Which of the following functions satisfies these two characteristics: f (1/2) = 0, f (2) = π

a. f (x) = - 2 sec (x)

b. f (x) = 7sin (x/4 - 1/29)

c. f (x) = π cos (πx)

d. f (x) = 2π cos (x - π/2)

c

Step-by-step explanation:

Only f (x) = π cos (πx) accounts for the correct results.

To varify, you need to substitute x for the value given in f (x).

f (1/2) = π cos (π * 1/2) and this result is 0

simularly ...

f (2) = π cos (π * 2) and this result is π

So answer c is correct.