Question

reflections across the y - axis
graph the reflection of ( f(x)=1.5(0.5)^{x} ) across the y - axis.
step 1: from the given function, determine the reflected function.
( g(x)=1.5 vee(0.5)^{-x} )
step 2: calculate the initial value of the reflected function.
( g(0)=square vee )

Explanation:

Step1: Substitute \(x = 0\) into \(g(x)\)

Given \(g(x)=1.5(0.5)^{-x}\), when \(x = 0\), we have \(g(0)=1.5(0.5)^{-0}\).

Step2: Simplify the expression

Since \(a^{0}=1\) for \(a
eq0\), then \((0.5)^{-0}=(0.5)^{0} = 1\). So \(g(0)=1.5\times1\).

Answer:

\(1.5\)