## anonymous 5 years ago Is this statement true or false and why: f(x) = 1^x is not an exponential function

1. anonymous

no because it is identically 1

2. anonymous

are you sure?

3. anonymous

i think it is an exponential function which is defined as a function b^x where b is any real number

4. anonymous

no exponential function of the form $f(x)=a\times b^x$ restrictions are $b>0$ and $b\neq 1$

5. anonymous

$f(x)=1^x$ same as $f(x)=1$ a constant function, not exponential

6. anonymous

so is it true or false?

7. anonymous

true because it says "NOT and exponential function'

8. anonymous

wait so why is it true?