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f(x)=100(0.95)^(x) If the function is graphed in the xy plane, what is the y-intercept of the graph? Choose 1 answer: (A) 0 (B) 0.95 (C) 95 (D) 100

f(x)=100(0.95)x f(x)=100(0.95)^{x} \newlineIf the function is graphed in the xy x y plane, what is the y y -intercept of the graph?\newlineChoose 11 answer:\newline(A) 00\newline(B) 00.9595\newline(C) 9595\newline(D) 100100

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Inverses of csc, sec, and cotright chevron icon

Full solution

Q. f(x)=100(0.95)x f(x)=100(0.95)^{x} \newlineIf the function is graphed in the xy x y plane, what is the y y -intercept of the graph?\newlineChoose 11 answer:\newline(A) 00\newline(B) 00.9595\newline(C) 9595\newline(D) 100100
  1. Identify y-intercept: Identify the y-intercept of a function.\newlineThe y-intercept of a function is the value of the function when xx equals 00. This is found by evaluating the function at x=0x = 0.
  2. Substitute x=0x = 0: Substitute x=0x = 0 into the function to find the y-intercept.f(x)=100(0.95)(x)f(x) = 100(0.95)^{(x)}f(0)=100(0.95)(0)f(0) = 100(0.95)^{(0)}
  3. Calculate function value: Calculate the value of the function at x=0x = 0.\newlinef(0)=100(0.95)0=100(1)=100f(0) = 100(0.95)^{0} = 100(1) = 100

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