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Chapter 10: Q12. (page 528)

Write an exponential function whose graph passes through the points 0,-18and-2,-2.

Short Answer

Expert verified

The exponential function passing through the given points is y=-183x.

Step by step solution

01

Step 1. Write down the given information.

The given points are 0,-18and-2,-2.

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,-18and-2,-2in exponential function y=abx.

y=abx....1鈭�18=ab0....Forthepoint0,鈭�18a=鈭�18....2

Similarly,

y=abx鈭�2=ab鈭�2....Forthepoint鈭�2,鈭�2鈭�2=ab2鈭�2=鈭�18b2....From2a=鈭�18b2=9b=3....鈭�b>0

Plugging a=-18,b=3 in (1) gives y=-183x which is the required exponential function passing through the given points 0,-18and-2,-2.

04

Step 4. Conclusion.

The exponential function passing through the given points is y=-183x.

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