Why does this function result in a positive number?

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jrowland

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I am just starting to learn about graphs of functions. My exercise problem is to provide a table of values (from -3 to +3 for X) and then graph this function: F(x) = 1/2 X^2. My graphing calculator (and my answer key) tells me thatif X=-3, then Y=4.5 (positive).

I am reading this as one-half of X-squared. So, negative 3 squared would be negative nine... halved would be negative 4.5... but, obviously, I'm reading it wrong. Why?

Thanks! I'm sure I'll be posting a lot of questions.
 
Hey jrowland,

(-3)2= (-3)*(-3) = 9

So negative numbers squared are always positive.
 
jrowland said:
I am just starting to learn about graphs of functions. My exercise problem is to provide a table of values (from -3 to +3 for X) and then graph this function: F(x) = 1/2 X^2. My graphing calculator (and my answer key) tells me thatif X=-3, then Y=4.5 (positive).

I am reading this as one-half of X-squared. So, negative 3 squared would be negative nine... halved would be negative 4.5... but, obviously, I'm reading it wrong. Why?

Thanks! I'm sure I'll be posting a lot of questions.
Click to expand...

this function: F(x) = 1/2 X^2.

provide a table of values (from -3 to +3 for X) --- click here
and then graph -- click here
 
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