The formula for the nth square number is S_n = n^2. Use the formula to find the 11th square number.
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Answer:
I figured all these out by graphing the function. See the attachment for a picture.
h(x) = (x-1)^2
It's <u>increasing over (1, ∞)</u> because the values are going up in that span.
It's <u>decreasing over (-∞, 1)</u> because the values are going down in that span.
Its range is all values of <u>y </u><u> 0</u> (we can see that only y-values above 0 are in the function).
g(x) = -(x+1)(x-1)
It's <u>increasing over (-∞, 0)</u> because the values are going up in that span.
It's <u>decreasing over (0, ∞)</u> because the values are going down in that span.
Its range is all values of <u>y </u><u> -1</u> (we can see that only y-values below 1 are in the function).
