Question

Graph the function.

Answer 1

Answer:

Please review my interpretation of the written expression.

Step-by-step explanation:

f(x) = 5*(4/5)^x    :  Is this correct?

If so, see attached graph.

One can calculate several points and then draw the graph, or use an online, and free, graphing app (DESMOS in this case).

Since the exponent is the variable, I'll pick a few vaules that are easy (for me) to calculate:

f(0) = 5*(4/5)^0

Anything raised to the 0th power is equal to 1, so we get 5*1 or 5 to make the point (1,5).

When x = 1, the fraction (4/5) remains (4/5) and when multiplied by 5, reduces to simply 4.  The second point is (1,4)

For the last point, I chose x to be 10.  5(4/5)^10 becomes 0.5.  The third point is (10,0.5)

We can see the line approaches 0 as x increases.