Find an exponential function of the form f (x) = ba^x that has the given y-intercept and passes through the point P: y-intercept = 125; P (3,1); A) $y = 5 \left( \frac { 1 } { 125 } \right) ^ { x }$ B) $y = \frac { 1 } { 125 } \left( \frac { 1 } { 5 } \right) ^ { x }$ C) $$y = 125 \left( \frac { 1 } { 5 } \right) ^ { x }$$ D) $y = 5 \left( \frac { 1 } { 5 } \right) ^ { x }$ E) $y = 125 \left( \frac { 1 } { 125 } \right) ^ { x }$

Question

Quizplus · Accepted Answer

The y-intercept is 125, so b = 125. The point P (3,1) is on the graph, so 1 = 125a^3. Solving for a, we get a = 1/5. Therefore, the function is f(x) = 125(1/5)^x.

Find an Exponential Function of the Form F (X) = y=5(1125)xy = 5 \left( \frac { 1 } { 125 } \right) ^ { x }y=5(1251​)x

Find an Exponential Function of the Form F (X) = $y = 5 \left( \frac { 1 } { 125 } \right) ^ { x }$