into $ f(x)=2^{(x + 1)} $.
$$
\begin{align*}
f(0)&=2^{0 + 1}\
&=2^{1}\
&=2
\end{align*}
$$
## Step4: Calculate $ f(x) $ for $ x = 1 $
Substitute $ x = 1 $ into $ f(x)=2^{(x + 1)} $.
$$
\begin{align*}
f(1)&=2^{1+1}\
&=2^{2}\
&=4
\end{align*}
$$
## Step5: Calculate $ f(x) $ for $ x = 2 $
Substitute $ x = 2 $ into $ f(x)=2^{(x + 1)} $.
$$
\begin{align*}
f(2)&=2^{2+1}\
&=2^{3}\
&=8
\end{align*}
$$
The function $ y = 2^{(x + 1)} $ is an exponential growth function (since the base $ a=2>1 $). When $ x=-1,y = 1 $; when $ x = 0,y=2 $; when $ x=1,y = 4 $; when $ x = 2,y=8 $

# Answer:
B.

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QUESTION IMAGE

Question

Explanation:

Step1: Calculate \( f(x) \) for \( x = - 2 \)

Step2: Calculate \( f(x) \) for \( x=-1 \)

Step3: Calculate \( f(x) \) for \( x = 0 \)

Step4: Calculate \( f(x) \) for \( x = 1 \)

Step5: Calculate \( f(x) \) for \( x = 2 \)

Answer: