Find the domain of the following piecewise function.

https://aoa.sooschools.com/media/g_alg01_ccss_2016/3/g_alg01u03l26_q06_ps.gif
[0,5)
(0,5]
[-1,5)
(-1,5]

Question

Find the domain of the following piecewise function.

https://aoa.sooschools.com/media/g_alg01_ccss_2016/3/g_alg01u03l26_q06_ps.gif
[0,5)
(0,5]
[-1,5)
(-1,5]

mathmale · Answer

Try this:  Look carefully at the function definition given.  This function is defined ONLY for some x, not for all x.  For which x values is this function defined?  Please respond by typing out one or more sets of input values for which the function is defined.

skarlettrose186 · Answer

I'm still really confused. I don't know how to solve these kind of functions

mathmale · Answer

Some functions are defined for all x.  For example, y=x^2 is defined for all x.

Other functions are defined only for specific x-values.  For example,

y=x^3, [1, 2] states that y=x^3 (an example of the cubing function) is defined only for x=1, x=2 and all x values in between.  Thus, the domain is [0,1].

Please take another look at the given function.  For which x-values is it defined?