Bissoy.com
Doctors Medicines MCQs Q&A

Find the range of function sin(ex).

Find the range of function sin(ex). Correct Answer <span lang="EN-US" style=" line-height: 115%; background-image: initial; background-position: initial; background-size: initial; background-repeat: initial; background-attachment: initial; background-origin: initial; background-clip: initial;">[-1, 1]</span>

CONCEPT:

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 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

Related Questions

y=tan-1(sinex) হলে dydx  = কত  ? 
Which among the following statements about Satpura Range is/are correct? 1. Mountain Range Satpura and Vindhya Found in the Eastern part of India. 2. The range, the name of which means “Seven Folds,” forms the watershed between the Narmada (north) and Tapti (south) rivers. 3. If peaks more than 4,000 feet (1,200 meters) high, the Satpura Range includes the Mahadeo Hills to the north, the Maikala Range to the east, and the Rajpipla Hills to the west.
The digitization process i.e. the digital image has M rows and N columns, requires decisions about values for M, N, and for the number, L, of max gray levels is an integer power of 2 i.e. L = 2k, allowed for each pixel. If we assume that the discrete levels are equally spaced and that they are integers then they are in the interval __________ and Sometimes the range of values spanned by the gray scale is called the ________ of an image. and static range respectively b) and dynamic range respectively c) and static range respectively d) and dynamic range respectively
Validate the statement: “For a given image in one-dimension given by function f(x, y), to sample the function we take equally spaced samples, superimposed on the function, along a horizontal line. However, the sample values still span (vertically) a continuous range of gray-level values. So, to convert the given function into a digital function, the gray-level values must be divided into various discrete levels.”
In MS Excel, what is function inside another function called? A. Round Function B. Sandwich function C. Switch function D. Nested function 
Which of the following is incorrect? (i) Zojila pass - The Great Himalayan range (ii) Banihal pass -  Pir Panjal range (iii) Photu la pass -  Zaskar range (iv) Khardung la pass - Ladakh range
Which of the following statements related to 'C' language is/are FALSE? (i) A function must be declared globally in a C program to tell the compiler about the function name, function parameters, and return type. (ii) The parameter list must not differ in function calling and function declaration.
The Zaskar range, the Ladakh range, the Kailas and the Karakoram Range are the main ranges of:
What is the correct sequence of occurrence of the following mountain ranges as one proceeds from south to north? 1. Zaskar Mountains 2. Ladakh Range 3. Pir Panjal Range 4. Karakoram Range Select the correct answer using the code given below.
What is the correct sequence of occurrence of the following mountain ranges as one proceeds from west to east? Ural Mountains Kolyma range Koryak range Verkhoyansk range Select the correct answer using the code given below.