Question

Which statements are true of the given function?

Check all that apply.

A) f[-1/2] = -2
B) f(0) = 3/2
C) f(1) = -1
D) f(2) = 1
E) f(4) = 7/2

(B and E are the answers)

Answer 1

Option B (3/2) and E (7/2)

Explanation:

Given function
`f(x) = (x)/(2) + (3)/(2) = ((x + 3))/(2)`

so,

(A)
`f((-1)/(2)) = ((-1)/(2)+3 )/(2) = ((5)/(2) )/(2) = (5)/(4)` (Incorrect)

(B)
`f((-1)/(2)) = (0+3 )/(2) = (3)/(2)` (Correct)

(C)
`f((-1)/(2)) = (1+3 )/(2) = (4)/(2) = 2` (Incorrect)

(D)
`f((-1)/(2)) = (2+3 )/(2) = (5)/(2)` (Incorrect)

(E)
`f((-1)/(2)) = (4+3 )/(2) = (7)/(2)` (Correct)