Question

-18. Graph the functions Y, = 0.6* and Y, = 0.3.4 on a graphing calculator.Use a viewing window from -5 to 5 for x and from –2 to 8 for y, witha scale of 1 for both. Sketch the curves.How does the graph of Y, compare with the graph of Y ? Discuss howthe graphs rise or fall and the y-intercepts.

Answer 1

The Solution:

The given functions are:

`\begin{gathered} y_1=0.6^x \\ y_2=0.3^x \\ \text{for } \\ -5\leq x\leq5,-2\leq y\leq8 \end{gathered}`

From the graphing calculator, we have

Comparing the two graphs:

Both graphs are decreasing simultaneously and rises together. But

`\begin{gathered} y_2=0.3^x\text{ is decreasing faster than } \\ y_1=0.6^x\text{ when decaying. But rises faster when increasing.} \end{gathered}`

They both have the same intercept at point (0,1)