how to sketch the graph of f(x)=2^X-5 and its inverse on the graph?

Mathematics
Tutor: None Selected Time limit: 1 Day

f(x)=2^x-5

Jun 16th, 2015

Hi !

f(x)=2^x-5

 We can also write it as

y = 2^x - 5

To find y-intercept put x = 0

y = 2^0 - 5

y = 1 - 5

y = - 4

Point is (0 , - 4)

To find x-intercept, put y = 0

0 = 2^x - 5

5 = 2^x

Taking n on both sides

ln(5) = xln(2)

x = ln(5) / ln(2) = 2.322

Point its  (2.322, 0)

Graph

Inverse of the function

y = log(x + 5) / log(2)

Graph


Hope you get it. Thanks :)
Jun 16th, 2015

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