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Characteristics:Domain: All Real NumbersRange: All Real NumbersAsymptote: x=0End Behavior: As x, y-As x-, y0Interval of Increase:~NONE~Interval of Decrease: (-, )Interval Where Positive: ~NONE~Interval Where Negative: (0,-)Intercepts:X-int.=noneY-int.=-1-No Vertex-The Function, as well as the transformations are neither even or odd!
Characteristics:Domain: All Real NumbersRange: All Real NumbersAsymptote: x=0End Behavior: As x, yAs x-, y0Interval of Increase: (-, )Interval of Decrease: ~NONE~Interval Where Positive: (1, )Interval Where Negative:~NONE~Intercepts:X-int.=noneY-int.=1-No Vertex-The Function, as well as the transformations are neither even or odd!
SoWhat Changed?This Function has been reflected across the x-axis. This transformation caused the y intercept, the place where the line touches the y axis, to reflect to -1, rather than regular1. The asymptote (the value that the line approaches but never meets) is the same (the x-axis), but the graph is approaching it from the other side of the coordinate plane.
Vertical Stretch
Combination!What Changed?This graph is a combination of two different transformations. The first transformation is a reflection across the x-axis, with the second transformation shifting the whole graph down 4 units. The graph will never EVER touch the 1st and 2nd quadrants.
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Best Math Teacher Ever!!!!!
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MS. Johnston!
Click the button to go back to the Beginning! Thank You for Watching the Exponent Family.
The Exponential Function FamilyPlease Press the Escape button to exit this presentationPlease Press the Escape button to exit this presentation