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Algebra
Pregunta

4. Given the exponential model:   \( y = 115 ( \fr...

4. Given the exponential model:   \( y = 115 ( \frac { 22 } { 11 } ) ^ { x } \) 

a) Does this model represent an exponential growth or decay? Justify your answer. b) What is the initial value? c) Sketch (i.e. you do not need to find/plot coordinates) the graph of the equation. Label the axes, origin, and the coordinates of the y-intercept. 

Answer

a. \( y = 1152 ^ { x } \) 

growth. 

\( y ^ { \prime } = 1152 ^ { x } \ln 2 > 0 \) 

b. \( y ( 0 ) = 115 \times 2 ^ { \circ } = 115\) 

Solución
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