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without graphing, determine whether the function represents exponential…

Question

without graphing, determine whether the function represents exponential growth or exponential decay. then find the y-intercept.$f(x)=5(0.67)^x$choose the correct answer belowthe function represents exponential decay.the function represents exponential growth.

Explanation:

Step1: Identify growth/decay factor

Exponential form: $f(x)=a(b)^x$. For $0

Step2: Find y-intercept (x=0)

Substitute $x=0$: $f(0)=5(0.67)^0 = 5(1) = 5$.

Answer:

The function represents exponential decay.
The y-intercept is $(0, 5)$