Graph the function y=3(5)^x. What is the y-value if x=−6?

Answer 1

To graph the function y=3(5)^x, we can start by plotting a few points.

When x=0, y=3(5)^0 = 3(1) = 3. So we have the point (0,3).

When x=1, y=3(5)^1=3(5)=15. So we have the point (1,15).

When x=-1, y=3(5)^-1=3(1/5)=3/5. So we have the point (-1,3/5).

We can continue this process to find more points, or recognize that the graph will be an exponential growth curve.

Now, if x=-6, we can substitute this value into the equation to find the y-value:

y=3(5)^(-6)=3/5^6=3/15625.

So the y-value is 3/15625.