Thread: 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.

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

what happens to for ?

1/3>y>0

Originally Posted by benny92000

1/3>y>0

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