Four functions are given below. Either the function is defined explicitly, or the entire graph of the function is shown.

For each, decide whether it is an even function, an odd function, or neither.

Question

Four functions are given below. Either the function is defined explicitly, or the entire graph of the function is shown.

For each, decide whether it is an even function, an odd function, or neither.

anonymous · Answer

I can't post the graphs and equations they give me but how can I tell the difference?

anonymous · Answer

@jim_thompson5910

jim_thompson5910 · Answer

are you able to do a screenshot?

jim_thompson5910 · Answer

well with graphs, if you have symmetry with respect to the y axis, then the function is an even function https://www.mathsisfun.com/algebra/images/function-even.gif

anonymous · Answer

I tried to earlier but it wasn't working =/ I can try drawing them

jim_thompson5910 · Answer

if you have rotational symmetry with respect to the origin, then it's an odd function http://www2.bc.cc.ca.us/resperic/Math6A/Lectures/ch1/1/evenodd/evenod9.gif

jim_thompson5910 · Answer

functional notation

if f(-x) = f(x) is true for all x in the domain, then f(x) is an even function

if f(-x) = -f(x) is true for all x in the domain, then f(x) is an odd function

anonymous · Answer

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anonymous · Answer

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