Finding range of piecewise function

The function is (1)/((3^(x^2+1)) for x is greater than or equal to zero and

5x + 3 for x is less than 0.

I understand the range of 5x + 3 under these circumstances is y

is less than or equal to 3 (and this is also the range for the entire piecewise function). I don't understand how to find the range of the first part of the piecewise function with teh fractional exponent. My book doesn't explain it well.

Re: Finding range of piecewise function

Quote:

Originally Posted by

**benny92000** The function is (1)/((3^(x^2+1)) for x is greater than or equal to zero and

5x + 3 for x is less than 0.

I understand the range of 5x + 3 under these circumstances is y

is less than or equal to 3 (and this is also the range for the entire piecewise function). I don't understand how to find the range of the first part of the piecewise function with teh fractional exponent. My book doesn't explain it well.

note $\displaystyle f(0) = \frac{1}{3}$

what happens to $\displaystyle \frac{1}{3^{x^2+1}}$ for $\displaystyle x > 0$ ?

Re: Finding range of piecewise function

Re: Finding range of piecewise function

Quote:

Originally Posted by

**benny92000** 1/3>y>0

ok ... so, what's the range of f(x)?