Question

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

Answer 1

y = 3·5^x is an exponential growth curve with horizontal asymptote y = 0 and y-intercept (0, 3). Useful points to plot:
- x = −2 → y = 3·5^(−2) = 3/25 = 0.12
- x = −1 → y = 3/5 = 0.6
- x = 0 → y = 3
- x = 1 → y = 15

If x = −6:
y = 3·5^(−6) = 3 / 5^6 = 3/15625 = 0.000192.