Graphing an exponential function and determine the domain and range

The video tutorial explains graph transformations, starting with the base graph y = 4^x. It covers how transformations like reflection and shifting affect the graph, including changes to the asymptote. The domain remains from negative to positive infinity, while the range is adjusted. The importance of applying transformations in the correct order is emphasized.

What is the base function of the graph before any transformations are applied?

• y = 2^x

• y = 4^x

• y = x^4

• y = 4x

Which transformation reflects the graph over the X-axis?

• Shifting up

• Shifting down

• Reflection over the X-axis

• Reflection over the Y-axis

What happens to the asymptote when the graph is shifted up?

• It remains unchanged

• It disappears

• It moves up

• It moves down

What is the domain of the transformed graph?

• From 0 to 1

• From -1 to 1

• From negative infinity to positive infinity

• From 1 to infinity

What is the range of the graph after transformations?

• From negative infinity to 0

• From negative infinity to 1

• From 0 to infinity

• From 1 to infinity