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Logarithmic Functions Solutions

Using technology, think about the following questions, and then reveal the answers.
Use the function: $f (x) = a \log_{b} (x - h) + k$
Start with h = 0, and k = 0.

$As x \to + \infty, g (x) \to - \infty, and as x \to 0, g (x) \to + \infty$

$As x \to + \infty, g (x) \to + \infty, and as x \to 0, g (x) \to - \infty$

$As x \to + \infty, g (x) \to + \infty, and as x \to 0, g (x) \to - \infty$

$As x \to + \infty, g (x) \to - \infty, and as x \to 0, g (x) \to + \infty$

What happens to the graph when the values of h and k do not equal 1 (are something other than zero)?

The graph translates (slides) right/left and up/down.

Use of the Desmos Graphing Calculator and other Desmos Tools is used with permission from Desmos Studio, PBC.

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