What is the domain of f(x) = log2 x + 3?
Hint
Graph it on a graphing calculator: look left to right for the domain.
Answer
Domain: (0,∞)
What is the range of f(x) = log2 x + 3?
Graph it on a graphing calculator. (If you did the last problem it should still be graphed!) Look down to up for the range.
Range: (-∞,∞)
How is f(x) = log2 x + 3 different from f(x) = log2 x?
Graph each one on the graphing calculator. Look at the difference.
f(x) = log2 x + 3 has a steeper hill than f(x) = log2 x.
What is the domain and range of f(x) = -log2 x?
Graph it on a graphing calculator: look left to right for the domain and down to up for the range.
Domain: (0,∞), Range: (-∞,∞)
How is f(x) = -log2 x different from f(x) = log2 x?
Graph it and you are in for a little surprise.
Kewl. The graph is completely reflected over the x axis.
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