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Chapter 10: Q35. (page 528)

Write an exponential function whose graph passes through the points 0,7and2,63.

Short Answer

Expert verified

The exponential function passing through the given points is y=73x.

Step by step solution

01

Step 1. Write down the given information.

The given points are 0,7and2,63.

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 0,7and2,63in exponential function y=abx.

y=abx....17=ab0....Forthepoint0,7a=7....2

Similarly,

y=abx63=ab2....Forthepoint2,6363=7b2....From2a=7b=3....鈭�b>0

Plugging a=7,b=3 in (1) gives y=73x 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=73x.

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