Question

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)

Answer 1

c

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.