Q. 127 - Precalculus Enhanced with Graphing Utilities

Question

Do you think that there is a power function that increases

more rapidly than an exponential function whose base is greater than 1 ? Explain.

Step-by-Step Solution

Answer

No, There is not any power function 

Step 1. Given information A power function like y   =   a x An exponential function like y   =   e x

For find any information about two curve , first we have to find insects point 

Step.2 Compare both curves

From graphs its clear that these curves intersects at $x = o$

for  $x>0$

$e^x>a^x$

where base of exponential function is $> 1$