Question

Given: the function f defined by f(x) = 3x2 . Which statement is true? 1) f(0) = 0 2) f(−2) = f(2) 3) f(5) + f(2) = f(7) 4) f(5) − f(2) = f(10)

Answer 1

f(0) = 0 and f(−2) = f(2)

Explanation:

Given: the function f defined by f(x) = 3x²

f(0) = 3(0)²

f(0) = 0

f(-2) = 3(-2)²

f(-2) = 3(4)

f(-2) = 12

f(2) = 3(2)²

f(2) = 3(4)

f(2) = 12

Hence f(-2) = f(2)

Therefore the correct options are f(0) = 0 and f(−2) = f(2)