Question

Make the graph of =y−e−x4.
Give the range and domain of =y−e−x4 using interval notation

Answer 1

The graph of the function
`y = -e^{-x + 4` is added as an attachment

The domain is x > 0 and the range is y < 0

Sketching the graph of the function

From the question, we have the following parameters that can be used in our computation:

`y = -e^{-x + 4`

The above function is an exponential function that has been transformed as follows

• Reflected across both axes
• Shifted to the left by 4 units

Next, we plot the graph using a graphing tool by taking not of the above transformations rules

The graph of the function is added as an attachment