Question

This table shows several values of an exponential function.
x f(x)
–
1
–
1
0
–
6
1
–
36
2
–
216
Write an equation for the function in the form f(x)=a(b)x.
Use whole numbers, decimals, or simplified fractions for the values of a and b.
f(x)=

Answer 1

f(x) = -6(6)^x

Reason: f(0) = -6 gives a = -6, and each step multiplies by 6 (−6 → −36 → −216), so b = 6.