graph: $f(x)=2^{x - 1}$\nstep 1: find the value of $x$ that makes the exponent zero by solving this…

graph: $f(x)=2^{x - 1}$\nstep 1: find the value of $x$ that makes the exponent zero by solving this equation: $x - 1 = 0$\n$x = 1$\ncalculate the value of the function.\n$f(1)=$

graph: $f(x)=2^{x - 1}$\nstep 1: find the value of $x$ that makes the exponent zero by solving this equation: $x - 1 = 0$\n$x = 1$\ncalculate the value of the function.\n$f(1)=$

Answer

Answer:

$1$

Explanation:

Step1: Substitute (x = 1) into the function

Given (f(x)=2^{x - 1}), when (x = 1), we have (f(1)=2^{1-1}).

Step2: Simplify the exponent

Calculate (1 - 1=0), so (f(1)=2^{0}).

Step3: Evaluate the exponential expression

Since (a^{0}=1) ((a\neq0)), and here (a = 2), then (2^{0}=1).