Question
Download Solution PDFFind the range of function sin(ex).
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFCONCEPT:
Exponential functions are functions of the form f(x) = bx for a fixed base b which could be any positive real number.
The inverse of an exponential function is a logarithmic function. For the exponential function y=abx–h + k:
- The domain is all real numbers.
- The range is {y | y>k} if a > 0 or {y | y<k} if a < 0.
- Range of sin (x) is [-1, 1] and domain is R.
CALCULATIONS:
Given function is f (x) = sin(ex).
On comparing ex with y=abx–h + k, k = 0, a > 0
In this question range of ex will be the domain for sin function.
Range of ex is {y | y>0}, since k=0 and a>0.
So, range of sin(ex) will be [-1, 1]Last updated on May 30, 2025
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