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Chapter 10: Q36. (page 528)

Write an exponential function whose graph passes through the points 0,-5and-3,-135.

Short Answer

Expert verified

The exponential function passing through the given points is y=-513x.

Step by step solution

01

Step 1. Write down the given information.

The given points are 0,-5and-3,-135.

02

Step 2. Concept used.

The exponential function is of the form y=abx where a鈮�0,b鈮�1andb>0.

03

Step 3. Satisfying the given points in exponential function.

On satisfying the points 0,-5and-3,-135in exponential function y=abx.

y=abx....1鈭�5=ab0....Forthepoint0,鈭�5a=鈭�5....2

Similarly,

y=abx鈭�135=ab鈭�3....Forthepoint鈭�3,鈭�135鈭�135=鈭�5b3....From2a=鈭�5b=13....鈭�b>0

Plugging a=-5,b=13 in (1) gives y=-513x which is the required exponential function passing through the given points.

04

Step 4. Conclusion.

The exponential function passing through the given points is y=-513x.

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