(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

1- The following function is one-to-one

f(x)= -x if x belongs to [-1,0]

f(x)=3x+2 if x belongs to [0,1]

2- The following parametric curve represents a line segment from (0,3) to (2,0) :

x(t)=2sin^2(t) and y(t)=3cos^2(t) where t belongs to [0,pi/2]

2. Relevant equations

3. The attempt at a solution

For (1): I think its false, if we draw the function on the interval [-1,1] we will get a graph which is similar to the graph of f(x)=|x| (the v-shape). clearly there are horizontal lines intersect the curve of f in more than one point, so its not 1-1 function, so the statement is false.

For (2): I do not have any idea!

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# Homework Help: True/False : 2 Questions

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