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The graph of a logarithmic function is shown below. On a coordinate plane, a curve starts at y = -2 in quadrant 4 and curves up into quadrant 1 and approaches y = 2. What is the domain of the function? A. x > 0 C. x < 1 D. all real numbers

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00:44

Find the domain of each logarithmic function analytically. You may wish to support your answer graphically.$$y=\log \left(-\frac{1}{2} x\right)$$

00:32

Find the domain of each logarithmic function analytically. You may wish to support your answer graphically.$$y=\log \frac{1}{2} x$$

Find the domain of each logarithmic function analytically. You may wish to support your answer graphically.$$y=\log 2 x$$

00:36

Find the domain of each logarithmic function analytically. You may wish to support your answer graphically.$$y=\log (-x)$$

00:39

Find the domain of each logarithmic function analytically. You may wish to support your answer graphically.$$f(x)=\log \left(-\frac{1}{2} x\right)$$

Transcript

So in this problem we are shown the graph of a log function and it asked what the domain of the function would be. So it is going from 0, but it’s never art…