Question

graph: $f(x) = 2^{x - 1}$
step 1: find the value of $x$ that makes the exponent zero by solving this equation: $x - 1 = 0$
$x = 1$
calculate the value of the function.
$f(1) = 1$
step 2: plot the value of the function at $(1, 1)$.
step 3: evaluate the function at two more points.
$f(0) = 1$
options for $f(0)$: $1/2$, $1$, $2$

Explanation:

Step1: Evaluate \( f(0) \)

Substitute \( x = 0 \) into \( f(x)=2^{x - 1} \). So \( f(0)=2^{0 - 1}=2^{-1}=\frac{1}{2} \).

Step2: Correct the previous wrong value

The original selection of \( f(0) = 1 \) is incorrect. The correct value is \( \frac{1}{2} \).

Answer:

For \( f(0) \), the correct value is \( \frac{1}{2} \) (so the option should be \( \frac{1}{2} \) from the dropdown).