Answer:
A
Step-by-step explanation:
Choice A is correct. Since f(x) =
_3
2
x + b and f(6) = 7, substituting 6 for x in
f(x) =
_3
2
x + b gives f(6) =
_3
2
(6) + b = 7. Then, solving the equation
_3
2
(6) + b = 7
for b gives
_18
2
+ b = 7, or 9 + b = 7. Thus, b = 7 − 9 = −2. Substituting this
value back into the original function gives f(x) =
_3
2
x − 2; therefore, one can
evaluate f( −2) by substituting −2 for x: _3
2
(−2) − 2 = −_6
2
− 2 = −3 − 2 = −5.
Choice B is incorrect as it is the value of b, not of f(−2). Choice C is incorrect
as it is the value of f(2), not of f(−2). Choice D is incorrect as it is the value of
f(6), not of f(−2).
