Much of the following functions die one to one on the given domains? Note that t

Question

Much of the following functions die one to one on the given domains? Note that there may be more than answer. Lot the numbers of all the one-lo one expressions separated by semi-colons. For example 2;4;1 The order does not matter x^2+3 on [5,10] x^3 + 6x^2 on [-1,3] 1/x-2 on [0,4] sin(2x) on [-pi/4, pi/4] This question accepts lists of numbers or formulas separated by semicolons E.g. *2; 4; 6" or "x+1; x-1''. The order of the list doesn't matter but be sure to separate the terms with semicolons.

Explanation / Answer

1) a function is one to one function if it passes both vertical and horizontal line test

x^2 + 3 [5,10]

the function is one to one function for the domain [5,10] since it passes both vertical and horizontal line test

2) x^3+6x^2 [-1,3]

not a one to one function since it does not pass horizontal line test

3) 1 / (x-2) [0,4]

function is one to one function since it passes both tests

4) sin (2x) [-pi/4 , pi/4]

function is one to one function

therefore, 1,3,4 are one to one function

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