Explanation:
if you made no typo, then the function is
f(x) = -9^x + 1
or did you mean
f(x) = -9^(x + 1)
the answer options would suggest the second one.
because for the first one all 3 are wrong :
(0, -9)
f(0) = -9⁰ + 1 = 1 + 2 = 2
and not -9
No.
(1, 81)
f(1) = -9¹ + 1 = -9 + 1 = -8
and not 81
No.
(-1, -1)
f(-1) = -9^-1 + 1 = -1/9 + 1 = 8/9
and not -1
No.
for the second function this looks differently
(0, -9)
f(0) = -9^(0 + 1) = -9¹ = -9
the result is -9
Yes.
(1, 81)
f(1) = -9^(1 + 1) = -9² = 81
the result is 81
Yes.
(-1, -1)
f(-1) = -9^(-1 + 1) = -9⁰ = 1
and not -1
No.